Question

A tire for a car is 24 inches in diameter. If the car is traveling at a speed of 60 mi/hr, find the number of revolutions the tire makes per minute. (Round your answer to the nearest hundredth.)

Answer 1

Answer: The number of revolutions the tire makes per minute= 840.76

Explanation:

Given : Diameter of tire = 24 inches

Speed of car = 60 mi/ hr

We know that 1 mile =63360 inches and 1 hour = 60 minutes

Then, Speed of car = ( 60 mi/ hr) x( 63360 inches) ÷ (60 minutes)

`=(60*63360 )/(60)` inches/minute

=63360 inches / minute

Circumference of tire =
`\pi (diameter)`

`(3.14)(24)=75.36\ inches`

Now , the number of revolutions the tire makes per minute =
`\frac{\text{speed of car}}{\text{Circumference of tire}}`

`=(63360)/(75.36)=840.76433121\approx840.76`

Hence, the number of revolutions the tire makes per minute= 840.76