Question:

A stationary wheel starts rotating about its own axis at an angular acceleration $5.5tad/s^2.$ To acquire an angular velocity 420 revolutions per minute, the number of rotations made by the wheel is

Updated On: Nov 4, 2024
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The Correct Option is C

Solution and Explanation

$Irpm = \frac{\pi}{30} rads^{-1}$ ; $\omega^2 = 2 \alpha \theta$
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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.