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From: Life is just one big track event. Everything before and after is prep and warm-up and cool-down laps
Cruise-In III Veteran
Cruise-In IV Veteran
St. Jude Donor '12
Do a search on "rear wheel bearing"
To check - using the jack point near the rear of the door raise the car until the rear tire on that side is off the ground. hold the tire at the 12 and 6 o'clock position push in and pull out on the tire. If it moves - wheel bearing is shot on that side. repeat on the other side.
I have a 1993 and when a make a left turn I hear a grinding noise in the front passager side and nothing when turning right. I was think driveaxle.
You said the noise is in the right front, but then you mention drive axle, which is in the rear. Either way though, vette'sunlimited is right. Check your wheel bearings, all 4 of them. Keep in mind though, it may seem like it's coming from the right front, but actually be the left front. I chased one like that last year on another car.
Generally with a wheel bearing, the noise will get worse when turning (puts more load on bearing).. If turing left is noisier, the right bearing is the cause, turning right is noisier, the left bearing is the cause. It can be harder to find front to rear but if you also feel a buzz in the steering wheel, it's probably a front (but has to be bad to feel it in the wheel).
You also won't always feel it without weight so pulling a wheel and feeling by hand may not show you anything, but might. Pull the front wheel and caliper and rotate by hand, if you feel any slop, or binding/ratcheting, you've found it. Rear is too hard this way due to the drive line..