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# A playground merry-go-round has a mass of 120 kg and a ISBN: 9780130606204 3

## Solution for problem 39PE Chapter 10

Physics: Principles with Applications | 6th Edition

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Problem 39PE

A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an angular velocity of 0.500 rev/s. What is its angular velocity after a 22.0-kg child gets onto it by grabbing its outer edge? The child is initially at rest.

Step-by-Step Solution:

Step-by-step solution Step 1 of 3 The conservation of angular momentum can be applied, as no external torque is acted upon the merry-go-round. So, initial angular momentum is equal to final angular momentum of the system. Here, is the moment of inertia of the merry-go-round, is the angular velocity of the merry-go-round, is the moment of inertia of the system with the kid at the edge of the merry-go-round and is the required angular velocity. Step 2 of 3 Convert initial angular speed in rad/s. The moment of inertia of merry-go-round is, The moment of inertia of the system is calculated as, Here, is the moment of inertia of the merry-go-round considered as a uniform disc and is the moment of inertia of the kid, at the edge, considered as a point load. Here, is the mass of the merry-go-round, is the radius of the disc and is the mass of the kid.

Step 3 of 3

##### ISBN: 9780130606204

This full solution covers the following key subjects: angular, Child, its, velocity, grabbing. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. Since the solution to 39PE from 10 chapter was answered, more than 363 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 39PE from chapter: 10 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. The answer to “A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an angular velocity of 0.500 rev/s. What is its angular velocity after a 22.0-kg child gets onto it by grabbing its outer edge? The child is initially at rest.” is broken down into a number of easy to follow steps, and 49 words.

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