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Gearing question... check my math?

-BB-

I broke all the rules, but somehow still became mo
Sep 6, 2001
4,254
28
Livin it up in the O.C.
Ok...
i'm trying to figure out if one setup will have a lower gear than another.

The setup

#1) 22 front; 30 rear; 24in tire

#2) 22 front; 34 rear; 26in tire

Here's what I did... tell me if I'm off.
First, you see how far around the rear cog goes for each pedal stroke

22/30 x 24 = 17.6

22/34 x 26 = 16.8

Result? The 26in w/ 34 cog climbs better.

Now if I wanted to get an exact distance traveled per (pedal)revolution, then i'd multiply the above numbers by 3.14, right?
(22/30 = % of 1 wheel revolution)
Wheel size = diameter
Circumfrence = diameter(3.14)
Multiply the two , and you get distance traveled in one pedal revolution.

17.6(3.14)= 55.26in/pedal
16.8(3.14)= 52.8in/pedal


Anyone see any flaws?
 

mrbigisbudgood

Strangely intrigued by Echo
Oct 30, 2001
1,380
3
Charlotte, NC
The only flaw I see is I would measure the actual circumfrence of the tire in question for more accurate results. Tire size will change the equation.

First.......find your front to rear gear ratio.

# teeth front/# teeth rear=ratio

22/30=.73333333333

22/34=.647058824

Now, find your forward motion per revolution

gear ratio X mesured circumfrence = forward motion per pedal stroke.