Question : A 60 mm diameter shaft running in a bearing carries a load o...

A 60 mm diameter shaft running in a bearing carries a load of 2000 N. If the coefficient of friction between the shaft and bearing is 0.03, find the power transmitted when it runs at 1440 r.p.m.

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Given :      d = 60 mm or r = 30 mm = 0.03 m ; W = 2000 N ; \mu =0.03 ;N = 1440 r.p.m. or \omega =2\pi \times 1440/60 = 150.8 rad/s

We know that torque transmitted,

T=\mu \cdot W\cdot r= 0.03 × 2000 × 0.03 = 1.8 N-m

\therefore         Power transmitted,          P = T.\omega = 1.8 × 150.8 = 271.4 W