[Oblarg]

Originally Posted by PingPongPerson

All I am saying is that using dimensional analysis can be a quick and easy way to compare speeds of gearboxes to previous designs assuming there is not a drastic change in speed. For example, our robot last year ran at a dimensionally calculated speed of 20 fps so by gearing a gearbox for 18 fps we get a slightly slower gearbox.

Strictly speaking, what you're doing is not simply dimensional analysis. Dimensional analysis would be multiplying the characteristic size of the wheel by the characteristic speed of the motor; it thus usually results in loss of dimensionless constants.