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10 July, 10:56

A race car rounds one end of a speedway. This end of the track is a turn with a radius r of approximately 187 ft. If the track is assumed to be completely flat and the race car is traveling at a constant 65.00 mi/h around the turn, what is the race car's centripetal (radial) acceleration a c?

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  1. 10 July, 11:18
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    the centripetal acceleration of the race car is found to be 48.6 ft/s².

    Explanation:

    The centripetal acceleration of a body performing a circular motion is given by the following formula:

    Centripetal Acceleration = ac = v²/r

    where,

    r = radius of the circular path (track) = 187 ft

    v = speed of the body (car) = 65 mi/h

    converting it to ft/s:

    v = (65 mi/h) (5280 ft/1 mi) (1 h/3600 sec)

    v = 95.33 ft/s

    therefore,

    ac = (95.33 ft/s) ²/187 ft

    ac = 48.6 ft/s²

    Thus, the centripetal acceleration of the race car is found to be 48.6 ft/s².
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