Chances are it s the pool pump capacitor.
Well pump motor humming.
Pump motor humming and trouble starting.
Humming pump suggests the motor was burning up perhaps from over use or there could be a failed motor start capacitor.
If the service area of the sump pump experiences wet conditions and the motor in the sump pump hums but there is no lowering of the water level an air lock may be to blame.
See capacitors for hard starting motors note that some pump motor noise including an unpleasant whine or hum is perfectly normal.
This commonly occurs if the sump dries out often with exposure of the base.
Swimming pool pump won t start pump is humming.
The pressure tank and well pump should be wired on the same breaker so if you find a label for well or water pump that should be the power shut off for the pressure tank too.
This article series gives diagnosis repair advice for well or water pumps controls tanks water pressure water flow water quantity.
When a water pump only hums that is it s not moving water the problem could be a bad pump motor bad motor start capacitor low voltage or indeed as you speculate if the pump has lost prime perhaps due to a leaky foot valve it may also seem to be doing nothing but humming a monotone.
Try turning off the pump and priming it manually.
Worn bearings in the motor shaft can also cause screeching noises when the pump is running.
Once you re sure the power is off to the pressure tank you can test with a non contact voltage tester follow these steps to perform basic.
Don t buy a new pump check to see if your capacitor is causing th.
But if your pump was cycling on and off too much or as your installer says blaming you the victim over use i suspect the original installation was improper.