Physics

The angular velocity of a wheel is given by w = 3t^2 + 7t.

a. What is the wheel’s initial angular velocity at t = 0?
I think this should be zero but that seems too simple?

b. What is the instantaneous angular acceleration (α) at t = 2 sec?
Do I need to take the derivative of this as a function (6t + 7) and substitute 2 for t to get instantaneous acceleration?


c. What is the wheel’s angular displacement from t = 1 sec to t = 3 sec?
I need to know w to solve for angular displacement...what should w be? I thought it was zero but that doesn't seem right

Am I on the right track here?

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  1. a, yes simple
    b. yes correct.
    c. Just integrate displacement from t=1 to 3
    displacement= INT w(t) dt over limits. w(t)= 3t^2 + 7t.

  2. Thank you!

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