5. A girl with a mass of 35.0 kg rides on a merry-go-round and unlike in many sadistic physics problems, she does not get thrown off. The merry-go-round can be approxi- mated as a disk of radius equal to 2.50 m and a mass of 95.0 kg. With the girl riding on its very edge (i.e., 2.50 m from the center), the angular speed of the merry-go-round is 2.25 radians/s. What will the angular speed be if she moves to the center of the merry-go-round (i.e., her distance from the center will then be zero)? Recall that the moment of inertia of a disk is I = MR².

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 46P: A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is...
Question
5. A girl with a mass of 35.0 kg rides on a merry-go-round and unlike in many sadistic
physics problems, she does not get thrown off. The merry-go-round can be approxi-
mated as a disk of radius equal to 2.50 m and a mass of 95.0 kg. With the girl riding
on its very edge (i.e., 2.50 m from the center), the angular speed of the merry-go-round
is 2.25 radians/s. What will the angular speed be if she moves to the center of the
merry-go-round (i.e., her distance from the center will then be zero)? Recall that the
moment of inertia of a disk is I =
MR².
Transcribed Image Text:5. A girl with a mass of 35.0 kg rides on a merry-go-round and unlike in many sadistic physics problems, she does not get thrown off. The merry-go-round can be approxi- mated as a disk of radius equal to 2.50 m and a mass of 95.0 kg. With the girl riding on its very edge (i.e., 2.50 m from the center), the angular speed of the merry-go-round is 2.25 radians/s. What will the angular speed be if she moves to the center of the merry-go-round (i.e., her distance from the center will then be zero)? Recall that the moment of inertia of a disk is I = MR².
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