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Question

# A fan is rotating with angular velocity 100 rev/sec. Then, it is switched off. It takes 5 minutes to stop. Find the average angular velocity during this interval. (correct answer + 1, wrong answer - 0.25)

A
100 rev/sec
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B
75 rev/sec
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C
125 rev/sec
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D
50 rev/sec
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Solution

## The correct option is D 50 rev/secGiven, initial angular velocity, ω0=100 rev/s Final angular velocity, ω=0 rev/s ∴ Total number of revolution made by the fan, θ=(ω+ω02)t =0+1002×5×60=15000 rev ∴ Average angular velocity in this interval =150005×60=50 rev/sec

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