(See Solution) The angular displacement, θ radians, of the spoke of a wheel is given by the expression θ =0.5t^4-t^3, where it is time in seconds.


Question: The angular displacement, \(\theta \) radians, of the spoke of a wheel is given by the expression \(\theta =0.5{{t}^{4}}-{{t}^{3}}\), where it is time in seconds. Find:

  1. The angular velocity after 2 seconds.
  2. The angular acceleration after 3 seconds.
  3. The time when the angular acceleration is zero.

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