Theory and Practice
Posted: Tue Jan 13, 2009 11:33 am
Greetings:
In Theory, theory and practice should be the same. In Practice, they are not.
All this talk about 200 MPH Sprees got me doing Math. Ugh!
I actually went out and measured my 2.75x10 wheel and tire this morning. Just under 16" diameter, 48" and change circumference. Let's call it 50 to compensate for the tire's centrifugal expansion at the prodigious speeds we're about to discuss. I'll ignore tire slippage for now.
If the Axle spins at 1 RPM, Flash moves 50 inches. In an hour at that rate, he goes 3000 inches. that's 250 feet, or 0.04735 miles. This will be our Working Factor.
Now assume Flash's engine is capable of 10,000 RPM. The Service Manual says the Variator can "overdrive" the front Drive shaft of the tranny by 0.8:1 so at that engine speed the "D" shaft will spin at 12,500. Let's ignore fudge factors like clutch and belt slippage for now too.
Flash's stock gears are 12/34 Primary and 12/47 secondary, for a ratio of 11.097:1. I counted them. I also believe there is lots of mis-information on this Forum and elsewhere when ratios are discussed. The only way to be sure is to count the teeth and do the math.
Back to my tranny, which is abuzz with 12,500 RPM in and -let's see divide by 11.097, carry the 4 - I get an Axle speed of 1126 RPM.
Remember the Working Factor? 1126 times .04735 = 53 MPH and change.
Figure in those slip factors now, maybe 5-10% wasted. Call it 50 again.
You can plug in your own numbers to see what yours'll do...
In Theory, theory and practice should be the same. In Practice, they are not.
All this talk about 200 MPH Sprees got me doing Math. Ugh!
I actually went out and measured my 2.75x10 wheel and tire this morning. Just under 16" diameter, 48" and change circumference. Let's call it 50 to compensate for the tire's centrifugal expansion at the prodigious speeds we're about to discuss. I'll ignore tire slippage for now.
If the Axle spins at 1 RPM, Flash moves 50 inches. In an hour at that rate, he goes 3000 inches. that's 250 feet, or 0.04735 miles. This will be our Working Factor.
Now assume Flash's engine is capable of 10,000 RPM. The Service Manual says the Variator can "overdrive" the front Drive shaft of the tranny by 0.8:1 so at that engine speed the "D" shaft will spin at 12,500. Let's ignore fudge factors like clutch and belt slippage for now too.
Flash's stock gears are 12/34 Primary and 12/47 secondary, for a ratio of 11.097:1. I counted them. I also believe there is lots of mis-information on this Forum and elsewhere when ratios are discussed. The only way to be sure is to count the teeth and do the math.
Back to my tranny, which is abuzz with 12,500 RPM in and -let's see divide by 11.097, carry the 4 - I get an Axle speed of 1126 RPM.
Remember the Working Factor? 1126 times .04735 = 53 MPH and change.
Figure in those slip factors now, maybe 5-10% wasted. Call it 50 again.
You can plug in your own numbers to see what yours'll do...