The angular position of a point on the rim of a rotating wheel is given by ? = 7.68t - 5.13t2 + 1.73t3, where ? is in radians and t is in seconds. What are the angular velocities at
(a) t = 3.71 s and
(b) t = 8.07 s?
(c) What is the average angular acceleration for the time interval that begins at t = 3.71 s and ends at t = 8.07 s? What are the instantaneous angular accelerations at
(d) the beginning and
(e) the end of this time interval?