Question: The angle through which a rotating wheel has turned in time t is given by theta(t)= 8.5t-15t^2+1/6t^4, where 0 is in radians and t in

 The angle through which a rotating wheel has turned in time t is given by theta(t)= 8.5t-15t^2+1/6t^4, where 0 is in radians and t in seconds.

Determine an expression:

 (a) for the instantaneous angular velocity w and 

(b) for the instantaneous angular acceleration a. 

(c) Evaluate w and a at t = 3.0 s. 

(d) What is the average angular velocity, and 

(e) the average angular acceleration between t = 2.0s and t = 3.0 s?

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