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NTA Abhyas JEE Main2020PhysicsLaws of MotionPractice

A particle is rotating about a vertical axis in the horizontal plane such that the angular velocity of the particle about the axis is constant and is equal to 1 rad/s. Distance of the particle from axis is given by R = R 0 - β t where t stands for time. The speed of the particle as a function of time is

Options

  1. Aβ 2 + 1
  2. BR 0 - β t
  3. Cβ 2 + R 0 - β t 2
  4. Dβ

Correct answer

C. β 2 + R 0 - β t 2

Step-by-step solution

V r a d i a l = d R d t = - β V t a n g e n t i a l = ω R = ω R 0 - β t V = V r 2 + V t 2 = β 2 + R 0 - β t 2

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