ryanjiang567
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A car travels at 4,400 feet per minute. The radius of each tire on the car is 1 foot . How many revolutions does one of these tires make in 1 minute? (Use the approximation 22/7 for pi)


PS:please explain your answer.

Respuesta :

salatulmaghrib
700 rotations
If the radius is 1 foot, the diameter is 2 feet (twice the radius). The circumference of a circle is pi times the radius. Using 22/7 as pi, the circumference of each tire is (22/7)*2 feet. That is the same as 44/7 feet.
If the car is going 4400 feet per minute, the tires will "rotate 4400 feet from the circumference" - if you know what I mean. The tire completes one rotation every 44/7 feet. So, in 4400 feet it will complete (4400)/(44/7) feet. That is equal to 4400*7/44. Put that in a calculator and you get: 700.
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By dividing the distance travelled by car with the circumference of the tire, we find that one of these tires make 700 revolutions in 1 minute.

What is circumference of circle?

To calculate the circumference of a circle, multiply the diameter of the circle with π. The circumference can also be calculated by multiplying 2×radius with π.

Distance travelled by car in one minute = 4400 feet

Circumference of car's tire = 2πr = [tex]2*\frac{22}{7} * 1[/tex] = [tex]\frac{44}{7}[/tex] feet

The total distance covered in one revolution will be equal to the perimeter of the wheel (circumference of tire). To find the total number of revolutions, divide the total distance by distance covered in one revolution.

= Number of revolutions made by the car in one minute  

= Distance travelled by car/ Circumference of car's tire

= [tex]\frac{4400}{\frac{44 }{7} }[/tex] = 700

Learn more about circumference of circle here

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