Compute each part of given problem:
Problem: The angular position of a point on the rim of a rotating wheel is given by theta = 2.7t + 4.8t2 + 1.5t3, where theta is in radians if t is given in seconds.
Part I: What is the angular speed at t = 2.0 s?
Part II: What is the angular speed at t = 6.0 s?
Part III: What is the average angular acceleration for the time interval that begins at t = 2.0 s and ends at t = 6.0 s?
Part IV: What is the instantaneous angular acceleration at t = 6.0 s?
I want you to explain the physics in this problem.