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25 August, 23:58

A merry-go-round at a playground is a circular platform that is mounted parallel to the ground and can rotate about an axis that is perpendicular to the platform at its center. the angular speed of the merry-go-round is constant, and a child at a distance of 1.4 m from the axis has a tangential speed of 2.2 m/s. what is the tangential speed of another child, who is located at a distance of 2.1 m from the axis?

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  1. 26 August, 00:05
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    Since angular speed is persistent, v/r is constant.

    Where:

    v is tangential speed; and

    r is distance from axis.

    Then equate v/r in both cases to get v in the second case.

    Hence, speed = 2.2 x 2.1 / 1.4 meters

    = 3.3 meters / seconds

    Alternative solution would be:

    w = 2.2 / 1.4 = 1.57

    v = rw = 2.1 x 1.57 = 3.3 meters / seconds
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