(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If the radius of the wheel on a bike is .25m, and has a velocity of 10m/s, how many revolutions does the wheel make each second?

2. Relevant equations

2πr/rev

3. The attempt at a solutionI solved this problem in terms of pi. First each rev moves the wheel 2πr which is 2π(1/4)=1/2π meters. I then divided 10m/s by 1/2π meters and that is where I get stuck. Here is what I did.

I first setup the problem and divided the bottom part by 2revs/2revs to cancel it out from the bottom. I then divided the bottom again this time by π m/ π m to remove π from bottom. I then divide 10 by 2 to get the final answer which is wrong because it has the wrong units.

=10m/s/1π/2rev x2rev/2rev

=10m/s*2rev/1π x π/π

=10m *π/s*2rev

= 5m*π/s*rev

My guess is that I have to use order of operations and do the top division first, then the bottom, then divide them by each other. 10/1= 10 , .5/1=.5 and 10/.5 =20. The answer given is 20/ π revs.

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# Homework Help: How many rev does wheel make?

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