Steel wire of radius 2 mm is cooled from 28° C to 0° C. How much tension would you have to apply to the wire t?
Steel wire of radius 2 mm is cooled from 28° C to 0° C. How much tension would you have to apply to the wire to stretch it back to its original length? Young's modulus for steel is 2.0 1011 N/m2, and the linear coefficient of thermal expansion is 1.2 10-5 C−1.
Update:That fist answer isn't correct. We need to consider the wire radius. Sorry!
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per C 1.2+10^-5
for 28 °C --> 28* 1.2*10°-5
This is our strain.. we need to find the stress?
Stress/strain = 2.0*10^11
stress= 2 X 10^11 X 28 X 1.2 X 10^-5
= 57,2 X 10^6 N/m^2