Question:

For a particle of a purely rotating body, $v=r\omega $ , so correct relation will be

Updated On: Jul 28, 2022
  • $\omega \propto \frac{1}{r}$
  • $\omega \propto v$
  • $v \propto \frac{1}{r}$
  • $\omega $ is independent of $r$
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The Correct Option is D

Solution and Explanation

In case of purely rotating body $\omega $ and $v$ are associated with this relation using $r$ .
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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.