I disagree with the common thoughts posted before.
It is very easy and cheap to put a smaller 3 phase motor of 2-4 kW, or even vastly better, a brushless AC servo (like mine), on the 16x lathe.
This will run on any current available, subject to total power, just pick the right drive.
A VFD will give good-to-great torque and rpm ranges, from about 20 HZ - 6 Hz, or 300%.
And upto 100% extra rpm, or say 50-1000-2000 rpm, easily, from a 2 kW VFD, +/-.
There is zero real *need* to have a big motor on a biggish 16" lathe.
A 2 kW real industrial motor == 100-150€, new.
VFD about the same, add some belts, pulleys, steel framing.