Quote:
Originally Posted by Ether
No. In the forward direction mecanums will go the same speed as a standard wheel (neglecting parasitic losses due to roller axial free play and carpet stretching which causes the rollers to spin). Omni will go sqrt(2) faster due to the 45 degree angle.
See attachment. The blue arrow indicates how far the omni wheel would travel for one rev if not constrained to move in the forward direction. The red arrow indicates the motion contributed by the (spinning) rollers when the wheel is constrained. The black arrow shows the net motion, which is sqrt(2) greater than the length of the blue arrow.
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Interesting, I had never considered this. Makes sense.