As per the title this is for a hobby lathe running off 240v so I believe the motor which is 50hz 1420rpm is an AC brushed single phase does the AC mains 50hz frequency control the motor speed? And if so will a vfd allow the speed to be varied whilst maintaining a decent level of torque?
Only other point for cost reasons I would need to buy a 3 phase inverter with 3x the rates motor power and just run off 1 phase would that cause problems?