Will running a 60 cycle motor on 50 cycles harm it I am bringing a lathe to Africa on a Mission effort. I am installing a transformer to change 230V to 115V but I am concerned about the frequency?

It is important that you should read see the answer to the Related Question shown below: "Would 120 volts appliances work on 230 volts in Europe?"

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This question is asking just about the motor. No electronic controls are associated with it.

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The speed will be different. The motor may heat up more lowering it's total life expectancy. Best you contact a licensed electrician that knows of European devices.

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As always, if you are in doubt about what to do, the best advice anyone should give you is to call a licensed electrician to advise what work is needed.

Before you do any work yourself,

on electrical circuits, equipment or appliances,

always use a test meter to ensure the circuit is, in fact, de-energized.

IF YOU ARE NOT ALREADY SURE YOU CAN DO THIS JOB

SAFELY AND COMPETENTLY

REFER THIS WORK TO QUALIFIED PROFESSIONALS.