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  • Calculating Centripetal Acceleration of a Swinging Hammer: A Physics Problem
    Here's how to calculate the centripetal acceleration of the hammer:

    1. Convert revolutions per second to angular velocity:

    * Frequency (f): 1.6 revs/s

    * Angular velocity (ω): 2πf = 2π (1.6 revs/s) ≈ 10.05 rad/s

    2. Calculate centripetal acceleration (a_c):

    * Centripetal acceleration (a_c): ω²r

    * where ω is the angular velocity (in rad/s) and r is the radius of the circle (1.4 m)

    * a_c = (10.05 rad/s)² * 1.4 m ≈ 141.4 m/s²

    Therefore, the centripetal acceleration of the hammer is approximately 141.4 m/s².

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