There could be a problem in the steering linkage but most likely, the Power Steering pump is bad or low in fluid
I would guess that it is the wheel bearing. is it a grumbling sound or an all out grinding? If it is or was a grumbling sound and has turned into a grinding it is probably the wheel bearing.
Yes they can make a grinding noise, if they are bad.
What would cause a grinding noise after a tire is replaced and the brakes are not worn?
Power steering box... Steering fluid level low,dirty or needs replacing... If power steering fluid is white then your box is damaged...
Normally a rusty rotor would not make a grinding noise. A grinding noise from the brakes usually indicated that the pads or shoes are worn down.
The steering gear box, probably. If it's power steering, it may be coming from the pump itself. This answer could be one of many things, if the grinding only happens while you are driving. Check to make sure your power steering fluid is full. Mine has a leak and every couple weeks it starts to grind when I turn right.
most grinding noises that come from turning is usually a cv axle that needs to be replaced. Can also be a bad wheel bearing. If you hear the grinding when turning to the right then the left front wheel bearing is bad.
Your question is too broad. Expand on it a bit. When does it make the grinding nose, right after startup, after it's been running a hile, etc. where does the noise seem to originate from?
your barrins in the wheels
if you are completely stopped and you here the noise only with the vehicle running the most likely grinding noise would be your power assist system for brakes and steering check fluid level, if not than transmission would be the next choice
bad rotors
Check out the bearings in the steering column and the knuckles in the steering shaft