WHY WE USE d^2/162.2 FOR CALCULATE THE WEIGHT OF 1 M STEEL ROD?

Its is derived from the very basic concept

 i.e., weight = density x volume

it is also can be written as

 weight = density x (area x length)

We know that the density of steel = 7850 kg/m^3 ,

We consider a length= 1 m

area of steel rod = pi x d^2/ 4

therefore, weight = (7850 x (3.14/4) d^2 x 1000) / (10^9)

= d^2 x 0.00616225

=(d^2/1) x (0.00616225/1)

= d^2 / (1/162.2)

=d^2/162.2


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