SOLUTION: the diameter of each wheel of a bicycle is 26 inches. If you are travelling at a speed 35 miles per hour on this bicycle, through how many revolutions per minute are the wheels tur

Algebra ->  Trigonometry-basics -> SOLUTION: the diameter of each wheel of a bicycle is 26 inches. If you are travelling at a speed 35 miles per hour on this bicycle, through how many revolutions per minute are the wheels tur      Log On


   

Question 817809: the diameter of each wheel of a bicycle is 26 inches. If you are travelling at a speed 35 miles per hour on this bicycle, through how many revolutions per minute are the wheels turning?
Found 2 solutions by lwsshak3, TimothyLamb:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
the diameter of each wheel of a bicycle is 26 inches. If you are travelling at a speed 35 miles per hour on this bicycle, through how many revolutions per minute are the wheels turning?
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wheels are turning at 226.24(rev/min)

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
bike linear speed:
s = 35 miles/hour * (1/60 hr / min) * (5280 ft / mile) * (12 in / ft)
s = 36960 in/min
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wheel circumference:
c = 2 pi r
c = 2 pi 13
c = 81.681409 in/rev
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wheel angular speed:
a = s / c
a = 36960 in/min / 81.681409 in/rev
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answer:
a = 452.5 rpm
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