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?

Question

46308 views around the world

You can reuse this answer
Creative Commons License

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