A 20kg child is spinning on a carousel (radius =1.5m) and accelerates to a speed of 2 m/s.  1. What is the angular velocity of the carousel? The child then jumps on 2. What is the force exerted by the child if he is hanging on the bar at the edge of the carousel? 3. Now, the child moves closer inside of the carousel and is 0.5m from the center. What is the new force of the child hanging onto the bar? What is the new force if he is 0.7m from the center? 4. After 2 minutes, the carousel slowed down at about 25%. What is the total angular displacement of the carousel during the 2 minute time (in radians)? 5. Now, the child moves back out to the edge (original position) and steps off, from 8 cm above the ground? What is the speed do they hit the ground with, and in which direction?

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 84P: You have a grindstone (a disk) that is 90.0 kg, has a 0.340-m radius, and is turning at 90.0 rpm,...
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Please do the last three questions so 3, 4, and 5! 

 

A 20kg child is spinning on a carousel (radius =1.5m) and accelerates to a speed of 2 m/s. 

1. What is the angular velocity of the carousel?

The child then jumps on

2. What is the force exerted by the child if he is hanging on the bar at the edge of the carousel?

3. Now, the child moves closer inside of the carousel and is 0.5m from the center. What is the new force of the child hanging onto the bar? What is the new force if he is 0.7m from the center?

4. After 2 minutes, the carousel slowed down at about 25%. What is the total angular displacement of the carousel during the 2 minute time (in radians)?

5. Now, the child moves back out to the edge (original position) and steps off, from 8 cm above the ground? What is the speed do they hit the ground with, and in which direction? 

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