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26 May, 07:14

A 2.30 kg granite stone is tied to a rope and spun in a circular path of radius 1.18 m. The stone attains a maximum speed of 12.0 m/s. What is the magnitude of the maximum radial acceleration (in m/s2) of the stone

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  1. 26 May, 10:03
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    The magnitude of the maximum radial acceleration of the stone is 122.034 m/s^2

    Explanation:

    Maximum radial acceleration (a) = w^2r

    w = v/r

    w^2 = (v/r) ^2 = v^2/r^2

    a = v^2/r^2 * r = v^2/r

    v is the maximum speed the stone attains = 12 m/s

    r is the radius of the circular path = 1.18 m

    a = 12^2/1.18 = 144/1.18 = 122.034 m/s^2
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