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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RuslanHeatt 3 years 2021-08-18T22:50:44+00:00 1 Answers 107 views 0

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  1. Orla
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    2021-08-18T22:52:17+00:00
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    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 revolution is:

    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:

    \omega = v / r

    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

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