View Full Version : Calculating Young's Modulus
 
 Ldobry7554
May 25, 2010, 02:08 PM
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
May 26, 2010, 06:52 AM
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 =  \delta/ L, where  \delta  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.