An 1800 RPM motor is a 4 pole and will offer more torque. The VFD will allow you to run the 1800 motor at 3600.
Yep, the 1800 rpm motor will have more torque at low rpm - where you don't need it. Torque is (5252*hp)/RPM. So with an electric motor your max torque is at lowest RPM where max HP is reached.
for 1800 rpm 2hp motor; (5252*2)/1800 = 5.8 ft/lb of torque at 1800 rpm, but when you increase to 3600 rpm you've got (5252*2)/3600 = 2.9 or about half the amount of torque at 1800 rpm.
for 3600 rpm 2hp motor running at half rpm let's assume it produces 1 hp; (5252*1)/1800 = 2.9 ft/lb of torque at 1800 rpm, but when you increase to 3600 rpm you've got (5252*2)/3600 = 2.9 or the same torque as the 1800 rpm motor. At 1800 rpm the 3600 rpm motor has only half the HP and torque of the 1800 rpm motor, but at 1800 rpm you're running slow and won't be using the power needed to "hog" metal.
Remember, it's not just the RPM, it's also the diameter of the drive wheel that gives the belt speed. You really want at least 4,000 SFPM belt speed for hogging, and ceramic belts really start to shine at 5,000+ SFPM speed. Ceramics really like heavy pressure and high speed.
A 4" diameter drive wheel will give just a tad more than motor rpm for a direct drive motor. I've got my VFD set to 70 hz to overspeed the motor a tad and get a tad over 4,000 SFPM. A motor should handle close to 5,000 RPM max.
I sure hope I got all the math correct.