Single phase will have 2 termination points, three phase will have 3 termination points.
Single phase Will have 3 termination points, 3 phase will have 7
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Single phase will have a round cover attached to the case that houses a start capacitor.
The number of termination points doesn't have anything to do with identifying single or three phase. It's the
way they're terminated to each other that ID's a motor as single or three phase. A single phase motor can have LOTS of terminals, depending on if it's multiple voltage, multiple speed, reversible, etc. Not knowing one from another will not allow you to ID just by the number of terminals.
Three phase motors can have many terminals too, depending on whether they're multiple voltage, part wind start, etc.
Not all single phase motors have caps. Only if it's a cap start (CSIR), cap start/run (CSCR) or run cap (PSC) motor. Split phase (RSIR), shaded pole and repulsion motors do not.
Post a picture or two of what's inside the terminal box if you can.
Tommy