Hi Lance
Actually AD-DC Adaptor. Bit of a difference, “Transformer” implies AC output.
I hope that bit of mains wire from the PID controller to the SSR is not carrying mains voltage. I think most SSRs are 3-30VDC operating voltage. You must have been lucky to be able to find a DC SSR. Most I have seen have been zero crossing switches and as DC does not get to zero will never switch
You should ask where this guy found a pot with enough current capability to use as a speed control. Also if he is still using it. Might have fried by now. If you only want to slow it down a bit measure the current then calculate a resistor to drop the voltage to 9 or 10 volts or whatever you need A bit wasteful on power heating up a resistor but might be the way to go if you don’t want to have continuous control over speed. Don’t forget to calculate the resistor power requirement too, I will probably get quite hot. If you don’t know how to do this refer to Michael’s recent post and video here
Cheers Bob