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1 April, 15:00

A tetherball is tied to the end of a string of negligible mass. The ball is struck so that it moves in uniform circular motion in a horizontal plane, and the string makes an angle of 26° with the vertical pole. The mass of the ball is 1.3 kg. What is the ball's speed

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  1. 1 April, 15:06
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    The centripetal force is directed parallel to the string and the weight of the ball is always directed downwards. Making a force balance along the direction of vertical axis:

    Fc cos 26 = W

    where Fc is the centripetal force which is equal to mv2/r

    W is the weight which is equal to mg

    m v2 / r cos 26 = mg

    v2 / r cos 26 = g

    v2 = rg cos 26

    v2 = 2.1 (9.81) cos 26

    v = 4.30 m/s

    The ball's speed is 4.30 m/s.
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Home » Physics » A tetherball is tied to the end of a string of negligible mass. The ball is struck so that it moves in uniform circular motion in a horizontal plane, and the string makes an angle of 26° with the vertical pole. The mass of the ball is 1.3 kg.
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