Need some help with the math
This is just an idea I had regarding tire size and gear ratio.
Let's say that my Ranger has a stock rear end with 3:73 gears and stock 225/70/14 tires. If i wanted to keep my stock tires and go to a taller gear ratio I could change to a 3:45 just by swapping in another rear end. But let's say I need new tires anyhow. Is there a tire size that would give me the same (3:45) gear ratio or would it be so large that it just wouldn't fit in the wheel well? If there is a size that actually would give the desired results then you could fix the speedo at the same time by changing to a 3:45 speedo gear.
Something like taller tire (x)+3:73 gear=stock tires+3:45 gear.
Also swapping the rear end for better gears would mean more energy used from each stop sign/light. Would the loss be relatively the same if you changed the gear ratio by changing tire size instead of changing rear end gears?
Something like:
if stock tires+3:73 gears uses (=) a certain amount of energy (E)
and stock tires +3:45 gears uses (=) more energy (mE), then does a taller tire (x)+3:73 gears use more/less/same energy as stock tires+3:45 gears?
I guess what I am getting at is: is there an advantage to changing the final drive ratio with the tires rather than rear end?
For my driving situation the ultimate would be a rear end swap to 3:45's but I was wondering if there was a tire size that I could go to that would make the equation look like this:
Stock tires+3:31 gears=taller tires (x)+3:45 gears
I am planning a change to 3:45's, but when my tires DO wear out I would love to switch to a tire that would give me the equivalent of the 3:31 gear ratio. That is, if such a tire exists. Then all I would have to do is switch the speedo gear to a 3:31 and my speedo would be in sync and I would have effectively raised my final drive ratio again.
Is there a simple formula like:
Tire size(TS)+Rear Gear(RG)=Final Drive
or
Tire Diameter(TD)+Rear Gear(RG)=Final Drive
If there is then I could play around with different tire sizes and gearing to see what options are out there.
Thanks for the help.
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