Except for tread design, I don't think a tire cares which way it runs. Bias tires are reinforced by 45 degree cords rim to rim that overlap one another. That is what plies are all about. Radial cords cross at a 90 degree angle. It may have been pertinent at one time, but modern tires have steel cords now and most have a belt that overlap the cords and runs around the circumference.
I understand the weight transfer issue, but rear tires seem to be able to be used for braking as well as acceleration. If you have a directional tire, it should run in the direction of the arrow, as that is what provides the best grip, based on the tread design.
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itsatdm screwed with this post 10-03-2012 at 02:31 PM