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NEET2017PhysicsMotion in Two DimensionsActual

A wheel starts rotating from rest at time t=0 with a angular acceleration of 50 radians / s ^2 . The angular acceleration ( ) decreases to zero value after 5 seconds. During this interval, varies according to the equation = ₀ (1- t 5 ) The angular velocity at t=5 ~s will be

Options

  1. A10 rad / s
  2. B250 rad / s
  3. C125 rad / s
  4. D100 rad / s

Correct answer

C. 125 rad / s

Step-by-step solution

= ₀ (1- t 5 ) At t=0, = ₀ ₀=50 rad / s ^2 d d t = ₀ (1- t 5 ) aligned & ₀^ d = ₀ ₀^5 (1- t 5 ) d t = ₀ [t- t^2 10 ]₀^5 & =50 (5- 25 10 ) rad / s =125 rad / s aligned

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