Sorry B34R but you missed the final drive ratio off your equation.
You are, of course quite correct, my bad!
I went and did something interesting though that
@Hippo might be interested, mainly because I'm sad and kinda like math problems.
I've gone and created a hippo drive train simulator in excel...
The first half of it is purely setting up the gearbox ratios, as follows:
The first table is all about the pure gearbox ratios - gears and final drives charted.
Table two combines the ratios and final drives by model of freelander - and also includes ird ratio to Front Wheel, ird ratio to Rear Wheel and ird ratio to PropShaft
I've then pulled the engine peak torque figures into a little table, double checked the IRD ratios match with the thread where
@Hippo chopped up a couple of IRDs and counted teeth and plumbed in the diff ratios.
This then feeds into the second half of the sheet:
The first table on this one is engine ratios to shaft ratios F=Front Driveshaft, R=Rear Driveshaft, P=Propshaft.
Using the engine peak torque table from the beginning, plumbed in this shows by engine and gear what the maximum torques delivered to the front and rear wheels are and the propshaft in NM
"Shaft RPM Vs Engine RPM" is self explanatory, it was an example of the rotating speeds, which dynamically work themselves out based on the RPM that you enter into the RED box.
The cool bit is the final table "Shaft Slippage" which dynamically works out the shaft speeds on both sides of the VCU and then deltas it. I've used Hippos real world tyre measurement to calculate the MPH.
Front propshaft rpm is calculated from pure ratios, this is fed from the engine RPM and fed through the gearbox ratios so
we are assuming that the vehicle speed is set by the front axle as that's where the power is delivered from in engine RPM.
Rear propshaft is calculated by: Calculate front wheels RPM from engine speed ->
assume front wheels are spinning at same speed as back wheels if VCU is functioning correctly -> multiply rear axle speed by rear diff ratio to give the prop output speed. All of this will calculate dynamically based on engine speed.
It's interesting of note that at motorway speeds the slippage gets quite bad - by the time you've got up to 70-80 mph the VCU is doing one slip rotation every 20-25 seconds... (note that different cars aren't slipping different amounts at the same ROAD speed - they're slipping different amount at the same ENGINE speed - eyeball the speed column before looking at the slippage RPM.)
If anyone wants a copy of this spreadsheet I'm happy to hand it out for tinkering, unless you're all not as sad as me!