The BFGoodrich website gives you the rpm's (revolutions per mile) of their tires, if you look at this spec chart you will see that the 315 is listed at 601 rpms. This means that when that tire has rolled 601 complete revolutions your vehicle will have traveled 1 mile. If you look at that same chart and find the factory size tire (265/70R17) it is shown to have an rpm of 654, this is a difference of 53 rpms. Our speedometers are calibrated to a factory tire spec, this calculation is based on rpms of the tire. The output shaft of the transmission will turn, at a constant speed, the same number of revs per mile every mile.
There is 63,360 inches in a mile, dividing 63360/rpm of said tire size will get you a circumference of 105. 42 inches on the 315 and 96. 88 inches of cicumference on the stock tire. Now, by multiplying the 53 additional rpms of the transmission by the circumference of the taller tire, 105. 42*53 = 5,587 additional inches the vehicle has traveled for every recorded mile of the transmission.
Isn't this clear as mud or what?
same principal as above post I was just a slower typer.