Rotational Motion Question 55

Question: A wheel having moment of inertia 2kgm2 about its vertical axis, rotates at the rate of 60 rpm about this axis. The torque which can stop the wheel’s rotation in one minute would be:

[AIPMT (S) 2004]

Options:

A) 2π15Nm

B) π12Nm

C) π15Nm

D) π18Nm

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Answer:

Correct Answer: C

Solution:

  • Given: I=2kgm2,ω0=6060×2πrad/s, ω=0,t=60s

    The torque required to stop the wheel’s rotation is τ=Iα=I(ω0ωt)

    τ=2×2π×6060×60=π15Nm



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