In this case, I'm leaning in Marc's direction. If the centrifugal switch is welded shut, the motor will certainly draw high current - even after start up.
In this case, I'd disconnect the motor from the load (remove the V-Belts or whatever coupling device is used). Then I'd use a photo-tachometer to see if the motor approaches synchronous speed. Without being under load, it should be close to the name tag rated RPMs.
If it's not up to speed, I would suspect that the start windings are still energized. If it does come up to speed, then I'd be looking for a fault in the load.