Read me first: Upon writing this I feel I have gotten this wrong, I'll leave what I've written so far anyway however I have noticed I have not taken engine revolutions into consideration. Which would void my calculations and all the maths I did yesterday
. Anyhow I believe the correct way would be:
Turns of Crank: 10
Turns of Wheel: 5
Circumference of Tyre: 64.75
Tyre Fractional Turn: 35
64.75 (Tyre Circumference) / 35 (Fractional Turn) = 1.85
5 (Turns of Wheel) + 1.85 (Fractional Turn) = 6.85
10 (Turns of Crank) / 6.85 (Turns of Wheel) * 2 = 2.919708029197080291970802919708
Essentially meaning it's a 2.91 Diff, I'm certain this new method is correct, and my old one was wrong as I was in such haste to get it done I never totally thought the maths through. This information can still be used to work out worm and pinion sizes though such as:
2.91 * 7 / 15 * 30 = 40.74
2.91 * 7 / 15 * 50 = 67.9
2.91 * 7 / 15 * 70 = 95.06
Obviously if you find an actual drive ratio your going to get closer to my over-read so using 50 only to minimise calculations:
2.95 * 7 / 15 * 50 = 68.83
3.105 * 7 / 15 * 50 = 72.45
Which is still within margin of error for my speedo, although I have only tried that pinion size and I'm sure I can find a closer match if I do my entire sheet again
. As yes I did calculate every worm and pinion just to safe.
Obviously I now have multiple diff ratios to work with to find the closest one to my over-read, meaning double the calculations. You could minimise this for example by doing 10 - 15 or even 30 turns of the crank, to get a more definitive answer but I absolutely refuse to jack the car up again as the damn thing is too low for a jack (suspension issues).
Thanks to AndrewT however as without you posting that I wouldn't have 2nd thought it.
Below in quotes (what I was writing when I noticed my mistakes)
Hey,
Firstly sorry I never replied earlier I read it but never replied as my phone died.
Anyhow, the reason the calculations aren't working for you is because you've done them backwards, and the calculation is basically saying how many times can I get this number into this number. So 35/64.75 would be 0.54 or the inverse calculation of what we wanted as we want to do the whole wheel divided by the fraction which is 1.85. This is a easy mistake to make as multiplication can be done in any order but division can't.
Therefore you need to do Wheel Circumference (64.75) / Wheel Fraction (35) + 5 = 6.85 then divide by 2 = 3.425 (I will explain).
The reason you divide by 2 is because when the car is moving under its own momentum both of the wheels are turning, when doing this test you would want to have just one wheel in the air and therefore one turn of that wheel, is only HALF a turn of both wheels. Therefore 6.85 of one wheel is 10 turns of my crank, or 3.425 turns of both of my wheels is 10 turns of my crank.
I should also mention that the car MUST be in 4th doing this test, as this means the main shaft of the gearbox and the crank on the engine are then turning at the same rate due to this being the 1:1 ratio in standard 4 syncro Box. If you have less or more gears you'd need to find out which is the gear with the 1:1 ratio.
Also note that 3.425 is not accurate to a mini drive ratio, this is likely due to slight inaccuracies in the test so your result is never going to be perfect by with all the diff ratios of standard and aftermarket diffs known you can easily look through then (especially on guesswork's site) and work out which is closest to your result. I went with 3.44 as its only 0.015 off.
I also recommend taking the plugs out to do this as then your not having to compress the engine (likely easier by rocking the wheel) which may skew your result due to having to move the wheel with force to compress it. I also recommend a bright chalk on the crank as this means not having to find TDC or BDC and you can just use the bright chalk mark. Make sure on the last rotation of the crank you align it PERFECTLY with the chalk mark you've made, and not run past it as this can over or undershoot your result.
In order to get the circumference I use a bendy tape measure or a ribbon which you can then measure to get the result.
In order to get the wheel fraction I recommend going past your first chalk mark and then one your dead on the crank at 10 rotations make a 2nd chalk mark and you measure from the 2nd mark to the first!. You also measure the way the wheel turned and not the part of the wheel that hasn't passed yet. (I'll put an image).
I'll also mention that 10 might not be your number if your looking at close diff ratios like 3.1 or 3.2 you might have a bit of trouble working this out unless you do more turns of the wheel.
Edited by Hewlett_T, 10 December 2016 - 08:59 PM.