You are in the US I guess - Black is Hot - A simple, single pole switch has Hot going in on one terminal and when the switch is thrown, Hot coming out on the other terminal - The switch interrupts the Hot (Live) wire.
The White/Common/Neutral wire never connects to a single pole switch but usually does to a double pole switch.
If there's an Earth wire, in the UK it usually connects to the metal wall box the switch id fixed into - if the switch has a metal front plate that too often has an Earth terminal.
I am not surprised that the dimmer is singing to you - I don't think they're designed to run motors.
Peccavi, July 2009