Ok so after studying that video it seems the diff pinion is 30t and the diff ring gear is 48t, there is also an extra 20t gear between the spur and the diff pinion plugging the diff gear
You have this arse backwards.
The input gear is 20t.
The idler gears is irrelevant.
The diff gear is 48t. Why are you telling us this when you are the one that asked?
Gear box ratio is 48/20 =
1:2.4
values and a transmission rate of 1.5 for the extra 20t gear and the 57T spur and 14t pinion into this calculator with a 780kv motor:
The input (drive gear) is 20t
The diff gear is 48t
The reduction is 1:2.4
1:2.4
The idler gear does not alter the transmission ratio in the slightest, so you're plugging incorrect numbers into a generic calculator. Needlessly so - because essentially, you've completely ignored accurate numbers already in front of you.
You and only you will know what pinion and spur you want to use. I calculated it for you, even though I erroneously thought that it is not possible to achieve that ratio. Given that newer electric versions have adjustable motor mounts, 14/57 is possible, but you wouldn't want to use that ratio for the reasons already stated.
14/57
Is 1:4.07
4.07 x 2.4
FDR is 1:9.768
This has already been posted above.
What are you trying to achieve here?
Establishing whether the 780kv motor will exceed the performance envelope in an 8S Baja, if you run 12S with the smallest pinion?
Answer: Possibly.
But why would you run such a low gear ratio with all that surplus torque/HP on tap in the first place?
Again, it's a solution in search of a problem.
https://www.rctalk.com/rc-tools/rc-car-speed-calculator/
Shows a speed of 79.5 mph at 50.4v. So the 780KV is a no-go I need to return it and get the 580KV.
Also the stock 750kv motor in the RTR on 8S shows 50.96mph on a full 8S pack.
Dropping to a 580KV motor with the stock gearing shows 59.12mph on a full 12S pack.
The actual, most accurate theoretical speed for 50.4V on the 780kv motor using 14/57 is 73mph Facts. (Real world after losses and sag would likely be closer to 70mph - if you could hang on to it, which is highly unlikely).
8S = 33.6 x 750kv is 25200rpms
14/57 = 4.07
FDR = 9.77
165 tyre diameter
518.43 circumference
Mm/rev = 53.06
25200 x 53.06 x 60 / 1000000 = 80.23 kph
49.85 mph (Based on 165 mm diameter tyres)
(Which coincidentally is almost exactly the same speed as my Fuelie 26 running 17/57 and hitting 20500rpms)
Take home.
Problem exists between keyboard and chair.
ID 10 T error.
Conclusion:
If you plug in numbers that are wrong into a general RCTalk calculator, you'll get 'wrong' out.
But also, if you confuse trying to reduce top speed with preventing a motor over-revving, (by lowering the gearing), you're going to encourage the outcome you're attempting to prevent.
If you don't want to over rev your full-size car engine - don't drive around in first gear for the entirety of your journey.