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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 250 mm and 50 mm respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque one needs an axial force F2 when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch and the coefficient of friction does not change, then the ratio F1F2 is (round off to 2 decimal places)
  1. 0.871

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Solution

The correct option is A 0.871
T=μW×Rm

TnewT=μW×Rm

Tnew=μ×W×Rnew

Tnew=μ×Wnew×2(R30R3i)3R20R2i

Told=μ×W×Rold

Tnew=Told

Wnew×2(R30R3i)3R20R2i=Wold×(R0+Ri)2

WnewWold=0.871

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