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## A good baseball pitcher can throw a baseball toward home plate at 90 mi/h with a spin of 1950 rev/min. How many revolutions does the basebal

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A good baseball pitcher can throw a baseball toward home plate at 90 mi/h with a spin of 1950 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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Physics
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2021-08-19T13:00:11+00:00
2021-08-19T13:00:11+00:00 1 Answers
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## Answers ( )

The baseball will undergo

16 revolutionson its way to home plate.Explanation:As the parameters which are given are

speedat which the baseball is thrown, (v = 90 mi/h)and thedistancebetween the home plate and the ball thrown is60 ft. Also thespinis said to1950 rev/min, it indicates that the ball will undergo1950 revolutionin everysingle minute.So in order to determine thenumber of revolutionsthe baseball will make in its way to home plate, we have tofirst determinethetime taken for the baseball toreach its home platewith the given speed.As we know that speed can be obtained by the ratio of distance with time, in the present case, we know the speed and distance, then time can be obtained by ratio of distance with speed.

At first, we have to convert the

speed from mi/h to ft/min1 mi/hr = 5280/ 60 ft/min = 88 ft/min.Then, Time = Distance/Speed = 60/(90×80)=60/7200=8.33 × 10⁻³ minSince the ball undergoes

1950 revolutions in 1 min, then in8.33 × 10⁻³ min, the number of revolutions will be 1950×8.33 × 10⁻³ = 16 revThus, the baseball will undergo

16 revolutionson its way to home plate.