The diameter of each wheel of a bicycle is 26 inches. If you traveling at a speed of 35 miles per hour on this bicycle, through how many revolutions per minute are the wheels turning?

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Answer 1 · 2018-05-19T22:10:23

Need to convert mph to rpm. How to do it? See below please.

assume statute mile of 5,280 ft or 1760 yards

#((35mph) / "60")# = miles per minute = 0.583333 miles per minute

Now how many ft in 0.58333 miles?

1 mile is 5 280 ft thus

0.58333mile * 5 280 ft/mile = 3 080ft

Circumference of wheel is C=#pi# d

C = 26*#pi#

C #~~# 81.681 inches /12 = 6.807ft/revolution

Now how many times does the wheel rotate in one minute?

#3 080(ft) / ("minute")# / 6.807 ft/revolution = 452.489 rpm