Edgar - Good idea. Unfortunately a frankenmotor would not work for Sam's situation. Since the belt pulley is longer on the Ametek motor in the Royal powerhead, it would require using the armature inside the motor in the new generic Ametek motor in it's place. Problem is, by the time those motors are burned out, so is the armature itself, and it would cost a small fortune to take it to a small motor shop and have the armature rewound and new bearings put on. And, that's IF the armature will fit in with the field coil and plastic housing on the new motor.
Sam - Go to the dollar store & buy a cheap long screwdriver, and make sure it is made of chrome vanadium and that the metal pole is smooth and chromed. Ask your local vac shop for 2 mounting screws for the mounting plate from the old motor. Then find a local welder in your area, and take both motors to him. He will be able to get the motor bracket off the old motor by drilling the screws out. Then, to lengthen the belt pulley on the new motor and make it work in the Royal, all he has to do is cut off the screwdriver handle, cut off the bit on the end, weld it onto the belt pulley, cut to length, and then smooth out the end.
I have had to custom make screwdrivers before by having a welder weld on a bit onto a screwdriver when you have a screwdriver that is next to impossible to find any other way, so it can be done. Yes it will be a lot of work, but it will be 100% worth it because you will have a motor that will last. Will's suggestion to rebuild the motor is just not practical - will be VERY EXPENSIVE, and who knows how much more life the motor would have after it's rebuilt, plus who even knows if replacement carbon brushes are available for a motor that old, which would be a MUST if you were to even consider doing that. Customizing a new motor to work for the powerhead will be a much more practical, longer lasting solution. Good luck.