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

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User Jkeating
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1 Answer

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Final answer:

To find the number of revolutions per minute the wheels are turning, we need to know the diameter of the wheels and the speed at which the bicycle is traveling. First, convert the speed from km/h to m/s. Next, calculate the circumference of the wheel using C = πd. Finally, calculate the number of revolutions per minute using the formula rev/min = speed (m/s) / circumference (m).

Step-by-step explanation:

To calculate the answer, we need to know the diameter of the wheels and the speed at which the bicycle is traveling. Let's say the diameter of each wheel is 50 cm. We also need the speed, which let's assume is 20 km/h.

First, we need to convert the speed from km/h to m/s. So, 20 km/h = 20,000 m/3600 s = 5.56 m/s.

Next, let's calculate the circumference of the wheel using C = πd, where d is the diameter. So, C = π x 50 cm = 157 cm.

Finally, we can calculate the number of revolutions per minute (rev/min) using the formula rev/min = speed (m/s) / circumference (m).

rev/min = 5.56 m/s / 1.57 m = 3.53 rev/min.

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User Ratique
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