There is an animation on a coordinate plane with a brown circle on a merry go ro

Question

There is an animation on a coordinate plane with a brown circle on a merry go round. It includes the merry go round spinning with the brown circle resting on the edge. When I play the animation it shows the time and stop the animation when needed and measure the position of any point on the coordinate plane.

A girl sits on a merry-go-round at the position marked by the brown circle. A boy gives the merry-go-round a constant tangential push for 0.21 seconds as shown in the animation (position is in meters and time is in seconds). What is the magnitude of the angular acceleration of the girl while the boy is pushing the merry-go-round?

Explanation / Answer

If you can, play the animation for times after 0.21s and find out the angular speed once the boy is done pushing the merry go round. If you can stop the animation after the merry go round has gone around exactly once, or after exactly any integer number of times, the angular speed 2Pi (or 360 degrees) times the number of roatations divided by delta time. For example, if you start the animation after .3 seconds and stop it after three rotations and the time when you stopped it is 4.8 seconds, the angular speed would be 3*2Pi/(4.8-0.3)s Once you have the angular velocity, divide it by the time it took to get up to this velocity, 0.21 s. In this example the acceleration would be 6Pi/(3.5s*0.21s)

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