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Question

A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a friction lining with coefficient of friction equal to 0.25. Bore radius of the friction lining is equal to 25 mm. Assume uniform contact pressure of 1 MPa. The value of outside radius of the friction lining is

A
39.4 mm
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B
49.5 mm
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C
97.9 mm
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D
142.9 mm
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Solution

The correct option is A 39.4 mm
According to uniform pressure theory,
P=1 MPa

Power transmitted,

P=Tω=T×2πN60

T=60×5×1032π×2000=23.87 Nm

T=23×μPπ(r31r32)
23.81×103=23×0.25×1×(r31253)×π

r1=39.4 mm

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