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Question

A ceiling fan is rotating with an angular velocity of 10 rad/s. It takes 40 s to stop when it is switched off. The average angular velocity during this interval is (assume uniform angular retardation)

A
5 rad/s
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B
4 rad/s
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C
2 rad/s
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D
5 rad/s
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Solution

The correct option is A 5 rad/s
Given initial angular velocity ω0=10 rad/s
Final angular velocity ω=0

Since angular retardation is constant.
Average angular velocity is given by
ωavg=ω0+ω2
=10+02=5 rad/s

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