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NEET 2004 (AIPMT) · Rotational Kinematics & Dynamics

Rotational Kinematics & Dynamics question from NEET 2004 (AIPMT)

Q81NEET 2004 · AIPMTEasy

Rotational Kinematics & Dynamics

A wheel having moment of inertia 2 kg m2 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

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Answer: (c)

  1. ω0=60\omega_0 = 60 rpm =1= 1 rev/s =2π= 2\pi rad/s; stops in t=60t = 60 s
  2. α=2π60=π30\alpha = \frac{2\pi}{60} = \frac{\pi}{30} rad/s2^2
  3. τ=Iα=2×π30=π15\tau = I\alpha = 2 \times \frac{\pi}{30} = \frac{\pi}{15} N m
  4. So the answer is (c) π15\frac{\pi}{15} N m.
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