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.

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

Solution

## The correct option is D $$50 rev/sec$$Given, Initial angular velocity, $$\omega_0= 100\ rev/s$$Final angular velocity, $$\omega =0 \ rev/s$$$$\therefore$$ Total number of revolution made by fan, $$\theta= \bigg(\dfrac{\omega+\omega_0}{2}\bigg)t=\dfrac{0+100}{2}\times 5\times 60=15000\ rev$$$$\therefore$$ Average angular velocity in this interval,$$=\dfrac{15000}{5\times60}=50\ rev/sec$$Physics

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