Hi there, Richard,
I think you'll be very lucky if anyone recognises your motor on looks alone – still, I may be underestimating the Group wisdom and experience.
How much do you know of your motor's history? Did it come to you as a declared 'worker' or is its provenance a complete mystery?
I'm guessing but the hole for the red plug in the terminal box is prpbably tapped with a conduit thread. If it's 3/4" by 16 tpi that suggests the motor is fairly old – not necessarily a show-stopper, the motor on my ML7 lathe was second-hand in 1970 and was OK when I last switched it on. The alternative is the more modern 20 mm metric conduit thread. There might not be very many threads in the thickness of the terminal box tapping so using a thread gauge might be a bit tricky. Probably better to visit your local electrical wholesaler (e.g. TLC or Wades) and buy a 20 mm male conduit fitting as a gauge. If you do eventually decide that the motor is usable, I recommend that you buy a length of flexible plastic conduit plus end-fittings to convey your wiring from the motor terminals to the associated starter & switch-gear. TLC sell an installer's kit but they also sell the conduit by the metre and the fittings by 'each'.
The D-shaped hole in the terminal box lid could be for the cable to a capacitor – is there any sign that a capacitor was ever fitted? If the motor is capacitor start or capacitor start & run, the capacitor is usually fitted within a shroud on the outside of the motor casing. Look for any vacant screw-holes that might have held a capacitor shroud. Of course, your motor might be 'induction start' or 'induction start & run' in which case it won't need a capacitor.
I see that someone has substituted a screw for the woodruff key in the motor shaft, I assume you'll clean that up?
I recommend that you buy one or both of the Workshop Series of books on electric motors in the workshop. They will potentially help you a lot, particularly when it comes to deciding which wires go to which motor terminals. There have also been threads on this forum addressing that subject, you might like to take a photo of the motor terminal panel in preparation for that puzzle.
I'll close with a caution – if you aren't electrically-savvy, ask a friend.
Best regards,
Swarf, Mostly!