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## The horse on a carousel is 3.5m from the central axis.A. If the carousel rotates at 0.13 rev/s , how long does it take the horse to go aroun

Question

The horse on a carousel is 3.5m from the central axis.A. If the carousel rotates at 0.13 rev/s , how long does it take the horse to go around twice?B. How fast is a child on the horse going (in m/s)?

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Physics
3 years
2021-08-18T22:50:44+00:00
2021-08-18T22:50:44+00:00 1 Answers
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## Answers ( )

Answer:a. 15.4 seconds

b. 0.455 m/s

Explanation:a. The carousel rotates at 0.13 rev/s.

This means that it takes the carousel 1 sec to make 0.13 of an entire revolution.

This means

that time it will take to make a complete revolutionis:1 / 0.13 = 7.7 seconds

Therefore, the time it will take to make 2 revolutions is:

2 * 7.7 = 15.4 seconds

b. Let us calculate the linear velocity. Angular velocity is given as:

where v = linear velocity and r = radius

The radius of the circle is 3.5 m and the angular velocity is 0.13 rev/s,therefore:0.13 = v / 3.5

v = 3.5 * 0.13 = 0.455 m/s

Linear velocity is 0.455 m/s