Is it worth it to implement traction control?

[Paul Copioli]

Our testing on the actual surface with the actual trailer shows us that when you are not slipping you will get up to speed at least 30% faster than without and for turning it saves at least 50% of the time. Trying to rotate the goal or rotate aroiund the goal from a dead stop is brutal if you are slipping the wheels.

[dmlawrence]

Actually, the first number I quoted was just a mental approximation. Here's a more exact number:

Mu changes from .05 to .06 - an increase of 20%.
Force of traction = mu * normal force, so traction also increases by 20%.
Max acceleration = Force of traction / mass, so acceleration also increases by 20%.
Time = sqrt(2 * distance / acceleration), so for a given distance, a 20% increase in acceleration corresponds to 1/sqrt(120%)=91.3%, or an 8.7% decrease in time.

This doesn't seem to match up with the results mentioned above.

[DonRotolo]

Also note this thread.