Tilt Motor Left/Right
I would suspect the tilt motor. These are pretty simple tables. If I'm not mistaken, you can switch the motor at the control box(switch tilt for another function). If the tilt is still slow when hooked up to a different function, you can be pretty sure its the motor/actuator.
Rescue Biomed - Autoclave and Exam Table Repair
The manufacturer is Morgan Medesign model UD-400, serial no. 22179.