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22 June, 04:40

A baseball pitcher loosens up his pitching arm. He tosses a 0.20-kg ball using only the rotation of his forearm, 0.28 m in length, to accelerate the ball. What is the moment of inertia of the ball alone as it moves in a circular arc with a radius of 0.28 m?

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  1. 22 June, 08:00
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    Moment of Inertia, I = 0.016 kgm²

    Explanation:

    Mass of the ball, m = 0.20 kg

    Length of the pitcher's arm, l = 0.28

    Radius of the circular arc, r = 0.28 m

    Moment of Inertia is given by the formula:

    I = mr²

    I = 0.20 * 0.28²

    I = 0.20 * 0.0784

    I = 0.01568

    I = 0.016 kgm²
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