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Well, that all depends. You see the number of revolutions that an electrical motor turns is dependent upon the cycles per second (Hertz) that the alternating current is changing. A motor that is designed to run on 60 Hz and is plugged into a 50 Hz system will turn 17% slower, the internal current will go up 17%, the amount of power (watts) will go down 17%, and the mechanical cooling will be 17% less. The end result will be that the motor will be using a higher current then what the motor was designed for, and this in turn will burn up the insulation of the electrical wiring which can result in burnout which could cause a fire because of the excessive heat.

2. That is correct.

A motor designed for 60 Hertz which is run from 50 Hertz will draw more power and run hotter and slower.

But this is unlikely to burn up the insulation and cause an outright fire unless the motor was designed poorly and running very hot on the proper frequency to begin with. Still, the consideration of smoke and fire is disturbing.

The extra heat can be compensated for by using a fan or larger fan on the motor shaft to cool the motor.

3. Aside from motors, in principle there is very little to choose between them. 50 Hz is slightly better for long distance power transmission because the power loss in the overhead lines is less. But a 50 Hz transformer needs about 17% more iron in it so it is are bigger and heavier.

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