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Question

A force F=10 N is acting on pulley of mass M=2 kg and radius R=1 m as shown in the figure. If pulley is rotating with constant angular velocity ω=4 rad/s. Find the power delivered by the force F to the pulley.


A
20 J/s
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B
10 J/s
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C
30 J/s
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D
40 J/s
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Solution

The correct option is D 40 J/s

As we know that torque about COM of pulley due to force F is given by,
τ=R×F=(1×10)=10 N-m

Power delivered by torque τ is given by
P=τω=(10×4) J/s=40 J/s

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