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

1. 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)

$$=\dfrac{60\times63360 }{60}$$  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 = $$\dfrac{\text{speed of car}}{\text{Circumference of tire}}$$

$$=\dfrac{63360}{75.36}=840.76433121\approx840.76$$

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