A spinning ride at an amusement park starts with its arms extended out so that the riders are at a distance of 2.8 m from its central axis of rotation.
a) If the riders are moving with a linear velocity v = 8.5 m/s, what is their angular velocity Ω?
b) Once its engine gets it up to speed, for the main portion of the ride angular momentum is conserved. If the ride's moment of inertia is initially I = 350 kg·m², what is its initial angular momentum L?