After 6.3 s, a spinning roulette wheel has sped up to a final angular velocity of 47.3 rad/s. During this time, the wheel has an angular acceleration of 1.1 rad/s2. What was the roulette's initial angular velocity?

The uniform slender bar rests on a smooth horizon- tal surface when a force f is applied normal to the bar at point a. point a is observed to have an initial acceleration aa of 20 m/s2, and the bar has a corre- sponding angular acceleration of 18 rad /s2. deter- mine the distance b.