Final answer:
To find the speed of a car in mph from the wheel's radius and rpm, calculate the wheel's circumference, convert to miles, multiply by the rpm, and then convert to mph.
Step-by-step explanation:
Calculating Speed of a Car in mph Based on Wheel Rotation
To determine the speed of a car in miles per hour (mph) when its wheels of radius 11 inches are rotating at 600 revolutions per minute (rpm), you need to carry out a few conversions. Firstly, convert the wheel rotation speed from rpm to miles per hour and then use the circumference of the wheels to find the distance traveled per minute.
Here's the step-by-step calculation:
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- Calculate the circumference of the wheel, which is the distance a wheel covers in one revolution. Use the formula C=2πr, with r = 11 inches.
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- Convert the wheel's circumference from inches to miles.
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- Calculate the distance the car travels in one minute by multiplying the wheel's rpm by the circumference.
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- Finally, convert this distance per minute to mph for the final speed of the car.
By carrying out these calculations, you will arrive at the car's speed in mph based on the given wheel radius and rotation speed.