The angular position of a point on the rim of a rotating wheel is given by %u03B8 = 4.01t - 6.34t2 + 2.63t3, where %u03B8 is in radians and t is in seconds. What are the angular velocities at
(a) t = 3.19 s and
(b) t = 6.06 s?
(c) What is the average angular acceleration for the time interval that begins at t = 3.19 s and ends at t = 6.06 s? What are the instantaneous angular accelerations at
(d) the beginning and
(e) the end of this time interval?