(a) The problem tells us that if we take the angular velocities as positive, then we have α = −2.0 rad s2 . Then if the initial angular velocity is ω0 = 220 rad/* and it comes to rest (ω = 0) as it turns through an angle θ, the relation between these quantities is given by
(b) To find the time it takes the flywheel to come to rest, use