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Q.

A ceiling fan is rotating about its own axis with uniform angular velocity ω  . The electric current is switched off then due to constant opposing torque its angular velocity is reduced to 2ω/3 as it completes 30 rotations. The number of rotations further it makes before coming to rest is

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a

24

b

12

c

18

d

9

answer is D.

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Detailed Solution

ω2−ω02=2αθ

θ=2πN

n=24

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