The flywheel of a prototype car engine is under test. The angular position of the flywheel is given by x = (3.0rad/s3)t3 and the diameter of the flywheel is 36cm.
(a) Find the distance that a particle on the rim moves during that time interval.
(b) Find the angle, in radians and in degree, at times t1 = 3.0s and t2 = 6.0s.
(c) Find the average angular velocity, in rad/s and in rev/min, between t1 = 3s and t2 = 6s.
(d) Find the instantaneous angular velocity at time t1 = 3.0s and t2 = 6.0s.