Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_9

5/9 The angular acceleration of a body which is rotating about a fixed axis is given by \(\alpha = -k\omega^2\), where the constant \(k = 0.1\) (no units). Determine the angular displacement and time elapsed when the angular velocity has been reduced to one-third its initial value \(\omega_0 = 12\) rad/s.