Speed Controllers - How do they work?


I'm trying to figure out how these speed controllers actually control the speed of a turntable. I have a Clearaudio Champion 2, and the motor has a single AC power cord coming out of it. If I plug the motor into the speed controller, how does the signal to control the actual speed get to the motor to slow down or speed up the table? Maybe I'm missing something here, but I'm confused about how they work. I'd consider purchasing one if they are really worth having. Can someone explain this to me?
spenceroo
They also clean up the electricity going into the motor and back out through the AC to the other components.
So if I plug my Clearaudio motor into a Clearaudio syncro, the syncro is going to regulate the power to the motor to either slow down or speed up the motor? It reduces or increases the amount of electricity the motor receives? The less power to the motor, the slower it turns the platter and visa versa?
Spenceroo,

Sidssp already answered your question.

Power (wattage) has nothing to do with it.