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

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.)

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Bella 3 months 2022-02-02T04:08:52+00:00 1 Answer 0 views 0

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  1. Mia
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    2022-02-02T04:10:00+00:00
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    Answer: The number of revolutions the tire makes per minute= 840.76

    Step-by-step 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)

    [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

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