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Physics / Physics: Principles with Applications 6 / Chapter 8 / Problem 36P

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

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A teenager pushes tangentially on a small hand-driven

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QUESTION:

Problem 36P

A teenager pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to a frequency of 15 rpm in 10.0 s. Assume the merry-go-round is a uniform disk of radius 2.5 m and has a mass of 760 kg, and two children (each with a mass of 25 kg) sit opposite each other on the edge. Calculate the torque required to produce the acceleration, neglecting frictional torque. What force is required at the edge?

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QUESTION:

Problem 36P

A teenager pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to a frequency of 15 rpm in 10.0 s. Assume the merry-go-round is a uniform disk of radius 2.5 m and has a mass of 760 kg, and two children (each with a mass of 25 kg) sit opposite each other on the edge. Calculate the torque required to produce the acceleration, neglecting frictional torque. What force is required at the edge?

ANSWER:

Step 1 of 2

The torque needed is the moment of inertia of the system (merry-go-round and children) times the angular acceleration of the system. Let the subscript represent the merry-go-round.

Change in angular frequency is

The torque is calculated by

Substitute , , ,

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