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QAIPMT-2004-Ph-2646: NEET 2004 Physics - Class 11 AIPMT-2004-Ph-2646 Solution: A wheel having moment of inertia \(2\ {kg m}^2\) about its…

A wheel having moment of inertia 2 kg m22\ \text{kg m}^2 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

Multiple Choice Options

  • A 2π15\frac{2\pi}{15} N m
  • B π12\frac{\pi}{12} N m
  • C π15\frac{\pi}{15} N m
  • D π18\frac{\pi}{18} N m

Step-by-Step Verified Solution

_ f = _ i _ _ t _ 0 = _ i _ _ t _ _ = _ i t where _ is retardation. The torque on the wheel is given by _ = I _ = I _ t = I .2 � _ t = 2 _ 2 _ � _ 60 60 _ 60 _ = � 15 N m This is the torque required to stop the wheel in 1 min. (or 60 sec.).

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