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Question

A fan is rotating with angular velocity 100rev/sec. Then it is switched off. It takes 5 minutes to stop. Find the value of angular retardation.

A
13rev/sec2
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B
12rev/sec2
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C
23rev/sec2
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D
16rev/sec2
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Solution

The correct option is A 13rev/sec2
Answer is A.
In this case, the initial angular velocity of the fan is ω0=0 and the final angular velocity of the fan is ω=100rev/sec.
The value of angular retardation is calculated as follows.
ω=ω0+αt0=100α(5×60)α=13revsec2.
Hence, the value of angular retardation is 13revsec2.

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