The angular velocity of a 755 g wheel 15.0 cm in diameter is given by the equation ω(t) = (2.00 rad/s2) t + (1.00 rad/s4) t3.
(a) Through how many radians does the wheel turn during the first 2.00 s of its motion?
(b) What is the angular acceleration (in rad/s2) of the wheel at the end of the first 2.00 s of its motion?