QUOTE (paulengr @ Oct 22 2009, 08:33 PM)

The following gives a longer winded version of the same thing in more detail:
http://www.reliance.com/mtr/mtrthrmn.htmJust looking at the article, it never comes out and gives you your answer.
Go back to the basic equation for the force on a current carrying conductor is:
F is proportional to BLI
F=force
B=flux density (the strength of the field that the conductor is in)
L=length of the conductor
I=current in the conductor
This is an EQUALITY. If we invert it, we get:
I is proportional to F/BL
So if the wire is being pulled through a magnetic field, the current on the wire must increase to balance the forces. If it does not increase, then in a motor, the slip will increase and the motor slows down because not enough current is being delivered to the motor to operate at rated speed. In DC and synchronous motors, this isn't a problem because both rotor and stator currents will increase. In an induction motor, the armature current is coupled to the surrounding stator magnetic field. As load increases, the motor slips slightly more until the flux density and current in the armature balance out electromechanically at a new operating point which is a slightly slower speed. If you overload an AC motor beyond the pull-out torque, the motor stalls. The field is rotating at a constant speed, equal to 7200 divided by the number of poles in the motor windings. So a standard 4 pole motor has it's field windings rotating magnetically at 1800 RPM. When the motor is loaded to 100% of it's torque (horsepower) rating, it will run at the name plate rated speed which is usually 1-3% below maximum speed (usually about 1720-1750 RPM). As you reduce the load to 0 (nothing on the shaft), it will gradually increase to some place close to 1800 RPM but never exceed it. For most applications, this speed is close enough that most folks treat it as constant.
OK, getting back to the original situation...
In AC motors, the locked current (and also rated torque) is roughly 150-200% of the rated (FLA or HP) range. Since this is twice the motor's rated cooling capacity, and with an integral fan, there's no air movement, you can't normally operate at this point for very long. Once the motor starts coming up to speed, the rated torque of the motor actually increases even more (the pull in torque), until it gets to rated speed where the force, flux, and current all balance again. So at least for a short time (until the motor overheats), it can pull much higher torques. Once you stop it, you are limited to the locked rotor torque (150-200%), and the heat load shoots up very quickly since the motor isn't moving. So in your theoretical "gear box is shot" situation, you might be able to get it to turn over for just a few seconds before shutting down due to overload, or in some situations, it won't even rotate the slightest bit. Starting currents (as the magnetic fields suck down all the current necessary to charge the fields) is often 17 times rated current, and in energy efficient models has been measured as high as 21 times or more. Don't forget too that this translates into torque internally in the motor...starting currents are the most destructive on rotor bars, insulation, and anything else involved in generating magnetic fields. Even after this is over with, current during stall (locked rotor) conditions surges to roughly 6 times normal full load current. With this in mind, it's obvious why with across-the-line starting, "bumping" is very hard on motors without drives to control the torque/current. Assuming that you deal with all the other problems of using drives (heat loads, potential standing waves, and rotor current buildup), it should be obvious why motors driven by drives often last much longer especially in frequent start/stop conditions than motors driven by across-the-line starters.
If you use a full vector drive, you can manipulate the operating point of the motor. You can change the rotating field speed (frequency) and voltage to allow the pull in torque to occur even at ZERO speed. This gives full vector controlled AC induction motors a higher torque rating (roughly double) than their DC brethren where on a DC motor, torque is fixed from 0 speed all the way to rated (base) speed. Effectively, you can operate a motor with fixed torque, fixed speed, or vary both, just as you can with DC motors. Again, this is of course within the limits of the bearings and cooling capacity of the motor. Adding an external fan cooling system makes almost anything possible.
Unlike a DC motor, AC motor math is ugly because you have the inductive transfer of energy from the fields to the armature. Everything gets very nonlinear and it makes my head hurt trying to follow some of what the motor gurus are talking about. Just remember that the rated speed on an AC motor is "approximate", and that once you throw a drive into the mix, you can achieve a lot more with an induction motor.