A copper wire, whose cross-sectional area is 5.22 x 10-6 m2, has a linear densit

Question

A copper wire, whose cross-sectional area is 5.22 x 10-6 m2, has a linear density of 5.86 x 10-3 kg/m and is strung between two walls. At the ambient temperature, a transverse wave travels with a speed of 43.1 m/s on this wire. The coefficient of linear expansion for copper is 17 x 10-6 (Co)-1, and Young's modulus for copper is 1.1 x 1011 N/m2. What will be the speed of the wave when the temperature is lowered by 14.3 desgrees Celsius? Ignore any change in the linear density caused by the change in temperature.

Explanation / Answer

first the tension in the wire will be

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