A child, hunting for his favorite wooden horse, is running on the ground around the edge of a stationary merry-go-round. The angular speed of the child has a constant value of 0.242 rad/s. At the instant the child spots the horse, one- quarter of a turn away, the merry-go- round begins to move (in the direction the child is running) with a constant angular acceleration of 0.015 rad/s?. What is the shortest time it takes for the child to catch up with the horse?

College Physics
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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A child, hunting for his favorite wooden
horse, is running on the ground around
6.
the edge of a stationary merry-go-round.
The angular speed of the child has a
constant value of 0.242 rad/s. At the
instant the child spots the horse, one-
quarter of a turn away, the merry-go-
round begins to move (in the direction
the child is running) with a constant
angular acceleration of 0.015 rad/s².
What is the shortest time it takes for the
child to catch up with the horse?
Specify your answer in SI units up to two
decimal places. Do not include units.
Transcribed Image Text:A child, hunting for his favorite wooden horse, is running on the ground around 6. the edge of a stationary merry-go-round. The angular speed of the child has a constant value of 0.242 rad/s. At the instant the child spots the horse, one- quarter of a turn away, the merry-go- round begins to move (in the direction the child is running) with a constant angular acceleration of 0.015 rad/s². What is the shortest time it takes for the child to catch up with the horse? Specify your answer in SI units up to two decimal places. Do not include units.
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