The infrared image below shows a ceiling fan motor thats hotter than the room its in. From the second law of thermodynamics we know where that heat is going into the cooler room.
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Ceiling fan motor hot. Look for the mf number s. If it is smoking and flaming that would be a cause for concern. If any of the speeds do not start and spin then a capacitor is bad. And the cheaper the fan the hotter it will get. I know electric motors can get very hot but this is not a compressor motor its a 60 watt fan which by definition should have good airflow over it. A ceiling fan makes a room more comfortable at higher temperatures during the summer.
Internal parts are typically not user serviceable so a replacement motor is your best bet. The fan is flush mount so the motor is encased and it feels rather hot. A hot motor means the internal bearings and components are damaged. And in the winter a ceiling fan can be reversed to circulate rising warm air. The motor is not supposed to be in contact with anything flammable. Because it stirs up a breeze in a room you can set the rooms thermostat 5 to 7 degrees higher dramatically cutting your air conditioning bills.
Replace the ceiling fan motor if it feels hot during this test. Just installed a new ceiling fanthe fan works fine but after it runs for a whilewe are smelling a paint burning smell. You gotta figure it should be at least 50 efficient and 30 of those watts are moving air rather than heating up the housing. If you conect the black to the ground that is wrong and it will get hot. As long as you conect the wihte to white black to black and ground to the ground that is the right way to wire the fan. Replacing a ceiling fan capacitor.
The circuit breaker wont trip and the smell will persist. If you bought the 2999 special you can use it to fry eggs. So there is no way a hot motor can start a fire. Because electric motors are devices that turn electrical energy into mechanical energy most of which ends up as heat. It is not normally installed directly against the ceiling and the ceiling is supposed to be non flammable drywall. Fans have 1 2 3 caps or a single plastic box with 2 or 3 caps inside it.
This might be why the motor is getting hot. If the fan works poorly rotates slowly or not at all and emanates a burning smell the problem is likely in the motor or the bearings. It will probably do that better than move air.