Old 07-13-12 | 06:42 PM
  #7  
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Kurt Erlenbach
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Joined: Jul 2007
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From: Space Coast, Florida
Here's my answer. Assume you're on a trainer. The bike moves a distance of zero, but the pedals and shoes move pi(crank length) * # of revs. Using that formula, going 17.3 mph means 1522.4 ft/min = 3.4682 min per mile. 78 rpm cadence thus = 270.5 revs per mile. pi(175 mm) * 270.5 revs = 148,715.49 mm per mile. 148,715.49 mm = 487.912 feet. The answer thus, I think, is 5280 + 487.9 = 5767.9 feet. But after reading the wikipedia article about cycloids, I think the correct answer requires calculus that this lawyer, who barely passed Calculus for Babies in college, no longer knows.

Am I right or wrong?
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