When i accelerate I hear a grind noise and when I stop there is a noise in or around the power steering pump

Might be a bearing in one of the accessories, such as the alternator or power steering pump. Try to isolate to a specific location, especially as it gets worse.

The technique I always used to identify where such a noise was coming from was to use a very long screwdriver (2 feet long), while the engine is running. CAREFULLY touch the screwdriver end to each pulley or other object under the hood, and put your ear to the handle. The device making the noise will become very clear.

It could be AC pump/clutch, alternator, water pump, power steering pump, etc.

Look under the hood.. while some one is turning steering.. probably a Power steering pump going bad..

take the transmision cover plate off the bottom and check your flexplate for cracks or loose bolts between the flex plate and the torque converter..also chheck your motor mounts.. you may have a broken mount allowing the fan to rub on the shroud..

Automatic or manual trans? Manual trans could be throwout bearing. Other moving parts at idle that have bearings - alternator, a/c compressor, water pump. Auto parts store or harbor freight sells stethoscope to listen to stuff like that. Use it to determine where sound comes from. Careful when using near moving parts.

I think it would be the pump but if it is not leaking and it has the same level, I don't know.

sheck the power steering pump

sounds like the power sterring pump check valve is failing because it only when you turn, try to turn the wheels standing still to verify the noise, if noise present, replace the ps pump.

That is the power steering belt routed around pump pulley that is slipping . The power steering is located behind the steering column, replacing and re-routing the belt is not an easy repair.

If instead the whining noise comes from under the hood , that is the serpentine belt, that is easier to repair.

the power steering only turns good when your accelerating then the pump is bad .it will not build pressure unless the pump runs faster ,replace the pump its about $300 installed at a shop.please rank this thanks.