What could cause a grinding or squealing noise from a car?

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I had an extrememly loud grinding soun under my hood one day when my car ran hot i new it was my water pump and i tried to get home and the car stalled out and would no longer start because it shredded the timing belt. I would have someone look at the water pump and the alternator.

Answer

Remove the fan belt and start the engine to eliminate alt,water pump. Can do the same for power steering to eliminate the pump. If you still have the noise, the noise is normally engine or trany.  

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If it's a grinding noise it can also be one of the bearings in your wheels. Don't take apart your engine just yet. :)  

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I had this grinding or whirring noise when driving my 86 crx Honda hf model. The solution was replacing the berring in the front wheel hub. Upon inspection the hub itself did not need replacing only the berring. It now is free of the noise.  

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I have a 2002 Chevy Cavalier and I also replaced the wheel hub bearing assembly. YOU CANNOT take the bearing out of the hub, it is an entire assembly.
http://www.autozone.com/servlet/UiBroker?UseCase=S001&UserAction=viewSimpleDiagInfo&Parameters=info
i agree check the bearings first... you can do this your self by jacking up the front of the car so the tires a off the ground so you can move them. Once the tires are off the ground you grab the top and bottom of the tire and see if it has play in it ( try to move the tire top to bottom ) if you have play then you need to service your wheel barings or replace them
-your brakes can also make grinding or squealing noises but both at once would not be likely


ANSWER

I had mine just like that. and I remove the 2 belts, remove the water pump and put a new one and you can save the old coolant as long as you did not put it to the dirty pale. It's going to run just like normal again.