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8 March, 09:34

A car rounds a 75-m radius curve at a constant speed of 18 m/s. a ball is suspended by a string from the ceiling the car and moves with the car. the angle between the string and the vertical is:

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  1. 8 March, 11:02
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    The angle between the string and the vertical is computed by:

    Centripetal acceleration Ac = V²/R = 18²/75 = 4.32 m/s² horizontal

    Gravitational acceleration g = 9.8 m/s² down

    Θ = arctan (Ac/g)

    = arctan (4.32m/s^2 / 9.8 m/s^2)

    = 23.79° is the answer.
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