Question:

A wheel having moment of inertia 2 kg–m2 about its vertical axis, rotates at the rate of 60 rpm about the axis. The torque which can stop the wheel's rotation in one minute would be 

Updated On: Oct 9, 2023
  • \(\frac{\pi}{12}\) N-m

  • \(\frac{\pi}{15}\) N-m

  • \(\frac{\pi}{18}\)N-m

  • \(\frac{2\pi}{15}\) N-m

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The Correct Option is B

Solution and Explanation

The torque required to stop the wheel's rotation in one minute is approximately \(\frac{\pi}{15}\) N-m

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Top Questions on System of Particles & Rotational Motion

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Concepts Used:

Rotational Motion

Rotational motion can be defined as the motion of an object around a circular path, in a fixed orbit.

Rotational Motion Examples:

The wheel or rotor of a motor, which appears in rotation motion problems, is a common example of the rotational motion of a rigid body.

Other examples:

  • Moving by Bus
  • Sailing of Boat
  • Dog walking
  • A person shaking the plant.
  • A stone falls straight at the surface of the earth.
  • Movement of a coin over a carrom board 

Types of Motion involving Rotation:

  1. Rotation about a fixed axis (Pure rotation)
  2. Rotation about an axis of rotation (Combined translational and rotational motion)
  3. Rotation about an axis in the rotation (rotating axis)