GATE ME 2020 Set 1 — Question 47
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Machine Design → Machine Elements → Brakes, Clutches & Springs
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Question
In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters and , respectively. An axial force is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force when the clutch wears out. If contact pressure remains uniform during operation of a new clutch, and the coefficient of friction does not change, then the ratio is ________ (round off to 2 decimal places).
Correct answer
0.85 to 0.89
Solution
For a new clutch (Uniform Pressure Theory), the torque is given by . For a worn-out clutch (Uniform Wear Theory), the torque is . Equating the torques: . The ratio . Given and . Substituting these values: .
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