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## Homework Statement

Bicycle Wheels The diameter of each wheel of a bicycle is

26 inches. If you are traveling at a speed of 35 miles per hour

on this bicycle, through how many revolutions per minute

are the wheels turning?

## Homework Equations

ω = θ/t

v = s/t

v = rω

## The Attempt at a Solution

I know the answer is

**452.5 rpm**, I looked in the back of the book. I just want to know the method for solving this kind of problem. I have looked at examples in the book, but they didn't have a problem like this solved, so I have no clue how to obtain the correct answer.

**Attempts**: I used equation v = rω (above), and tired to convert 35 miles to inches (2,217,600 in.), and divide by the radius (13 in), and got:

1. 2,217,600 = 13ω

2. ω = 2,217,600/13 ≈ 170,584

Which is no where near the correct answer. That's is just one of the many methods I tried to use, and at this point I am desperate and frustrated, and I come to you all for help.

Could you describe the steps to solve this problem?

Thanks.

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