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The diameter of each wheel of a bicycle is 28. If you are traveling at a speed of 40 on this bicycle, through how many revolutions per minute are the wheels turning?

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Final answer:

To find the number of revolutions per minute the bicycle wheels are turning, you can use the formula: RPM = Speed / Circumference. Given the diameter of each wheel and the speed of the bicycle, you can calculate the circumference of each wheel and then determine the number of revolutions per minute.

Step-by-step explanation:

To find the number of revolutions per minute the bicycle wheels are turning, we can use the formula:

Revolutions per minute (RPM) = Speed (m/s) / Circumference (m)

The circumference of a wheel can be found using the formula:

Circumference = π * Diameter

In this case, the diameter of each wheel is given as 28 cm, which is equivalent to 0.28 meters. Therefore, the circumference of each wheel is:

Circumference = π * 0.28 = 0.88 meters

Now, we can plug this value along with the given speed of 40 m/s into the first formula:

RPM = 40 / 0.88 ≈ 45.45

Therefore, the wheels are turning at approximately 45.45 revolutions per minute.

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