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Question: Answered & Verified by Expert
A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?
PhysicsRotational MotionNEETNEET 2017
Options:
  • A 25 m s-2
  • B 0.25 rad s-2
  • C 25 rad s-2
  • D 5 m s-2
Solution:
1984 Upvotes Verified Answer
The correct answer is: 25 rad s-2



The torque about centre is τ=I α, here I is the moment of inertia and α is angular acceleration.

The formula of moment of inertia is MR2.

F×R=MR2α

30×0.4=3×0.42α

12=3×0.16α

400=16α

Thus, angular acceleration is α=25 rad/s2

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