The calculation of the specific gravity is actively used in various spheres. This indicator is applied in the economy, statistics, when analyzing financial activities, sociology and other areas. How to determine the proportion of a substance, we will tell in this article. Sometimes this calculation is used in writing analytical sections of theses and coursework.

The proportion is a method of statistical analysis, one of the types of relative values. Less often, the indicator is called the fraction of the phenomenon, that is, the percentage of the element in the total amount of the aggregate. Its calculations are usually carried out directly as a percentage using a formula - depending on whether the share is determined.

How to calculate the share of any substances or elements

Each thing or tool has a specific set of characteristics. The main property of any substance is the proportion, that is, the ratio of the mass of a particular subject and the volume it takes. We obtain this indicator based on the mechanical determination of the substance (matter). Through it, we go to the field of qualitative definitions. The material is no longer perceived as an amorphous substance that seeks to his center of gravity.

For example, all the bodies of the solar system are characterized by an indicator of specific gravity, as they differ in their weight and volume. If you disassemble our planet and her shell (atmosphere, a lithosphere and hydrosphere), it turns out that they differ in their characteristics, including the specific weight. The chemical elements also have their own weight, but in their case - atomic.

Specific Economy - Formula

Many mistakenly take the proportion of density, but these are two fundamentally different concepts. The first one does not apply to the number of physicochemical characteristics and differs from the density indicator, for example, as weight weight. The formula for calculating the specific weight looks like this: \u003d Mg / V. If the density is the ratio of the mass of the subject to its volume, then the desired indicator can be calculated using the formula \u003d g.

The proportion is calculated in two ways:

  • using volume and mass;
  • experimental by comparing pressure values. Here it is necessary to use the hydrostatic equation: P \u003d PO + H. However, this method of calculating the specific gravity is permissible if all measured values \u200b\u200bare known. Based on the data obtained using the experimental method, we conclude that each substance that is in the vessels will have a different height and the rate of expiration.

To calculate the specific weight indicator, take advantage of another formula that we have studied the school lessons of physics. The power of Archimedes, as we remember, this is the energous energy. For example, there is a load with a certain mass (the load is denoted by the letter "M"), and it rests on the water. At the moment, two forces are affected - gravity and archimedes. In accordance with the force of Archimedes, it looks like this: fapx \u003d gv. Since G is equal to the specific weight of the fluid, we obtain another equation: fapx \u003d yv. Hence the following: Y \u003d FAPX / V.

Simply put, the proportion of the weight is divided into volume. Moreover, the formula can be represented in various interpretations. However, the content and method of counting will be the same. So, the proportion is equal: part of the whole divide on the whole and multiply by 100%. There are two important rules that it is worth remembering that when making calculations:

  • The sum of all particles should always be 100%. Otherwise, additional roundings should be carried out, and the calculations are carried out using hundredths.
  • There is no fundamental difference in what exactly you calculate: the population, the income of the organization produced, the balance, debt, active capital, revenue - the calculation technique will be the same: the part distribution on general and multiplication by 100% \u003d specific weight.

Examples of economic settlements of specific gravity

Let's give a visual example. The director of the Woodworking Plant wants to calculate the proportion of the implementation of a particular product type - the board. He must know the values \u200b\u200bof the sale of this product and the total volume. For example, the product is a board, a bar, a horn. Revenue from each type of production is 155 thousand, 30 thousand and 5 thousand rubles. The value of the specific vagi - 81, 6%, 15, 8%, 26%. Consequently, the total revenue is 190 thousand, and the total proportion is 100%. To calculate the specific weighing of the board, we divide 155 thousand to 190 thousand and multiply by 100. We get 816%.

Workers (staff)

The calculation of the specific weight of workers is one of the most popular types of calculations in the study of a group of employees. The study of high-quality and quantitative performance indicators is often used for statistical reporting of firms. Let's try to figure out which options for calculating the share of personnel exist. The calculation of this indicator has the form of the relative size of the structure. Therefore, it is necessary to use the same formula: part of a whole (group of employees) We divide on a whole (total number of employees) and multiply by 100%.

Deductions on VAT

To determine the proportion of tax deductions per a certain amount of monetary turnover on implementation, it is necessary to divide this number for a total of turnover and multiply the result of the result on the amount of tax deductions percentage of sales turnover. The proportion is calculated with an accuracy of at least four decimal places. And the turnover amount is the number of tax base and VAT, calculated from this tax base, and the amount of reducing (increase) of the tax base.

In balance

The definition of the balance of the balance is based on the comparison of the Asset funds with liability obligations. Moreover, the first are distributed in groups according to their liquidity and are placed in descending order of liquidity. And the second is grouped in accordance with the terms of their repayment and are located in ascending order of the deadlines. According to the degree of liquidity (transformation rate to the cash equivalent), the assets of the organization are divided into:

  • The most liquid assets (A1) are the entire set of articles of the organization and short-term investments (securities). This group is calculated as follows: a1 \u003d money on the balance of firms + short-term investments.
  • Operationally implemented assets (A2) - debt debit whose payments expected during the year after the day of the report. Formula: A2 \u003d short-term receivables.
  • Slowly realized assets (A3) are the components of the second balance of the balance, including reserves, receivables (with payments that will not earlier than a year), VAT and other defensive assets. To get an A3 indicator, you need to summarize all the assets listed.
  • It is difficult to implement assets (A4) - outside the current assets of the company's balance sheet.

asset

To determine the specific indicator of any assets of the enterprise, you need to get the amount of all its assets. To do this, use the formula: A \u003d B + C + D + E + F + G. Moreover, and - these are all assets of the organization, its real estate, C - the total number of deposits, D is all machines, equipment; E - the number of securities; F - Cash existing in the assets of the company; G-patents, trademarks of the enterprise. Having a sum, you can find the proportion of a certain type of assets of the organization.

fixed assets

The proportion of various groups of fixed assets in total value represents the structure of fixed assets. The share of fixed assets at the beginning of the year is calculated by dividing the value of fixed assets (located on the balance sheet of the enterprise at the beginning of the year) on the amount of the balance at the same time. First, it is necessary to determine that the company belongs to the main funds. this is:

  • real estate (workshops, industrial architectural and construction sites, warehouses, laboratories, engineering and construction sites, including tunnel, roads, overpass, etc.);
  • transmission devices (equipment for transporting gaseous, liquid substances and electricity, such as gas networks, heating networks)
  • machines and equipment (generators, steam machines, transformers, turbines, measuring instruments, various machines, laboratory equipment, computing apparatus and much more);
  • vehicles (wagons, motorcycles, passenger car for transportation of goods, carts)
  • tools (except special tools and snap)
  • production facilities, inventory (racks, machine tools, desktops)
  • economic inventory (furniture, machinery);
  • other major funds (museum and library materials).

expenditures

During the calculation of the specific expenditure, parts of individual material or other (for example, commodity) costs are applied. The calculation formula looks like this: the costs are divided into cost and multiplied by 100%. For example, the cost of production is made from the price of raw materials (150000 rubles), employee salaries (100,000 rubles), energy consumption (20,000 rubles) and rent (50,000 rubles). So, the cost price is 320000 rubles. And the share of salary costs is 31% (100 / 320x100%), on raw materials - 47% (150 / 32x100%), for rent - 16% (50 / 320x100%), the residue - 6% falls on electropitrates.

How to automate calculations in Excel?

The proportion is determined by the ratio of the weight of matter (P) to the volume occupied by it (V). For example, 85 students learn at the university, of which 11 people were passed on the "5". How to calculate their proportion in the excel table? In the cell with the result, you should install a percentage format, then there will be no need to multiply 100 - this is, as the translation into percentages, occurs automatically. I exhibit in the same cell (for example, R4C2) values \u200b\u200b85 to another (R4C3) - 11. The resulting cell should be prescribed by the formula \u003d R4C3 / R4C2.

how to calculate the share of receivables of the video formula.

Activities of any enterprise specialists have to deal with a specific system of indicators. One of them is the proportion. In the economy, this is an indicator that reflects the weightlessness of a financial phenomenon.

General definition

Serve micromodes of various phenomena in financial activities as a state as a whole and a business entity in particular. They are subjected to various fluctuations and changes due to the reflection of the dynamics and contradictions of all occurring processes, they can approach and move away from the main purpose - evaluation and measurement of the essence of a particular economic phenomenon. That is why the analyst should always remember the objectives and objectives of the conducted studies using indicators of evaluating various aspects of enterprises.

Among the many economic indicators enrolled in a certain system, it is necessary to highlight the following:

  • natural and cost, depending on the selected meters;
  • high-quality and quantitative;
  • volumetric and specific.

It is the last thing in view of the indicators and will be paid to this article.

Specifying in the economy

This is a relative and derived indicator from its surround analogs. As a specific gravity, it is considered to develop on one employee, the amount of commodity reserves in days, the cost level of one ruble sales, etc. Also widely used, such relative indicators as structure, dynamics, implementation of the plan and the intensity of development are also widely used.

The proportion of the economy is the relative proportion of individual elements in the amount of all its components.

As an important thing to be considered the amount of coordination considered as a comparison of individual structural parts of a single whole. An example is a comparison in the passive part of the balance of the business entity of borrowed and equity.

Thus, the proportion in the economy is an indicator that is peculiar to some meaning with its meaning for analysis and control. However, as for any relative indicator, it is characterized by the presence of a certain limitation. Therefore, the proportion of the economy, the formula for calculating which is contained in any thematic textbook, it is advisable to consider in a complex with other economic parameters. It is this approach that will allow objectively and comprehensively to conduct studies of the economic activities of business entities in a particular area.

Method of calculation

The answer to the question of how to find the specific weight in the economy depends on which the sphere it is necessary to consider. In any case, this is the ratio of the private indicator to the total. For example, the proportion of value-added tax revenues in total tax revenues is calculated as the ratio of VAT business entities to the total amount of income from paying all taxes. Similarly, the proportion of tax revenues in the profitable part of the federal budget of the Russian Federation is calculated, only taxes are taken directly as a private indicator, and the total amount of budget revenues for a specific period (for example, year) is accepted.

unit of measurement

What is the specific weight in the economy? Of course, in percent. Unit of measurement follows from the formulation of this concept. It is why it is calculated in the fractions of either percent.

The value of the indicator "Specific" in the overall assessment of the state economy

As mentioned above, the proportion of the economy characterizes its structure in various areas of activity. For example, the sectoral structure shows the degree of openness of the economy of any state. The higher the indicator of the specific gravity of such basic industries as metallurgy and energy, the lower the country's involvement in the division of labor internationally, which characterizes the lower openness of its economy as a whole.

Also, the degree of openness of the economy of any state is characterized by a share of exports to GDP (and this is also the relative indicator submitted by the specific weight). It is believed that for countries with an open economy, the proportion of exports exceeds 30% of GDP, the closed economy is up to 10%.

However, the considered proposed export weight in GDP is not the only indicator of openness or the closedness of the economy. Other indicators are also known. As an example, the export or which are calculated by finding the cost of export value (import) to GDP.

Summing up this, it should be noted that the share of various indicators in the economic system is a kind of indicator of its successful operation, according to its individual activities, it is possible to draw conclusions about the openness or closedness of the economy. At the same time, the analysis of the structure of any economic sphere will allow for a timely manner to determine the factors affecting certain indicators.

    To not get confused, I will form a formula from your task, i.e.

    Need to find a specific weight

    There are two values:

    1 - some indicator

    2 - Common Part

    It is necessary to find it in percent.

    So the formula will be like this:

    Specific weight \u003d Some indicator / general part * 100%

    There is some common part. It takes 100%. It consists of individual components. The proportion of them can be calculated according to the following template (formula):

    Thus, in the numerator there will be part of the whole, and in the denominator itself, and the fraction itself is multiplied by one hundred percent.

    When the specific weight must be remembered by two important rules, otherwise the decision will be incorrect:

    Examples of calculation in a simple and complex structure can be viewed by reference.

    Consider the calculation of the specific gravity in percentage on the example of calculating the specific weight of the average number of employees, for the convenience of writing, this term will determine the abbreviation of the sch.


    The procedure for calculating the SCR is provided for by the Tax Code of the Russian Federation, paragraph 1 of Article 11.

    To calculate the SCM for each individual unit, the head office and the organization in full, it is necessary to calculate the score for each month, then the SCR for the report period.

    The amount of the SCR for each calendar day of the month, divided by the number of days of the month, will equal to the SCR for the month.

    The sum of the SCR for each month of the report period, divided into the number of months of the report period, equals the SCR for the report period.

    In accordance with paragraph 8-1.4, Rosstat's instructions, the SCR is indicated only in full units. For young, newly educated separate divisions, the SCC value for the reporting period may be less than an integer. Therefore, in order not to conflict with the tax authorities, for tax purposes, it was proposed to apply the Mathematical Rules for the calculation of the SCR, less than 0.5, more than 0.5 round up to one.

    The invoice value of a separate unit / head organization, divided by the Account value for the organization as a whole for the report period, will be equal to the specific scope of the SCR of each individual unit and the head organization.

    To begin with, let's understand what the proportion of the component of the substance. This is its attitude to the total mass of the substance multiplied by 100%. Everything is simple. You know how much weighs all the substance (mixture, etc.), you know the weight of a particular ingredient, divide the weight of the ingredient for the total weight, multiply 100% and get the answer. Also, the proportion can also be assessed through specific density.


    To evaluate the importance of a TV or another indicator, you need calculate the proportion of percent. For example, in the budget you need to calculate the proportion of each article to, first of all, to engage in the most important budget items.

    To calculate the proportion of the indicators, you need to divide the sum of each indicator to the total final sum of all the indicators and multiply by 100, that is,: (indicator / sum) x100. We get the weight of each indicator in percent.

    For example: (255/844) x100 \u003d 30.21%, that is, the weight of this indicator is 30.21%.

    The amount of all specific scales in the end should be 100, so you can check correctness of calculating specific weight in percent.

    The proportion is calculated in percent. We find a share of private from the general, which, in turn, is taken for 100%.

    Explain on the example. We have a package / bag with fruit, which weighs 10 kg. There are bananas, oranges and tangerines in the bag. The weight of bananas - 3 kg, the weight of oranges is 5 kg, well, and the weight of tangerines is 2 kg.

    To determine specific gravityFor example, oranges need to take the weight of oranges to divide into the overall weight of fruits and multiply 100%.

    So, 5 kg / 10kg and multiply 100%. We get 50% - this is the proportion of oranges.


    The weight of the weight is considered as a percentage !! Let's say a part of the whole. I will recognize a part divide for a whole number and multiply by 100%.

    Then 10002000 * 100% \u003d 50. And so each share need to count on.

    To calculate the proportion of some indicator as a percentage of the total part, the value of this indicator is directly divided into the value of the total part and multiply the resulting number one hundred percent. So you will get a specific weight in percent.

    The proportion as a physical indicator is calculated by the formula:

    Where P is the weight,

    a v is the volume.

    The specific weight in percent is calculated by the simple ratio of whole specific weights to parts of specific weights. To get the digit in percent, you need to multiply the final result by 100:

Definition of specific weight

The physical value, which is the ratio of the weight of the material to the volume occupied by them, is called HC material.

Materials science of the XXI century far went ahead in and already mastered technologies that were considered fantastics some hundred years ago. This science can offer the modern alloys industry, which differ from each other with high-quality parameters, but also physico-technical properties.


To determine how some alloy can be used for production, it is advisable to determine the HC. All items made with an equal volume, but for their production various types of metals were used, will have a different mass, it is in a clear connection with the volume. That is, the ratio of volume to mass This is a certain constant number characteristic of this alloy.

To calculate the density of the material, a special formula that has a direct connection with HC material is used.

By the way, the HB of iron, the main material for the creation of steel alloys, can be determined by weight 1 cm 3, reflected in grams. Moreover, HC metal, the harder will be the finished product.

Swelling formula

The formula for calculating HC looks like weight ratio to volume. To calculate HC, it is permissible to apply the calculation algorithm that is set out in the school course of physics.
To do this, use the Archimedes Act, or rather the definition of force that is ejecting. That is, the load with some mass and at the same time it holds on the water. In other words, two forces are influenced by him - gravity and archimedes.

The formula for calculating the archimederal force looks like this

where G is HC liquid. After the replacement of the formula, the following form F \u003d y × V acquires, from here we obtain the y \u003d f / v shipment formula.

The difference between weight and mass

What is the difference between weight and mass. In fact, in everyday life, she does not play any role. In fact, in the kitchen, we do not develop between the weight of the chicken and its mass, but meanwhile between these terms there are serious differences.

This difference is clearly visible when solving problems associated with moving bodies in the interstellar space and as having a relationship with our planet, and in these conditions these terms differ significantly from each other.
We can say the following, the term weight matters only in the area of \u200b\u200bgravity, i.e. If a certain object is located next to the planet, the star, etc. Weight can be called force with which the body presses on the obstacle between it and the source of attraction. This force is measured in Newton. As an example, it is possible to submit the following picture - next to the paid formation is the stove, with a certain object located on its surface. The force with which the subject presses on the surface of the plate and will be weighing.

The body weight is directly related to inertia. If we consider this concept in detail, it can be said that the mass determines the size of the gravitational field created by the body. In fact, this is one of the key characteristics of the universe. The key difference between weight and mass is as follows - the mass does not depend on the distance between the object and the source of the gravitational force.

Multi-kilograms, pound, etc., are used to measure the mass, pound, etc. There is an international system of SI, in which we use the usual, kilograms, grams, etc., but besides it, in many countries, for example, the British Islands, there is its own system of measures and scales, Where weight is measured in pounds.

Wu - what is it?

The proportion is the ratio of the weight of matter to its volume. In the international measurement system, it is measured as Newton on a cubic meter. To solve certain problems in physics, the HC is determined as follows - how much the substance is heavier than water at a temperature of 4 degrees, provided that the substance and water have equal volumes.

For the most part, such a definition is used in geological and biological research. Sometimes, the HC, calculated by this technique, is called relative density.

What is the difference

As already noted, these two terms are often confused, but since weight is directly dependent on the distance between the object and the gravitational source, and the mass does not depend on this, so the terms of the HC and the density differ in each other.
But it is necessary to take into account the fact that under some conditions mass and weight may coincide. It is almost impossible to measure WC at home. But even at the school laboratory level, such an operation is quite easy to perform. The main thing that the laboratory would be equipped with weights with deep bowls.


The subject must weigh under normal conditions. The resulting value can be designated as X1, then the bowl is placed in water. At the same time, in accordance with the law of Archimedes, the cargo will lose part of its weight. At the same time, the rocker of the scales will be done. To achieve equilibrium on another cup, add cargo. Its value can be denoted as X2. As a result of these manipulations, the HC will be obtained, which will be expressed as the ratio of X1 and X2. In addition to the substance in the solid state of the specific one can be measured for liquids, gases. At the same time, measurements can be performed under different conditions, for example, at elevated ambient temperature or reduced temperature. In order to obtain the search data, such devices are used as a pycnetter or an areaometer.

Swelling Units

In the world, several systems of measures and scales are used, in particular, in the SC system, they are measured in relation to H (Newton) to the cubic meter. In other systems, for example, the SGS of the specific gravity uses such a unit of measuring d (dyn) to a centimeter cubic.

Metals with the largest and smallest weight

In addition to the fact that the concept of specific gravity used in mathematics and physics, there are quite interesting facts, for example, specific scales of metals from the Mendeleev table. If we talk about non-ferrous metals, then gold and platinum can be attributed to the most "heavy".

These materials are exceeded by specific gravity, metals such as silver, lead and many others. To the "light" materials include magnesiums with weight lower than Vanadium. You can not forget the radioactive materials, for example, the weight of uranium is 19.05 grams per cubic see, that is, 1 cubic meter weighs 19 tons.

Specific weight of other materials

Our world is difficult to imagine without a variety of materials used in production and everyday life. For example, without iron and its compounds (steel alloys). HC of these materials ranges in the range of one - two units and this is not the highest results. Aluminum, for example, has low density and low specific weight. These indicators allowed it to be used in aviation and space industry.

Copper and its alloys, have a specific weight comparable to lead. But its compounds are brass, bronze is lighter than other materials, due to the fact that substances are used with less specific weight.

How to calculate the proportion of metals

How to determine HC - this question often rises from experts employed in heavy industry. This procedure is necessary in order to determine exactly those materials that will differ from each other improved characteristics.

One of the key features of metal alloys is which metal is the basis of the alloy. That is, iron, magnesium or brass, having one volume will have a different mass.

The density of the material that is calculated on the basis of a given formula is directly related to the question under consideration. As already noted, HC is the ratio of body weight to its volume, it must be remembered that this value can be defined as the force of gravity and the volume of a certain substance.


For Metals, HC and density are determined in the same proportion. It is permissible to use another formula that allows you to calculate uv. It looks as follows so HC (density) is equal to the ratio of weight and mass, taking into account G, permanent value. It can be said that the metal can be called the weight of the volume unit. In order to determine the HC, it is necessary to share a mass of dry material to its volume. In fact, this formula can be used to obtain metal weight.

By the way, the concept of specific gravity is widely used when creating metal calculators used to calculate the parameters of metallic rolling of different types and destination.

HC metals are measured in conditions of qualified laboratories. In practical form, this term is rarely used. Significantly more often, the concept of light and heavy metals are used, the moles with a small specific weight include metals, respectively, are difficult to include metals with high specific weight.

The difference between weight and mass

To begin with, it is worth discussing the difference that is not at all important in everyday life. But if you solve the physical problems about the movement of bodies in space that is not associated with the surface of the planet Earth, then the differences that we give are very significant. So, we describe what is the difference between weighing and mass.

Weight definition

Weight makes sense only in the gravity field, that is, close to large objects. In other words, if a person is in the zone of attraction of a star, planet, a large satellite or a decent size of an asteroid, then the weight is called the power that the body has an obstacle between it and the source of gravity in the fixed reference system. This value is measured in Newton. Imagine that the star hangs in space, at some distance from it there is a stone slab, and on the stove is an iron ball. With what force he presses on the obstacle, so there will be weight.

As is known, gravity depends on the distance and mass of the attractive object. That is, if the ball lies away from a heavy star or close to a small and relatively light planet, then it will act on the stove equally. But at different distances from the source of gravity, the resistance force of the same object will be different. What does it mean? If a person moves within one city, then nothing. But if we are talking about a climber or submariner, then let him know: deep under the ocean, closer to the kernel, objects are more weight than at sea level, and high in the mountains are smaller. However, within our planet (by the way, it is not the biggest even in the solar system) the difference is not so significant. It becomes noticeable when entering outdoor space, beyond the atmosphere.

Mass determination

Massay is closely related to inertia. If you deepen, it determines which gravitational field creates the body. This physical value is one of the most fundamental characteristics. It depends only on the substance with not relativistic (that is, close to the light) speeds. In contrast to weight, the mass does not depend on the distance to another object, it determines the force of interaction with it.

Also, the mass of the object is invariant to the system in which it is determined. It is measured in such values \u200b\u200bas kilograms, ton, pound (not to be confused with a feet) and even Stone (which means "stone" in English). It all depends on what country a person lives.

Definition of specific weight

Now that the reader figured out this important difference between two similar concepts and does not confuse them among themselves, we will proceed to what the proportion is. This term denotes the ratio of the weight of the substance to its volume. In the universal system SI is denoted as Newton to a cubic meter. Note, the definition refers to a substance that is mentioned either in a purely theoretical (as a rule, a chemical) aspect, or in relation to homogeneous bodies.

In some problems solved in specific areas of physical knowledge, the proportion is considered as the following ratio: how much the substance under study is heavier than the water of four degrees Celsius with equal volumes. As a rule, this approximate and relative value is used in the sciences associated, rather, with biology or geology. This conclusion proceeds from the fact that the specified temperature is average in the ocean on the planet. In a different way, the proportion determined by the second method may be referred to as a relative density.

The difference between specific gravity and density

The ratio that is determined by this value is easy to confuse with density, as this is a mass divided into volume. However, the weight as we have already found out depends on the distance to the source of gravity and its mass, and these concepts are different. In this case, it should be noted that under certain conditions, namely, with a low (non-relativistic) velocity, constant G and small accelerations, the density and proportion can be numerically coincide. This means that counting two quantities, you can get the same value for them. When performing the above conditions, such a coincidence may result in the idea that these two concepts are the same. This delusion is dangerous due to the principal difference between the properties embedded in their foundation.

Measuring specific weight

At home get the specific weight of metals, and other solids, difficult. However, in the simplest laboratory, equipped with weights with deep bowls, let's say, in school, it will not be difficult. The metal object is weighed in normal conditions - that is, simply in the air. This value is registering as x1. Then the bowl in which the subject is immersed in water. At the same time, he loses through the well-known law of Archimedes. The device loses its original position, the rocker is thrown. For balancing is added cargo. His magnitude is denoted by x2.

The specific body weight will be the ratio x1 to x2. In addition to metals, the proportion is measured for substances in various aggregate states, with unequal pressure, temperature, other characteristics. To determine the desired magnitude, weighing methods, a pycnometer, and areometer are used. In each case, such experimental attitudes should be selected, which take into account all factors.

Substances with the greatest and smallest specific weight

In addition to pure mathematical and physical theory, peculiar records are of interest. Here we will try to lead those from the elements of the chemical system that have the greatest and smallest registered specific weight. Among non-ferrous metals are the most "heavy" - noble platinum and gold, followed by tantalum, named after an ancient Greek hero. The first two substances in the proportion almost twice the similar values \u200b\u200bof the following silver, molybdenum and lead. Well, the easiest among noble metals became magnesium, which is almost six times less than a slightly heavier vanadium.

Specific weight values \u200b\u200bof some other substances

The world of modernity would be impossible without iron and its diverse alloys, and their proportion undoubtedly depends on the composition. Its value varies within one or two units, but on average it is not the highest rates among all substances. And what can we say about aluminum? Like the density, the proportion of it is very low - only twice the magnesium. This is a significant advantage for the construction of high-rise buildings, for example, or aircraft, especially in combination with its properties, as durability and hardware.

But copper is distinguished by a very high specific weight, almost on a silver and lead. In this case, its alloys, bronze and brass are slightly easier at the expense of other metals with a smaller value of the discussed value. Very beautiful and incredibly dear diamond has, rather, the low value of the specific gravity is just three times more than magnesium. Silicon and Germany, without which modern miniature gadgets would be impossible, despite the fact that they have similar structures, nevertheless differ. The proportion of the first is almost twice as smaller than the second, although both on this scale are relatively lightweight substances.

    To not get confused, I will form a formula from your task, i.e.

    Need to find a specific weight

    There are two values:

    1 - some indicator

    2 - Common Part

    It is necessary to find it in percent.

    So the formula will be like this:

    Specific weight \u003d Some indicator / general part * 100%

    There is some common part. It takes 100%. It consists of individual components. The proportion of them can be calculated according to the following template (formula):

    Thus, in the numerator there will be part of the whole, and in the denominator itself, and the fraction itself is multiplied by one hundred percent.

    When the specific weight must be remembered by two important rules, otherwise the decision will be incorrect:

    Examples of calculation in a simple and complex structure can be viewed by reference.

    Consider the calculation of the specific gravity in percentage on the example of calculating the specific weight of the average number of employees, for the convenience of writing, this term will determine the abbreviation of the sch.


    The procedure for calculating the SCR is provided for by the Tax Code of the Russian Federation, paragraph 1 of Article 11.

    To calculate the SCM for each individual unit, the head office and the organization in full, it is necessary to calculate the score for each month, then the SCR for the report period.

    The amount of the SCR for each calendar day of the month, divided by the number of days of the month, will equal to the SCR for the month.

    The sum of the SCR for each month of the report period, divided into the number of months of the report period, equals the SCR for the report period.

    In accordance with paragraph 8-1.4, Rosstat's instructions, the SCR is indicated only in full units. For young, newly educated separate divisions, the SCC value for the reporting period may be less than an integer. Therefore, in order not to conflict with the tax authorities, for tax purposes, it was proposed to apply the Mathematical Rules for the calculation of the SCR, less than 0.5, more than 0.5 round up to one.

    The invoice value of a separate unit / head organization, divided by the Account value for the organization as a whole for the report period, will be equal to the specific scope of the SCR of each individual unit and the head organization.

    To begin with, let's understand what the proportion of the component of the substance. This is its attitude to the total mass of the substance multiplied by 100%. Everything is simple. You know how much weighs all the substance (mixture, etc.), you know the weight of a particular ingredient, divide the weight of the ingredient for the total weight, multiply 100% and get the answer. Also, the proportion can also be assessed through specific density.


    To evaluate the importance of a TV or another indicator, you need calculate the proportion of percent. For example, in the budget you need to calculate the proportion of each article to, first of all, to engage in the most important budget items.

    To calculate the proportion of the indicators, you need to divide the sum of each indicator to the total final sum of all the indicators and multiply by 100, that is,: (indicator / sum) x100. We get the weight of each indicator in percent.

    For example: (255/844) x100 \u003d 30.21%, that is, the weight of this indicator is 30.21%.

    The amount of all specific scales in the end should be 100, so you can check correctness of calculating specific weight in percent.

    The proportion is calculated in percent. We find a share of private from the general, which, in turn, is taken for 100%.

    Explain on the example. We have a package / bag with fruit, which weighs 10 kg. There are bananas, oranges and tangerines in the bag. The weight of bananas - 3 kg, the weight of oranges is 5 kg, well, and the weight of tangerines is 2 kg.

    To determine specific gravityFor example, oranges need to take the weight of oranges to divide into the overall weight of fruits and multiply 100%.

    So, 5 kg / 10kg and multiply 100%. We get 50% - this is the proportion of oranges.


    The weight of the weight is considered as a percentage !! Let's say a part of the whole. I will recognize a part divide for a whole number and multiply by 100%.

    Then 10002000 * 100% \u003d 50. And so each share need to count on.

    To calculate the proportion of some indicator as a percentage of the total part, the value of this indicator is directly divided into the value of the total part and multiply the resulting number one hundred percent. So you will get a specific weight in percent.

    The proportion as a physical indicator is calculated by the formula:

    Where P is the weight,

    a v is the volume.

    The specific weight in percent is calculated by the simple ratio of whole specific weights to parts of specific weights. To get the digit in percent, you need to multiply the final result by 100:

Definition of specific weight

The physical value, which is the ratio of the weight of the material to the volume occupied by them, is called HC material.

Materials science of the XXI century far went ahead in and already mastered technologies that were considered fantastics some hundred years ago. This science can offer the modern alloys industry, which differ from each other with high-quality parameters, but also physico-technical properties.


To determine how some alloy can be used for production, it is advisable to determine the HC. All items made with an equal volume, but for their production various types of metals were used, will have a different mass, it is in a clear connection with the volume. That is, the ratio of volume to mass This is a certain constant number characteristic of this alloy.

To calculate the density of the material, a special formula that has a direct connection with HC material is used.

By the way, the HB of iron, the main material for the creation of steel alloys, can be determined by weight 1 cm 3, reflected in grams. Moreover, HC metal, the harder will be the finished product.

Swelling formula

The formula for calculating HC looks like weight ratio to volume. To calculate HC, it is permissible to apply the calculation algorithm that is set out in the school course of physics.
To do this, use the Archimedes Act, or rather the definition of force that is ejecting. That is, the load with some mass and at the same time it holds on the water. In other words, two forces are influenced by him - gravity and archimedes.

The formula for calculating the archimederal force looks like this

where G is HC liquid. After the replacement of the formula, the following form F \u003d y × V acquires, from here we obtain the y \u003d f / v shipment formula.

The difference between weight and mass

What is the difference between weight and mass. In fact, in everyday life, she does not play any role. In fact, in the kitchen, we do not develop between the weight of the chicken and its mass, but meanwhile between these terms there are serious differences.

This difference is clearly visible when solving problems associated with moving bodies in the interstellar space and as having a relationship with our planet, and in these conditions these terms differ significantly from each other.
We can say the following, the term weight matters only in the area of \u200b\u200bgravity, i.e. If a certain object is located next to the planet, the star, etc. Weight can be called force with which the body presses on the obstacle between it and the source of attraction. This force is measured in Newton. As an example, it is possible to submit the following picture - next to the paid formation is the stove, with a certain object located on its surface. The force with which the subject presses on the surface of the plate and will be weighing.

The body weight is directly related to inertia. If we consider this concept in detail, it can be said that the mass determines the size of the gravitational field created by the body. In fact, this is one of the key characteristics of the universe. The key difference between weight and mass is as follows - the mass does not depend on the distance between the object and the source of the gravitational force.

Multi-kilograms, pound, etc., are used to measure the mass, pound, etc. There is an international system of SI, in which we use the usual, kilograms, grams, etc., but besides it, in many countries, for example, the British Islands, there is its own system of measures and scales, Where weight is measured in pounds.

Wu - what is it?

The proportion is the ratio of the weight of matter to its volume. In the international measurement system, it is measured as Newton on a cubic meter. To solve certain problems in physics, the HC is determined as follows - how much the substance is heavier than water at a temperature of 4 degrees, provided that the substance and water have equal volumes.

For the most part, such a definition is used in geological and biological research. Sometimes, the HC, calculated by this technique, is called relative density.

What is the difference

As already noted, these two terms are often confused, but since weight is directly dependent on the distance between the object and the gravitational source, and the mass does not depend on this, so the terms of the HC and the density differ in each other.
But it is necessary to take into account the fact that under some conditions mass and weight may coincide. It is almost impossible to measure WC at home. But even at the school laboratory level, such an operation is quite easy to perform. The main thing that the laboratory would be equipped with weights with deep bowls.


The subject must weigh under normal conditions. The resulting value can be designated as X1, then the bowl is placed in water. At the same time, in accordance with the law of Archimedes, the cargo will lose part of its weight. At the same time, the rocker of the scales will be done. To achieve equilibrium on another cup, add cargo. Its value can be denoted as X2. As a result of these manipulations, the HC will be obtained, which will be expressed as the ratio of X1 and X2. In addition to the substance in the solid state of the specific one can be measured for liquids, gases. At the same time, measurements can be performed under different conditions, for example, at elevated ambient temperature or reduced temperature. In order to obtain the search data, such devices are used as a pycnetter or an areaometer.

Swelling Units

In the world, several systems of measures and scales are used, in particular, in the SC system, they are measured in relation to H (Newton) to the cubic meter. In other systems, for example, the SGS of the specific gravity uses such a unit of measuring d (dyn) to a centimeter cubic.

Metals with the largest and smallest weight

In addition to the fact that the concept of specific gravity used in mathematics and physics, there are quite interesting facts, for example, specific scales of metals from the Mendeleev table. If we talk about non-ferrous metals, then gold and platinum can be attributed to the most "heavy".

These materials are exceeded by specific gravity, metals such as silver, lead and many others. To the "light" materials include magnesiums with weight lower than Vanadium. You can not forget the radioactive materials, for example, the weight of uranium is 19.05 grams per cubic see, that is, 1 cubic meter weighs 19 tons.

Specific weight of other materials

Our world is difficult to imagine without a variety of materials used in production and everyday life. For example, without iron and its compounds (steel alloys). HC of these materials ranges in the range of one - two units and this is not the highest results. Aluminum, for example, has low density and low specific weight. These indicators allowed it to be used in aviation and space industry.

Copper and its alloys, have a specific weight comparable to lead. But its compounds are brass, bronze is lighter than other materials, due to the fact that substances are used with less specific weight.

How to calculate the proportion of metals

How to determine HC - this question often rises from experts employed in heavy industry. This procedure is necessary in order to determine exactly those materials that will differ from each other improved characteristics.

One of the key features of metal alloys is which metal is the basis of the alloy. That is, iron, magnesium or brass, having one volume will have a different mass.

The density of the material that is calculated on the basis of a given formula is directly related to the question under consideration. As already noted, HC is the ratio of body weight to its volume, it must be remembered that this value can be defined as the force of gravity and the volume of a certain substance.


For Metals, HC and density are determined in the same proportion. It is permissible to use another formula that allows you to calculate uv. It looks as follows so HC (density) is equal to the ratio of weight and mass, taking into account G, permanent value. It can be said that the metal can be called the weight of the volume unit. In order to determine the HC, it is necessary to share a mass of dry material to its volume. In fact, this formula can be used to obtain metal weight.

By the way, the concept of specific gravity is widely used when creating metal calculators used to calculate the parameters of metallic rolling of different types and destination.

HC metals are measured in conditions of qualified laboratories. In practical form, this term is rarely used. Significantly more often, the concept of light and heavy metals are used, the moles with a small specific weight include metals, respectively, are difficult to include metals with high specific weight.

The difference between weight and mass

To begin with, it is worth discussing the difference that is not at all important in everyday life. But if you solve the physical problems about the movement of bodies in space that is not associated with the surface of the planet Earth, then the differences that we give are very significant. So, we describe what is the difference between weighing and mass.

Weight definition

Weight makes sense only in the gravity field, that is, close to large objects. In other words, if a person is in the zone of attraction of a star, planet, a large satellite or a decent size of an asteroid, then the weight is called the power that the body has an obstacle between it and the source of gravity in the fixed reference system. This value is measured in Newton. Imagine that the star hangs in space, at some distance from it there is a stone slab, and on the stove is an iron ball. With what force he presses on the obstacle, so there will be weight.

As is known, gravity depends on the distance and mass of the attractive object. That is, if the ball lies away from a heavy star or close to a small and relatively light planet, then it will act on the stove equally. But at different distances from the source of gravity, the resistance force of the same object will be different. What does it mean? If a person moves within one city, then nothing. But if we are talking about a climber or submariner, then let him know: deep under the ocean, closer to the kernel, objects are more weight than at sea level, and high in the mountains are smaller. However, within our planet (by the way, it is not the biggest even in the solar system) the difference is not so significant. It becomes noticeable when entering outdoor space, beyond the atmosphere.

Mass determination

Massay is closely related to inertia. If you deepen, it determines which gravitational field creates the body. This physical value is one of the most fundamental characteristics. It depends only on the substance with not relativistic (that is, close to the light) speeds. In contrast to weight, the mass does not depend on the distance to another object, it determines the force of interaction with it.

Also, the mass of the object is invariant to the system in which it is determined. It is measured in such values \u200b\u200bas kilograms, ton, pound (not to be confused with a feet) and even Stone (which means "stone" in English). It all depends on what country a person lives.

Definition of specific weight

Now that the reader figured out this important difference between two similar concepts and does not confuse them among themselves, we will proceed to what the proportion is. This term denotes the ratio of the weight of the substance to its volume. In the universal system SI is denoted as Newton to a cubic meter. Note, the definition refers to a substance that is mentioned either in a purely theoretical (as a rule, a chemical) aspect, or in relation to homogeneous bodies.

In some problems solved in specific areas of physical knowledge, the proportion is considered as the following ratio: how much the substance under study is heavier than the water of four degrees Celsius with equal volumes. As a rule, this approximate and relative value is used in the sciences associated, rather, with biology or geology. This conclusion proceeds from the fact that the specified temperature is average in the ocean on the planet. In a different way, the proportion determined by the second method may be referred to as a relative density.

The difference between specific gravity and density

The ratio that is determined by this value is easy to confuse with density, as this is a mass divided into volume. However, the weight as we have already found out depends on the distance to the source of gravity and its mass, and these concepts are different. In this case, it should be noted that under certain conditions, namely, with a low (non-relativistic) velocity, constant G and small accelerations, the density and proportion can be numerically coincide. This means that counting two quantities, you can get the same value for them. When performing the above conditions, such a coincidence may result in the idea that these two concepts are the same. This delusion is dangerous due to the principal difference between the properties embedded in their foundation.

Measuring specific weight

At home get the specific weight of metals, and other solids, difficult. However, in the simplest laboratory, equipped with weights with deep bowls, let's say, in school, it will not be difficult. The metal object is weighed in normal conditions - that is, simply in the air. This value is registering as x1. Then the bowl in which the subject is immersed in water. At the same time, he loses through the well-known law of Archimedes. The device loses its original position, the rocker is thrown. For balancing is added cargo. His magnitude is denoted by x2.

The specific body weight will be the ratio x1 to x2. In addition to metals, the proportion is measured for substances in various aggregate states, with unequal pressure, temperature, other characteristics. To determine the desired magnitude, weighing methods, a pycnometer, and areometer are used. In each case, such experimental attitudes should be selected, which take into account all factors.

Substances with the greatest and smallest specific weight

In addition to pure mathematical and physical theory, peculiar records are of interest. Here we will try to lead those from the elements of the chemical system that have the greatest and smallest registered specific weight. Among non-ferrous metals are the most "heavy" - noble platinum and gold, followed by tantalum, named after an ancient Greek hero. The first two substances in the proportion almost twice the similar values \u200b\u200bof the following silver, molybdenum and lead. Well, the easiest among noble metals became magnesium, which is almost six times less than a slightly heavier vanadium.

Specific weight values \u200b\u200bof some other substances

The world of modernity would be impossible without iron and its diverse alloys, and their proportion undoubtedly depends on the composition. Its value varies within one or two units, but on average it is not the highest rates among all substances. And what can we say about aluminum? Like the density, the proportion of it is very low - only twice the magnesium. This is a significant advantage for the construction of high-rise buildings, for example, or aircraft, especially in combination with its properties, as durability and hardware.

But copper is distinguished by a very high specific weight, almost on a silver and lead. In this case, its alloys, bronze and brass are slightly easier at the expense of other metals with a smaller value of the discussed value. Very beautiful and incredibly dear diamond has, rather, the low value of the specific gravity is just three times more than magnesium. Silicon and Germany, without which modern miniature gadgets would be impossible, despite the fact that they have similar structures, nevertheless differ. The proportion of the first is almost twice as smaller than the second, although both on this scale are relatively lightweight substances.

The proportion and its calculation is one of the most common indicators. Its calculation is applied in statistics, the economy of the organization, the analysis of financial economic activities, economic analysis, sociology and many other disciplines. In addition, the indicator of the proportion is used when writing analytical heads of course and diploma work.

Initially, the proportion is one of the ways of statistical analysis, and rather even one of the varieties of relative values.

The relative magnitude of the structure is a specific weight. Sometimes the proportion is called the fraction of the phenomenon, i.e. This is the proportion of the element in the total total of aggregate. The calculation of the share of the element or specific weight (someone like it) is carried out most often in percent.

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Share calculation formula

By itself, the formula can be represented in various interpretations, but the meaning of its one and the principle of calculation too.

Two important rules:

- The structure of the phenomenon should always be 100% nor larger, no less, if it did not succeed in addition, it is additionally rounding, and the calculations themselves are best carried out with hundredths.

- It is not so important the structure of what you expect - the structure of assets, the share of income or expenses, the proportion of personnel by age, sex, experience, education, the specific weight of the production, the structure of the population, the share of costs in the cost of the cost - the meaning of the calculation will be the same We divide the part to the general total multiplied by 100 and we get a specific weight. Do not be afraid of different words in the text of the task, the calculation principle is always the same.

Example of calculating specific gravity

We check the amount of the share σd \u003d 15.56 + 32.22 + 45.56 + 6.67 \u003d 100.01%, with this calculation there is a deviation from 100%, then it is necessary to remove 0.01%. We will remove it from the group 50 and older, the adjusted share of this group will be 6.66%.

We entered the received data in the final calculation table


All direct tasks for determining specific gravity have this principle of calculation.

Sophisticated structure - there are situations where the complex structure is presented in the source data, several groups were carried out in the phenomenon. The object is divided into groups, and each group in turn is not yet subgroups.

In such a situation there are two ways to calculate:

- either we calculate all groups and subgroups according to a simple scheme, divide each number to the final one;

- either groups we consider from the general one, and the subgroups from the magnitude of this group.

Use a simple calculation of the structure. Each group and subgroup will divide the total population. In this way of calculation, we learn the share of each group and the subgroup in the total population. When checking, it will be necessary to add only groups - in this example, urban and rural population in a total number, otherwise, if you add all the data, the sum of the share will be 200%, a double account will appear.

We introduce the calculation data to the table

Calculate the share of each group in the total population and the share of each subgroup in the group. The share of urban and rural population in the total population will remain as much as per 65.33% and 34.67%.

But the calculation of the shares of men and women will change. Now we will need to calculate the share of men and women in relation to the number of urban population or rural population.

That's all right. Nothing complicated and difficult.

Successes to everyone in the calculations!

If something in the article is incomprehensible to ask questions in the comments.

And if someone suddenly someone is difficult yet, the tasks are given, contact the group will help!