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Q. A cylindrical wire is twisted with an angle $\theta$, what is torsion produced in it?

AIIMSAIIMS 2011Mechanical Properties of Solids

Solution:

The torsion produced in wire is directly proportional to the twist
i.e, $\tau \,\propto \, \theta $
or $\tau = C \theta$, where C is restoring couple per unit twist