Question:

A wheel of mass $ 10\,kg $ has a moment of inertia of $ 160\,kg-m^2 $ about its own axis, the radius of gyration will be

Updated On: Jul 27, 2022
  • 10 m
  • 8 m
  • 6 m
  • 4 m
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The Correct Option is D

Solution and Explanation

Here : Mass of wheel $M=10\, kg$ Moment of inertia $=160\, kg\, m ^{2}$ (where $K$ is radius of gyration) Using relation, $I=M K^{2}$ $160=10 \times K^{2}$ or $K^{2}=16$ or $K=4\, m$
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Concepts Used:

System of Particles and Rotational Motion

  1. The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
  2. The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
  3. The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.