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Problem 1 Two friends are planning to go on a 480 mile-long bike ride over the...

Problem 1 Two friends are planning to go on a 480 mile-long bike ride over the summer. One is planning to ride a mountain bike with 26-in. tires, the other has a touring bike with 27-in. tires. a) How many more revolutions will the mountain bike tires make in that distance than the touring bike? b) Typical gearing for moste bicycles ranges from 30 to 50 teeth on the chain wheel (front gears) and 12 to 30 teeth on the rear cog. How many more revolutions on the pedals will the mountain biker make during the trip. Assume he is pedaling 85% of the time and has a 42-tooth chain wheel and a 21-tooth rear cog. c) If both cyclists have 170-mm cranks on their bikes, what will be the mechanical advantage (consider only the movement of the feet with a constant force for walking and riding), in percent, that each rider will have achieved over walking the same distance.

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