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14 October, 05:46

Sasha sits on a horse on a carousel 3.5 m from the center of the circle. She makes a revolution once every 8.2 seconds. What is Sasha's tangential speed?

-0.9 m/s

-1.3 m/s

-2.7 m/s

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  1. 14 October, 05:58
    0
    Answer: 2.7 m/s

    Explanation:

    Given the following:

    Period (T) = 8.2 seconds

    Radius = 3.5 m

    The tangential speed is given as:

    V = Radius * ω

    ω = angular speed = (2 * pi) / T

    ω = (2 * 22/7) / 8.2

    ω = 6.2857142 / 8.2

    ω = 0.7665505

    Therefore, tangential speed (V) equals;

    r * ω

    3.5 * 0.7665505 = 2.6829268 m/s

    2.7 m/s
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