Loud whining noise when accelrating or breaking

Is the whining noise coming from the engine compartment where the compressor is located or is the noise coming from inside the car? If the noise if coming from inside the car it could be your blower. When a blower wears down the bushing is the first thing to wear down and it begins to have play. That makes the blower/fan vibrate making a loud whining noise. Replacing the blower could solve that whining noise.
If the noise if coming from the AC compressor, it also could be a bad bearing within the compressor.

The engine will have to be removed and inspected, to find out what has happened. Big expense, may need replacement engine.

remove the belt and start the engine ..IF THE NOISE disappear it might be idler bearings that driven by belt but if the noise still there check the pcv valve..

Duplicate question.

It is not normal for them to make loud noises. Sounds like it is strained, therfore making a whining noise. Not normal.

Check the idler and tensioner pullys for your serpentine belt. I suspect the whining noise heard earlier was due to the fact one was getting a bit stiff or rough turning. When you gave it that extra fuel, the sudden load may have finished it off. Sometimes they lock up, and sometimes they fall apart. Check those items first.

AWD disabled from a sensor unit in rear differential that senses high temp. This thing is over $300. Whine is from fluid. Need to change fluid. This versatrack fluid is about $40 per bottle and you need 3 bottles. Thumping noise is from loose rear knuckle bushings. These are part of the entire rear knuckle assy. and you must replace complete knuckle.

What kinds of noise?  Whine or roar?  Try to explain it the best you can.  Where is the noise coming from, front/back?

check alternator bearings for noise

Well you can remove the sensor in the diff and make sure that looks ok they g obad quiet often also woulnd not hurt too remove the rear diff cover and inspect the rear end if it is whining and you dont see anything wrong i would refill it with lucas oil/grease and start praying check the pinion too and see if it has any play in it