This applet calculates the proper speedometer driven gear based on Jeep model, tire size, and ring and pinion. It is assumed that the Jeep is has the stock speedometer and transfer case to perform this calculation. The program has been very accurate based on my research and experience, but I won't take any responsibility for your speeding tickets :-). Check the caveats at the end of the page.
Jeepers are perpetually modifying their vehicles. Sometimes, these modifications make speedometer recalibration necessary. Any change in the ring and pinion or tire size can throw off the speedometer. The simple way to calculate the proper speedometer driven gear is by setting up a ratio. The ratio should look like this:
newGear * newTire = oldGear * oldTire or newGear/newRingAndPinion = oldGear/oldRingAndPinionSolve this ratio for newGear to determine the proper tooth count for the speedometer gear. For example, if you had 225/75R15 tires (approximately 28.2" in diameter) and you swap in 33s, you would set up the following ratio:
newGear * 33 = 27 * 28.2 newGear = (27*28.2) / 33 newGear = 23.07 (23 tooth gear)
The calculation for a ring and pinion swap from 2.73:1 to 4.27:1 would look like:
newGear/4.27 = 27/2.73 newGear = (27/2.73) * 4.27 newGear = 42.23 (42 tooth gear)Determining the old speedometer driven gear is very simple. All that needs to be done is remove the speedometer cable (typically with a pair of pliers) and remove the speedometer gear housing which is normally held in by one bolt or his threaded into the transfer case tail housing. Newer Jeeps come with an electronic speedometer sending unit that uses a wire attached to the tail housing instead of a cable.
DrivenGear = (DriveGear*DiffGear) / (TireDiameter*MilesPerInch*Pi*SpeedoRevMile)The DrivenGear turns the speedometer cable. It is driven by the DriveGear inside the transfer case. The DiffGear is the ring and pinion ratio (e.g. 4.10 for 4.10:1). In this formula, it is assumed the TireDiameter is in inches and this is convert this to miles. The diameter of the tire in miles is muliplied by Pi (3.14 or so) to get the circumference. Every speedometer should have a sticker or writing on the back with the number of revolutions of input it expects per mile. This is typically around 1000, in fact CJs with the Dana 300 and the Dana 20 transfer case have a speedometer that expects 1000 revolutions of input per mile.