What kind of noise and is it just one tire?
Yes. A tire that is "scalloped" can make a rumbling noise.
What would cause a grinding noise after a tire is replaced and the brakes are not worn?
Have that tire checked sometimes the belts inside can break and cause a thumping noise
The Grinding noise in the passenger rear of a 2002 Explorer is most likely either a bad wheel bearing, or a brake problem. Check the brakes then the bearing to find the cause.
Bad tire? Try in another location on vehicle
I think you may have a problem with your shock absorbers in your rear tire, mate. either that or you have somethinf caught on your wheel, or there a pebbles in your hubdcap.
Your tire may be making a squeaking noise due to low tire pressure, worn-out brake pads, misaligned wheels, or a problem with the suspension system. It is important to have your tire inspected by a professional to determine the exact cause of the noise.
nail in tire, or rock
Sounds like rear brake is locking up, on which ever side is smoking.
Bad Tire or wheel bearing, rotate the tires to the front if the noise follows its the tire if remains in rear its the wheel bearing
Passenger side rear tire? Someone is doing burn-outs.
This can be a broken belt in a tire, low tire pressure, or defective wheel bearing. Jack up the rear and rotate the wheels listening for any noise. Inspect the tire for uneven wear or anything out of the ordinary. Look for bulges in the sidewall, I would suspect you have a tire problem.