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Q.

A disc rotating with an angular velocity ω0 . A constant retarding torque is applied on it to stop the disc. The angular velocity becomes ω0/ 2 after n rotations. How many more rotations will it make before coming to rest?

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a

n

b

n/3

c

n/2

d

2n

answer is D.

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Detailed Solution

Retarding torque is constant, therefore retardation α will also be constant.

ω2=ωo2-2αθ

 ωo22=ωo2-2αθ______(1) and 0=ωo22-2αθ2______(2)

solving equation 1 and 2

θ2=θ13

Thus disk will make n/3 more rotation before coming to rest.

Hence the correct answer is n3.

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A disc rotating with an angular velocity ω0 . A constant retarding torque is applied on it to stop the disc. The angular velocity becomes ω0/ 2 after n rotations. How many more rotations will it make before coming to rest?