besides making a sqeeling noise , or leaking from the weep hole , you can wait until the thermostat is open ( top radiator hose will be HOT ) and squeeze the top radiator hose , when you stop squeezing the hose if there is no surge of coolant flowing through the hose then your water pump is not actually circulating your coolant and has a bad impeller inside the water pump
One of the things I check is the pulley or impeller mount by rocking it side to side and listening for any noise or lost motion. there shouldn't be any at all.
If a water pump is bad they usually leak coolant
If the water pump is bad ussually the heater will stop giving hot air .
Water pump shaft loose? Water pump leaking? Water circulating in coolant system?
it wont work
if you are talking about the weep hole in the water pump. that hole will let water out when the seals in the water go bad. that will tell you to get the water pump replaced.
It makes alot of noise and overheats, leaks out of bottom of pump
your car will overheat, there will be low pressure on your system.
Water leak at weep hole at bottom of water pump? Shaft loose? Bearing noise or wobble when engine is running?
thay usually leak at the bottom of pump out the releif hole. or if it is noisier than usual it can go bad.
Somewhere on the underside of the pump near where the shaft that the pulley is mounted on, there will be a small hole in the pump. This is called a weep hole and water will leak out of there slowly if you have a bad pump.
from a non-mechanic but usually there is some coolant leakage
The most obvious symtom would be overheating of the engine.