What kind of plug does this machine take?
The barrel jack mates with a wire from a "wall wart" wall  plug adapter most likely, and most likely it supplies DC voltage. 

If you can read the voltage on the cooling fan label it's a fair guess that the input voltage matches that. Probably something like 12VDC. 



Center pin is usually positive, but again no guarantees (wrong polarity or voltage will or can damage it). You can open it up and trace the connections- if the fan goes directly through a switch to the input power that will give you the voltage and polarity. 

Current requirement is a complete guess but it could be measured. 

To spec a replacement wall wart you need the connector, polarity, voltage, and current requirement (at a minimum).