A 1750 rpm, 2Hp motor would be sufficient
NEMA 56 frame motors have a 5/8” shaft, with the exception of the 56HZ frame has a 7/8” shaft .
They are generally 9 wire motors.
NEMA 145TC frame motors have a 7/8” shaft
The 184 frame has a 1-1/8” shaft
An inverter rated motor is best for extended use in low or high frequency conditions.
A non-inverter rated motor can be operated in the 30Hz to 90Hz envelope for short periods of time without appreciable consequence .
I have not experienced any failures on non-inverter rated motors following the practice.
Some will try to convince that you have to get a specific brand of inverter or spend more than you have to, but i’m here to say that you can run inexpensive vfd’s .
I’ve tested and worked with many different brands, from dirt cheap to high end drives.
There’s one thing that they all share, the possibility of failure. $1,800.00 drives fail too- i had to replace one today in my regular job for a grocery store in a meat portioning machine .
I replaced the inverter with the OEM Lenze drive.
If you aren’t in a production environment or making money from your mill, then a cheap drive is more cost effective.