How to find length through weight

How to find length through weight

Weight is defined by density of material and volume which occupies a physical body in space therefore to manage only one value of weight, alas, it will not turn out. If except it data on material of a spatial object are available, then it is possible to find out the substance density corresponding to it. Then unknown will remain only volume, one of characteristics of which is length. Below several ways definitions of length for spatial figures of the correct form are given provided that the average density of substance is known.

Instruction

1. If a spatial object the Torah (cylinder) has the form, then for determination of its length (L) it is necessary to know the area of the basis. It is possible to calculate it, having data on diameter (d) a Torah. If they are, then use the fact that volume, on the one hand is equal to the relation of weight (m) to density (p), and with another - quarters of the work of number of Pi at length and the squared diameter: m/p=¼*π*d²*L. From this identity follows that height will be equal private from division of quadruple weight into the work of density into Pi's number and a square of diameter: L=m*4 / (p*π*d²).

2. If the spatial figure represents a bar (rectangular parallelepiped) that the area of the basis can be counted, knowing width (w) and height (h) and if section has the square form, then there is enough also one party. In this case volume will be equal to the work of length on width and height and it is possible, as well as on the previous step, to make identity: m/p=w*h*L. Bring out of it value of height - it will be equal private from division of weight into the work of density, width and heights: L=m / (p*w*h).

3. If the volume figure has the form of an equilateral triangle in section, then for calculation of volume measure width of one side (a), that is the party of a triangle of section. The area of such triangle is calculated by multiplication of a quarter of the squared length of the party by a square root from the three, and for scoping it is necessary to increase result by required length (in this case it is more correct to call it height). Again substitute this value in identity: m/p=L*3*a²/4. Bring out of this equality a formula for calculation of length - it will represent a ratio of quadruple weight and the trebled work of density on a square of the party of a triangle: L=4*m / (3*p*a²).

Author: «MirrorInfo» Dream Team


Print