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.

Question

Physics

Alexandra Figueroa

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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Answers (1)

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Kaylie Franco · Answer 1

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.