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Old 01-13-2012, 11:49 AM   #4 (permalink)
gone-ot
...beats walking...
 
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...ignore the actual equations for the moment and just follow the "what goes UP" and what goes DOWN" discussion:

MPH = ( 60 / (G × A))( RPM / rpm )

where:
MPH = vehicle speed, miles-per-hour
RPM = engine speed, revolutions-per-minute
rpm = tire speed, revolutions-per-mile
60 = conversion constant, minutes-per-hour
G = transmission GEAR ratio, ie: 3.21:1, etc.
A = AXLE ratio, ie: 3.08:1, etc.

Any values above the vinculum (divisor line "/") are GREEN values; any values below the vinculum (divisor line "/") are RED values:

increasing any GREEN value increases MPH.
increasing any RED value decreases MPH.
decreasing any RED value increases MPH.
decreasing any GREEN value decreases MPH.

...and, tire/wheel diameter affects rpm:

rpm = 5280' / ((dia" × PI)/12)

The larger the tire diameter, the fewer rpm's needed per mile and, conversely, the smaller the tire diameter, the more rpm's needed per mile. Thus, tire/wheel diameter is a GREEN value (see here: http://www.gordon-glasgow.org/tirecalc.html ):

dia" = (5280' × 12)/(rpm × PI)

Until the point where you "lug" the engine, anything that enables you to go faster (increasing MPH) enhances fuel economy. This is why "race" cars have 'deep' (higher numbers) transmission gears and axle-ratios while "economy" cars have 'lighter' (lower numbers) transmission gears and axle-ratios.

Last edited by gone-ot; 01-13-2012 at 01:30 PM..
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