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**The flywheel of a prototype car engine is under test. The angular position θ of the flywheel is given by θ = (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 θ, 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.