Hey Big Twin,
Interesting problem you have there. I don't know what the mechanical or electronic cause of it is, but I can suggest a workaround for you:
1- Find a road with mile markers on it, drive such that you are doing 3,000 RPM in fifth gear as you pass the first marker, maintain a steady 3,000 RPM till you pass the second marker, note the time it takes to go from one marker to the next or use a stop watch.
2- Calculate the speed you were driving at by dividing 1 by the number of decimal minutes it took you to drive the measured mile and multiply that result by 60. The answer is your speed in MPH. Use at least 4 decimal places so as not to get rounding errors.
Example: It took you 1minute and 20 seconds to drive the measured mile, which is equal to 1 + (20 ÷ 60) = 1.3333 minutes.
1 ÷ 1.3333 = 0.7500
0.7500 x 60 = 45MPH
If it only took you 51.4 seconds then:
51.4 ÷ 60 = 0.8571 minutes
1 ÷ 0.8571 = 1.1667
1.1667 x 60 = 70MPH
Knowing the speed you were driving at, divide it by 30 and that tells you how many MPH you do per 100 RPM, or divide by 6 to know how many MPH you do per 500 RPM.
So 70MPH ÷ 30 = 2.33MPH per 100RPM in 5th gear
or
70MPH ÷ 6 = 11.67MPH per 500 RPM in 5th gear
Then work out what RPM you would be at doing whatever speed limits you want to respect in 5th gear.
The same calculations can be performed for any and all your gears, though I wouldn't worry about anything except 3rd, 4th & 5th. A simpler way of figuring out the other gears is to note the RPM increase when driving at a specific known speed and shifting to a lower gear, or you can use the gear ratios from the manual, as long as you know they haven't been changed.
For example, if you are driving at 60MPH at 3,000RPM in 5th and you downshift (without engine braking or accelerating
) and are now driving at 60MPH at 3,500RPM in 4th gear, you know that you can add 500RPM to the RPM for all your calculated speeds in 5th gear and you will get the RPM in 4th gear for those calculated speeds.
When I was a student and couldn't afford 'unnecessary' repairs I drove for a few years without a speedometer (cable or drive gear went), just using my tach and the system above, it doesn't even matter if your tach is accurate as long as it is consistent.