Aluminum Rod

Aluminum Rod

What is the length of an aluminum rod at 65 degrees C if its length at 15 degrees C is 1.2 meters?

A. 0.001386 meter
B. 0.00180 meter
C. 1.201386 meters
D. 1.214855 meters

C.

[delta]L = L0 x [alpha] x [delta]T

[alpha] is the coeff. of linear expansion (23.6 x 10^6 for Al)

or [delta]L = 1.2 x 23.6 x 10^6 x (65 - 15)

or [delta]L = 1.2 x 23.6 x 10^6 x 50

or [delta]L = 0.001416 m

So, the final length is: 1.2 + 0.001416 = 1.201416 m

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