I just put a new back tire on my 91 1500 se. I put it on the main stand turned the wheel did not see any wobble. Stared it up and put in gear and look at it and it had a wobble in it.The newtire was balanced when it was put on. I don't know if the old tire wobble or not I never looked at it.Could the wheel be bent? The wheel bearings seems to be ok.
Shouldn't wobble, as Big E mentioned be sure it's properly seated. There should be a line molded into the tire that shows just inside the wheel rim. That line should be at an even distance from the edge of the rim on both sides. If it is and your wheel still wobbles you may have a defective tire. That's assuming there's nothing wrong with your rear wheel itself. A rear wheel bearing failure or a wallowed out bearing recess in the wheel could cause the wheel to wobble. That should be easy to check by turning the wheel while holding a screwdriver or some other index close to the rim edge and making sure the gap between the end of the screwdriver and the rim doesn't vary as the wheel turns.