A 50.0-kg child stands at the rim of a merry-go-round ofradius 2.00 m, rotating with an angular speed of 3.00 rad/s.(a) What is the magnitude of the child’s centripetal acceleration?(b) What is the magnitude of the minimum forcebetween her feet and the floor of the carousel that is requiredto keep her in the circular path? (c) What minimum coefficientof static friction is required? Is the answer you foundreasonable? In other words, is she likely to stay on themerry-go-round?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 47P: A man stands on a merry-go-round that is rotating at 2.5 rad/s. If the coefficient of static...
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A 50.0-kg child stands at the rim of a merry-go-round of
radius 2.00 m, rotating with an angular speed of 3.00 rad/s.
(a) What is the magnitude of the child’s centripetal acceleration?
(b) What is the magnitude of the minimum force
between her feet and the floor of the carousel that is required
to keep her in the circular path? (c) What minimum coefficient
of static friction is required? Is the answer you found
reasonable? In other words, is she likely to stay on the
merry-go-round?

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