Question:

A stationary wheel starts rotating about its own axis at uniform angular acceleration $8rad/s^2.$ The time taken by it to complete rotations is

Updated On: Jul 6, 2022
  • 5.5 sec
  • 7sec
  • 11 sec
  • 14 sec
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The Correct Option is C

Solution and Explanation

Given $\omega_1=0$$\alpha=8\,ras\,s^{-2}$$\theta=77(2\pi)=154\pi\,rad$ $t=\sqrt {\frac{2\theta}{\alpha}}$
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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.