Sorry, sometimes I get carried away so let me try again. Assume the motor isn't turning but has power. You will hear a hum because of the 60 cycle per second current in the windings. Hertz and cycles per second are the same and the terms can be used interchangeably. This hum is due to small vibrations in the winding due to the magnetic field being generated by the 60 cycle power. The magnetic field is reversing 60 times a second. Sometimes this hum may be loud and sometimes you may not be able to hear it at all. Now, if this was a synchronous motor the rotational speed would be that of the alternating current frequency, or 3600 RPM. (60 cycles per second, or Hertz, AC current X 60 seconds in a minute.) These motors are not synchronous however so the rotational speed is a little less than 3600. If you look on the plate they will usually state 3450 RPM. Divide by 60 seconds per minute you have 57.5 Hertz. So now you have two sources of noise, the 60 Hz hum, and the 57.5 Hz mechanical noise. What you can hear in some motors is an increasing and decreasing hum level at the difference frequency or 2.5 Hz. Sometimes I suppose the electrical hum can get loud if a bolt loosens inside on something related to the winding assembly. If what you're hearing gets louder and softer at the 2.5 cycle rate then what I described could be your situation. I have a feeling not. Other than this I still have no ideas.
Al
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