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Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round is 14 feet an
Question
Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round is 14 feet and it takes 6 seconds for it
to make a complete revolution? Round the solutions to two decimal places.
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Mathematics
3 years
2021-09-05T12:31:19+00:00
2021-09-05T12:31:19+00:00 1 Answers
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Answers ( )
Step-by-step explanation:
Given that,
The diameter of the merry-go-round, d = 14 feet
Time taken, t = 6 seconds
Radius, r = 7 feet
The linear speed of the merry-go-round is given by :
Also,
Where
So,
Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.