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Originally Posted by Xufer
I dont currently have the specs but i will give you some aproximations
well under a regular load the CIM does just under 5000 (something lke 4960) rpms SO:
5000rpms /60 seconds is 83.33 rps which is 41.6 FPS with 6" circumferance whells without a tansmission.
so you equation would be 41.6fps * (gear ratio) = 5fps
that gear ration would be apx 1:8 giving you a speed of 5.2 fps under a normal load remember you need to consider load and amperage when designing a transmission theese atwoods have the potential to draw much much more than the 40amps you are allowed.
(The above is all using the 5000rpm aproximation)
For info on this i suggest you read through :
http://lancet.mit.edu/motors/
it is listed in the FRC manual on page 4 of the robot chapter.
Just as a side note i learned this lesson the hard way last year when we drew 90 amps in a stall and continually popped breakers. Its not fun at all. 
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Small loss of Pi, figures are correct for a wheel with as you say a 6" circumference, that would be 6/3.14 to get diameter, A 6" wheel is 6*3.14.
So 83.33 *1.57' gets 130.8 fps plug that in:
130.8 * (gear ratio) = 5fps and you get 26:1
-Biff