Stock Grand Cherokee Tech. All ZJ/WJ/WK Non-modified/stock questions go here! ZJ (93-98), WJ (99-04), WK (05+)
All ZJ/WJ/WK specific tech questions asked here!

Why are higher speed sensor tooth counts recommended than the math seems to indicate?

Thread Tools
 
Search this Thread
 
Old Oct 7, 2019 | 05:59 AM
  #1  
Hatsuwr's Avatar
Thread Starter
Member
5 Year Member
 
Joined: Aug 2016
Posts: 233
Likes: 4
From: Maryland
Year: 1996
Model: Grand Cherokee
Engine: 4.0 I6
Default Why are higher speed sensor tooth counts recommended than the math seems to indicate?

From what I understand, pinion gear tooth counts can be calculated as: (5,280 * 12 * DriveGearTeeth * DifferentialRatio) / (pi * RevolutionsPerMile * TireDiameter)

With the ZJ having 13 teeth in the drive gear, a 3.55 differential ratio for my I6, and our speedometers assuming 1,000 revolutions per mile, that means pinion tooth count should be ~931/TireDiameter

This gives 26 teeth for 36" tires up to 34 teeth for 27" tires. Most charts I see indicate 1-2 teeth more than my calculations give though, meaning their recommendations would indicate a slower than actual speed.

So two questions:

1. Am I missing something in my calculation? Only thing I can think of is tire deformation or accounting for future tire wear maybe... Still, I would think the desire would be to err on the side of indicating a higher than actual speed.
2. Is the speed sensor used by anything besides the speedometer/odometer/fuel economy indicator? Anything regarding engine or transmission performance? If so, and if my numbers happen to be correct, would they benefit from having a more accurate reading from the speed sensor?
Reply
Old Oct 9, 2019 | 04:13 PM
  #2  
Noah911's Avatar
Banned
 
Joined: Feb 2019
Posts: 1,359
Likes: 169
From: NC
Year: 2004
Model: Grand Cherokee (WJ)
Engine: 4.0
Default

I don't think you are missing anything by your calculations. There is an exactness to the math in these equations. The math makes it possible to derive an appropriate tone wheel tooth count in order to sense the correct speed.

However, there are other factors which influence the decisions being made for the tone wheels actual resulting tooth count. Greater numbers of teeth will produce a higher frequency output signal. This allows a better resolution and higher signal update rate. The number of teeth is chosen as a trade-off between low-speed sensing accuracy and high-speed sensing accuracy, and cost..
Reply
Related Topics
Thread
Thread Starter
Forum
Replies
Last Post
texastaz38
Modified XJ Cherokee Tech
8
Sep 15, 2018 10:10 PM
OP_Rover
Stock XJ Cherokee Tech. All XJ Non-modified/stock questions go here
3
Jul 31, 2013 11:16 AM
84jeep
Stock XJ Cherokee Tech. All XJ Non-modified/stock questions go here
8
Feb 27, 2013 10:57 AM
GregC
Stock XJ Cherokee Tech. All XJ Non-modified/stock questions go here
10
Jul 5, 2011 06:09 PM
ToyComa
Stock Grand Cherokee Tech. All ZJ/WJ/WK Non-modified/stock questions go here!
1
Mar 20, 2010 05:47 PM

Currently Active Users Viewing This Thread: 1 (0 members and 1 guests)
 



All times are GMT -5. The time now is 06:04 AM.