Question

A good baseball pitcher can throw a baseball toward home plate at 93 mi/h with a spin of 1510 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.

Answer 1

`\Delta \theta =11.073\ rev`

Step-by-step explanation:

Given,

Speed of baseball = 93 mi/h

spin = 1510 rev/min

`\Delta x = 60\ ft`

`v =93*  (88)/(60) = 136.4 ft/s`

`\omega = 1510* (1)/(60)= 25.167\ rad/s`

`\Delta t = (\Delta x)/(v)`

`\Delta t = (60)/(136.4 )`

`\Delta t = 0.44\ s`

Revolutions of ball

`\Delta \theta = \omega t`

`\Delta \theta = 25.167* 0.44`

`\Delta \theta =11.073\ rev`

Revolution of the ball is equal to
`\Delta \theta =11.073\ rev`.