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A steel and aluminum wire, each of length L and diameter d, are joined to make...

A steel and aluminum wire, each of length L and diameter d, are joined to make a single wire of length 2L and diameter d. The wire is attached to fixed supports so that it is straight but with negligible tension. After being cooled by a change in T, the aluminum is found to have increased in length by 0.0140% (and the steel decreased in length by the same percentage.) If d = 1.00 mm, find: (a) the difference in temperature change in T and (b) the resulting tension in the wire.

Answers: a) -52.5 degrees C b) 77 N

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