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24 November, 00:32

A good baseball pitcher can throw a baseball toward home plate at 87 mi/h with a spin of 1710 rev/min. How many revolutions does the baseball make on its way to home plate? For simplicity, assume that the 60 ft path is a straight line.

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  1. 24 November, 04:22
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    First, convert 87 mi/h to ft/min.

    87 mi/h * (5280 ft/mi) * (1 h / 60 min) = 7656 ft/min

    The time to reach the home plate is:

    t = 60 ft / 7656 ft/min

    t = 0.00784 min

    The number of revolutions made in that time is:

    n = 1710 rev/min * 0.00784 min

    n = 13.4 rev

    Rounding to 2 significant figures, the ball makes 13 revolutions.
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