A good baseball pitcher can throw a baseball toward home plate at 86 mi/h with a spin of 1530 rev/min. How many revolutions does the baseball make on its way to home plate

Question

Social Studies

Martha Frost

9 June, 02:23

A good baseball pitcher can throw a baseball toward home plate at 86 mi/h with a spin of 1530 rev/min. How many revolutions does the baseball make on its way to home plate

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Answers (1)

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Arely Bolton · Answer 1

12.1 rev

Explanation:

The question seems incomplete. So for simplicity, we assume that the 60 ft trajectory is a straight line.

First, find the time it takes to get the baseball to homeplate:

t = S / V,

where S is the distance traveled

V is the velocity.

t = 60 ft / 85 mi/h

But 1 Mile = 5280 Feet

Therefore

t = 60 / (86 * 5280) = 0.0001321 hours

Coverted to minutes

t=hours*60min

= 0.007928 min.

Second, to calculate the number of revolutions made:

N = t * n

t is the time in minutes

n is the number of spin/min

= 0.007928 * 1530

= 12.1300 = approx. 12.1 revolutions.

Answer: 12.1 revolutions.