Welcome to the forum. Not familiar with the 1500, but most of the Wings have a wobble at certain low speed conditions. Keep watching for more replies, a mod might even move your post to the TECH section... :gunhead:
Welcome to the forum.
Some more details would help us to help you, like what speed does the wobble come in at, was it there before you replace the tyre..
Was the wobble there before you had the new tyre fitted? If not, get back to the tyre store as the tyre is either a bad one or isn't fitted right. The wheel could also need balancing.
Welcome, WelcomeTo Steve Saunders GoldwingForum.If you have any questions no matter how trivial they may seem this forum is the place to ask them. What I have noticed is that some of the peoplehere were :15red:'sin their previous lives and can answer any question you have. Theforums that I get the most from are::
Some tires just wobble!
D250 my wing had on it when I bought it used had the decel wobble, from 45 to 35mph. When I replaced it with an Avon Cobra the Wobble was gone. All was good until I tried a Metzler. Wobble was back from day one.
I decided it was time to fix the problem, so I did what most do. Tore the front in apart and replaced the junk steering head bearings mother Honda uses with "All Balls" tapered bearings.
If your tire wobbles all the time it is either a bad tire, not mounted properly, or damaged during mounting.
I agree with Rocketman... you said it wobbles with a "New EIII".... there is your answer. Another EIII may solve it. I did not find that to be the case with my 2005 Wing and several others in the area. Too many out of round EIII's. Finally went with Bridgestone G 850. Have warn out eight of them. All but one were great. The one induced the wobble like the EIII. My thinking is that all tires are not the same, and a new tire does not mean it's a good tire.
Also... the rear tire condition can also induce the wobble. But then there are also a zillion other things that induce it too. But if you mount new tire(s) and suddenly have the wobble symptom.... it's a good bet the problem is tire related.