I just got new 31's (they actually measure 31.5 and rub like crazy but that's another story) and I wanted to figure out what it will do to my mileage. Below are the calculations I went through, below that is the reasoning.
The short version (all in inches):
1. New Circumfrence minus Original Circumfrence
2. Old Rev per mile minus New Rev per mile
3. Line 1 x Line 2
4. 63360 / Line 3
5. Answer from line 4 will give you how many miles you will have to travel to lose one mile at the odometer.
I took the circumfrence of the oem tire (28.7"xpi=90.1) and then subtracted it from the circumfrence of the new tire (31.5xpi=98.91") and came up with a differece of 8.83".
Then I divided the number of inches in a mile (63360) by the old and new circumfrences and figured how many revolutions per mile (at the odometer) for each size (703.08 old, 640.58 new) which came out to be 62.5 less revolutions per mile on the new tires.
Then I figured since the new tires go 62.5 revolutions farther than the old tire before the odometer registers an mile, I multiplied the difference in revolutions by the difference in circumfrences (62.5x8.83=551.875") to find out how much farther I now go for every one mile.
Finally, to make it tangible I divided the inches per mile (63360) by the excess distance traveled per mile(551.875") and figured... <b>I will lose one mile on the odometer for every 114.81 miles it registers.</b>
Hopefully this is correct. If not, let me know so I can fix it!
P.S. My calculated circumfrences were a little off from the
Tire Size Calculator I initially used so I stuck with my own figures.