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13 April, 13:34

A gas powered model airplane has a mass of 2.50 kilograms. A student exerts a force on a cord to keep the airplane flying around her at a constant speed of 18.0 meters per seond in a horizontal, circular path with a radius of 25.0 meters. what is the magnitude of the centripetal force exerted on the air plane to keep it moving in this circular path

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  1. 13 April, 14:21
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    The first thing to do in this case is a free-body diagram in the radial direction. From the free body diagram you get that

    Fc = m * ar

    where

    Fc: Centripetal force

    m: mass

    ar: radial acceleration

    By definition

    ar: v ^ 2 / r

    where

    v: speed

    r: radio

    Substituting the values

    Fc = m * (v ^ 2 / r)

    Fc = (2.50 * ((18 ^ 2 / (25)) = 32.4N

    answer

    the magnitude of the centripetal force exerted on the air plane to keep it moving in this circular path is 32.4N
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