Hi,
you say that the power supply does not have a connection for a potentiometer? That would suggest that the power supply is a fixed output voltage, in which case the
spindle will go at one speed only. In order for the spindle speed to vary the voltage of the power supply must vary, and such supplies are available but they are somewhat
specialised....and the cost reflects that.
When the supply turns up post some pics, and preferably some documentation about the supply.
Craig