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https://en.wikipedia.org/wiki/Gear_ratio
First off, the retarder goes somewhere in there and second, let's say the flywheel & clutch, the driveshaft and the axle are 1:1 (n RPMs in : n RPMs out). The power transmitted is now : engine > gearbox > differential > wheels.
The differential (https://www.google.fr/search?q=truck+differential&tbm=isch) is on the rear axle, it is driving the rear wheels and it is driven by the driveshaft. A ratio of 2.71:1 means that for every revolution of the driveshaft, the wheels are gonna do 1 / 2.71 of a revolution - or - for every 2.71 revolution of the driveshaft, the wheels are gonna do 1 revolution.
The first number, same logic. The first gear has a ratio of 11.32, ergo 1 engine revolution = 1 / 11.32 revolutions of the driveshaft - or - 11.32 engine revolutions = 1 driveshaft revolution. Same principle for the 2nd number. NB: if it is below 1, it means the driveshaft goes faster than the engine.
So, a gearbox 11.32-1.00, diff 2.71 @ 1500 RPMs would make the rear wheels turn @ 49 RPMs and a truck's tyre 315/70R22.5 @ 49 RPM would be going at ~ 5 MPH.
(ELI5-Nothing) Kinda yeah, bigger numbers would be useful for heavy load but a pain for light load as you would rev faster and shift gears like Fast & Furious
Is there a point in choosing one or the other option to achieve that?
Higher diff : lower top speed, lower RPM but higher fuel efficiency
- you can select higher numbers in transmission, means lower top speed, but better startability with heavy loads.
- or you can select higher numbers in diff gear, as also mean lower top speed, but better startability with heavy loads.
Which of those two choices, highter numbers in transmission, or higher numbers in differential, would be the better choice - what are the pros and cons of each choice.
I'm using a 2.8 diff and can use the 12th gear from 80 km/h upwards, I like that.
Thank you for such a gread explanation!