- #1
ortegavs
- 13
- 0
Homework Statement
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?
Homework Equations
2πr/rev
The Attempt at a Solution
I 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.
Last edited: