Consult Multiple-Concept Example 4 for insight into solving this problem. A copp

Question

Consult Multiple-Concept Example 4 for insight into solving this problem. A copper rod is fastened securely at both ends to immovable supports. When this rod is stretched it will rupture when a tensile stress of 2.08 x 10 N/m2 is applied at each end. The rod just fits between the supports, so initially there is no stress applied to the rod. The rod is then cooled. What is the magnitude IATI of the change in temperature of the rod when it ruptures? Number Units The number of significant digits is set to 2;

Explanation / Answer

According to the concept of the thermal properties of matter

Tensile stress=YT

Given that

Tensile stress =2.08*10^7 N/m^2

Young's modulus of copper Y=1.1*10^11 N/m^2

Coefficient of linear expansion =1.7*10^-5 /k

Now we find the change in the temperature

2.08*10^7=1.1*1.7*10^11*10^-5*T

T=1.1123*10^-1K

Therefore the change in the temperature =0.11123 K

temperature T=0.11123-273=-272.9 C=-2.7*10^2 C

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