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The torsion modulus of a spiral spring i...

The torsion modulus of a spiral spring is 2 N·m/rad. The spring is turned 10 times. What is the work done?

Text Solution

Verified by Experts

The correct Answer is:
4 kJ.
The work done in twisting the spring by an angle a is equivalent to the work done in extending it by a length I, which is expressed by the formula `W= 1//2Fx= 1//2kx^2` . Therefore the work sought is
`W=1/2Malpha=1/2//alpha^2`
Note that the torsion modulus `f = M//alpha` is an analogue of the spring constant `k = F//x`
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