A spinning wheel on a fireworks display is initially rotating in a counterclockw

Question

A spinning wheel on a fireworks display is initially rotating in a counterclockwise direction. The wheel has an angular acceleration of -7.61 rad/s2. Because of this acceleration, the angular velocity of the wheel changes from its initial value to a final value of -25.8 rad/s. While this change occurs, the angular displacement of the wheel is zero. (Note the similarity to that of a ball being thrown vertically upward, coming to a momentary halt, and then falling downward to its initial position.) Find the time required for the change in the angular velocity to occur.

Explanation / Answer

time required = 2 * 25.8 / 7.61 = 6.78s

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