[Ldobry7554]

A wire, of length 250 centimeters, and radius 0.3 millimeters is stretched by hanging on a weight of 12 kilograms, and the elongation produced is 8 milimeters. Calculate the value of Young's modulus for the wire.

I've never even heard of Young's modulus and it's not in my physics book. Any help?

[ebaines]

Young's modulus is used in engineering mechanics to define what is essentially a spring constant for a material. It is defined as the ratio of stress to strain when a load is applied to the material. Stress is defined as the force divided by the cross-sectional area. The resulting strain of the material is defined as the ratio of the elongation divided by its original length. Thus:

Stress = F/A, where F is the force applied and A = cross-sectional area.

Strain = / L, where is the amount of elongation and L is the original length.

Young's Modulus = stress/strain

A wire made of a material with a large value for Young's modulus will deform less than if it was made using a material with a low value of Young's modulus.