Single phase 2 wire motor... Can this be connected to household electrical wiring?
If the appliance shows a nameplate rating of 240V it is not clear why you would ask this question? On first appearance, it would seem obvious that it was intended for UK/European/230-240V mains power.

The "scotch block with two black wires and the earth separate" doesn't really tell us anything without a photo and description of what is connected there.