In a number of tasks it is necessary to learn in what piece of material of length there is a set weight. In such task, knowing kilograms, it is necessary to find meters. Such translation requires knowledge of linear density or usual density of material.
It is required to you
- linear density or density of material
Instruction
1. Units of mass are transferred to length units by means of the physical quantity called linear density. In the SI system it has dimension of kg/m. This size differs from the usual density which expresses weight in unit of volume. Linear density is applied to characteristic of thickness of threads, a provolok, fabrics and. etc. and also for characteristic of beams, rails and. etc.
2. Follows from determination of linear density that for transfer of weight to length it is necessary to divide weight in kilograms into linear density in kg/m. At the same time you receive length in meters. This length will comprise this weight.
3. In case usual density with dimension of kilograms per cubic meter is known to you, then for calculation of length of material which contains weight, it is necessary to receive at first the material volume comprising this weight. For this purpose it is necessary to divide weight into density. Then the received volume needs to be divided into material cross-sectional area. Thus, the formula for length will look so: l = V/S = (m/p*S) where m is weight, V - the volume comprising the weight, S - the cross-sectional area, p - density.
4. In trivial cases the section of material will have either a round, or rectangular shape. The area of round section will be equal to pi * (R^2) where R is section radius. In case of rectangular section its area will be equal to a*b where an and b - lengths of the parties of section. If section has the non-standard form, then it is necessary to find the area of that geometrical figure in section.