Equal torsional torques act on two rods x and y having equal length. The diameter of rod y is twice the diameter of rod x. If θx and θy are the angle of twist, then θxθy=
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Solution
Torsional torque for rod x is τx=πηr4xθx2l for rod y is τy=πηr4y2lθy Given dy=2dx⇒ryrx=2 Also τx=τy⇒r4xθx=r4yθy ∴θy=(rxry)4θx=(12)4θx=116θx θy=116θx θxθy=16