## 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

Question

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## Answers ( )

Answer:The number of revolutions the tire makes per minute= 840.76Step-by-step explanation:Given :Diameter of tire = 24 inchesSpeed 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)

[tex]=\dfrac{60\times63360 }{60}[/tex] inches/minute

=63360 inches / minute

Circumference of tire =[tex]\pi (diameter)[/tex][tex](3.14)(24)=75.36\ inches[/tex]

Now , the number of revolutions the tire makes per minute = [tex]\dfrac{\text{speed of car}}{\text{Circumference of tire}}[/tex]

[tex]=\dfrac{63360}{75.36}=840.76433121\approx840.76[/tex]

Hence,

the number of revolutions the tire makes per minute= 840.76