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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
4 months
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

is the angular speed

So,

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.