After 10.0 s, a spinning roulette wheel at a casino has slowed down to an angular velocity of +1.74 rad/s. During this time, the wheel has an angular acceleration of -5.1 rad/s2. Determine the angular displacement of the wheel.

Answer 1

The initial angular velocity was higher by 5.1*10 = 51 rad/s, so it was 51.74 rad/s. The average angular velocity was
(51.74 + 1.74)/2 = 26.74 rad/s.

Multiply that by 10 s for the angualr displacement in radians.