After 10.0 s, a spinning roulette wheel at a casino has slowed downto an angular

Question

After 10.0 s, a spinning roulette wheel at a casino has slowed downto an angular velocity of +2.00 rad/s. During this time, the wheel has an angularacceleration of -5.15 rad/s2.Determine the angular displacement of the wheel.
1 rad

At the local swimming hole, a favorite trick is to run horizontallyoff a cliff that is 8.9 m above the water.One diver runs off the edge of the cliff, tucks into a "ball," androtates on the way down with an average angular speed of1.4 rev/s. Ignore air resistance anddetermine the number of revolutions she makes while on the waydown.
1 rev

At the local swimming hole, a favorite trick is to run horizontallyoff a cliff that is 8.9 m above the water.One diver runs off the edge of the cliff, tucks into a "ball," androtates on the way down with an average angular speed of1.4 rev/s. Ignore air resistance anddetermine the number of revolutions she makes while on the waydown.
1 rev

Explanation / Answer

2.   Time to hit water:    t = 2h/g = 2*8.9/9.8  =    1.3477 sec . number of revolutions = 1.4 revs / sec * 1.3477 sec =     1.89 revolutions

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