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If a 180 RPM synchronous motor and gear train rated for 60Hz is run on 50Hz, what speed will the output shaft have?

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For a generic answer: yes you can, IF: you reduce the voltage by 50/60, the equipment doesn't care, you don't care about potentially overheating the motor, the process/load can tolerate the lower speed/torque, etc.
User Karolszafranski
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