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COMEDK · Physics · 8. Rotational Motion

A singer, during his performance, stands on the edge of a circular turntable, and begins to walk along its edge with a speed of \(1.5\ ms^{-1}\) relative to the ground. The turn table is mounted on a frictionless vertical axle. Its radius R = 3m and its moment of inertia about the axle is 150 kg m². It is initially at rest. If the mass of the singer is 75kg, the time taken by the man to complete one revolution is:

  1. A \(20.5\)s
  2. B \(8.56\)s
  3. C \(6.28\)s
  4. D \(12.57\)s
Verified Solution

Answer & Solution

Correct Answer

(D) \(12.57\)s

Step-by-step Solution

Detailed explanation

Given: Speed of the singer relative to the ground, \(v = 1.5\text{ m s}^{-1}\) Radius of the circular turntable, \(R = 3\text{ m}\) The problem asks for the time taken by the singer to complete one revolution. Since the speed of the singer is given relative to the ground, the…