Aspinning wheel on a fireworks display is initially rotating in a counterclockwise direction. the wheel has an angular acceleration of -7.80 rad/s2. because of this acceleration, the angular velocity of the wheel changes from its initial value to a final value of -22.4 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.

5.74s

Explanation:

We can first solve for the initial angular velocity using the following formula

Where is the final angular velocity, is the angular acceleration and is the angular displacement

So for the wheel to get from 22.4 to -22.4 with angular acceleration of -7.8 then the time it takes must be

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.