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Formulas
Horsepower and Torque:
Horsepower comes from torque.
Torque is a result of the combustion process forcing the piston downward and rotating the
crank. This output is measured as Torque. The idea is to generate high enough pressure on
each stroke often enough (rpm) to generate the necessary Horsepower.
Horsepower and Torque,
incidentally, are always equal at 5252 rpm.
Wanna figure out what that factory horsepower rating is at your height above sea level?
Corrected BHP = BHP * (1 -
((elevation/1000) * .03))
Note:
BHP = Brake Horse Power
.03 = 1/30 mercury
Horsepower, ET, and Weight:
A quick calculation for
horsepower based on 1/4 mile trap speed:
HP = (TS/234)3
* race weight |
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or |
|
HP = (TS * 0.00426)3
* race weight |
|
where |
|
HP |
= |
Horspower
(of course) |
TS |
= |
1/4 mile
trap speed |
|
This horsepower output is the
minumum required for the specified trap speed. It assumes ideal track conditions, weather
conditions, traction, and vehicle aerodynamics. It will understate horsepower required at
speeds exceeding 100 mph.
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Weight =
(ET/5.825)3 * HP |
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Or try:
HP
= |
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for a quick
idea of ideal ET assuming good street rubber and decent traction.... |
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ET
= |
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Horsepower:
Calculation assuming sea
level and known Volumetric Efficiency
Horsepower
= |
AP * CR * VE * CID * RPM |
|
792001.6 |
|
|
where |
|
AP |
= |
atmospheric
pressure in psi |
CR |
= |
compression
ratio |
VE |
= |
volumetric
efficiency |
CID |
= |
cubic inch
displacement |
RPM |
= |
revolutions
per minute |
|
Most use Barometric pressure
which is in measured in inches of mercury. To get the equivalent pressure in psi:
Pressurepsi
= |
pressureHg * 3376.85 |
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6894.757 |
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Air Filter Selection:
An average foam filter will flow 4.38 cfm/sq-in. A good
paper filter will flow 4.95 cfm/sq-in. An oiled cotton gauze (K&N) will flow 6.03
cfm/sq-in.
To get your required filtered surface area for a oiled cotton gauze filter use the
following formula:
A = |
|
|
where |
|
A |
= |
effective filtering area (square
inches) |
CID |
= |
cubic inch displacement |
RPM |
= |
rev./min. at max power |
|
Then using the following modifying factors if using an
alternative filter media:
A * 1.3767 = required surface area for
foam element |
A * 1.2181 = required surface area for
paper element |
Cubic Feet per Minute:
Theoretical
CFM = |
|
|
and |
|
Actual CFM
= |
|
VE |
= |
volumetric
efficiency |
CID |
= |
cubic inch
displacement |
RPM |
= |
revolutions
per minute |
Carburetor Cubic Feet per Minute:
Required
CFM = |
|
|
This seems to figure the
requirement
a bit larger than you'd think necessary. |
Volumetric Efficiency:
Engine output is based on how much air and fuel it can burn.
It's proficiency at burning the air/fuel mixture is defined as it's Volumetric Efficiency.
If you know the amount of air your engine can move at a specific rpm you can use this
calculation to estimate volumetric efficiency.
Volumetric
Efficiency = |
Actual CFM * 1728 |
|
CID * RPM |
|
|
or |
|
Volumetric
Efficiency = |
Actual CFM |
|
Theoretical CFM |
|
* 100 |
Or, if you know your
horsepower at a given rpm (peak HP is what you want to use here) you can approximate your
Volumetric Efficiency at sea level by using a variation of the previous Horsepower
calculation:
VE = |
HP * 792001.6 |
|
AP * CR * CID * RPM |
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Cubic Inch Displacement:
CID = Number of cylinders * 0.7854 * bore * bore * stroke
All measurements in inches.
Rev Limits:
There are some rough
standards for RPM limits. These are based on piston speed measured in feet per minute.
Cast crank and rods should aim for under 3500 fpm. Forged crank, rods, and beefed main
caps can handle closer to 3800-4000 fpm. This is only a rough estimate.
Piston
speed (fpm) = |
|
|
and |
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RPM limit = |
Piston speed (fpm) * 6 |
|
stroke |
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fpm = feet per minute
RPM vs. MPH:
These calculations are useful
in selecting rear tire diameters and rear gear ratios.
MPH = |
Tire Diameter in inches * RPM |
|
336 * Diff Gear ratio * Trans Gear Ratio |
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RPM = |
336 * Diff Gear ratio * Trans Gear Ratio * MPH |
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Tire Diameter in inches |
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Rearend
Ratio = |
Tire Diameter in inches * RPM |
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336 * MPH * Trans Gear Ratio |
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Tire
diameter in inches = |
336 * Diff Gear ratio * Trans Gear Ratio * MPH |
|
RPM |
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Fuel Injectors:
Just as the wrong sized jets in a carb can cause
decreased performance and driveability problems, so can incorrectly sized injectors. The
following calculation can be used for approximating fuel flow per injector based on
horsepower (HP) and Brake Specific Fuel Consumption (BSFC).
Note:
1) Engine HP must be a realistic estimate.
2) BSFC is determined from engine dyno measurements. It typically ranges from 0.4-0.6 for
gasoline engines. A BSFC of 0.5 is a safe, initial estimate.
BSFC = |
Pounds of fuel per
hour |
|
Brake Horse Power |
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3) The 0.8 multiplier for the "Number of Injectors" helps derive a practical
"Max Injector Flow Rate" for each injector based on an effective real world
injector operating pulse time and fuel flow. It is unrealistic to establish the fuel flow
to an engine based on an injector operating pulse time of 100% (wide open all the time).
This calculation uses an injector operating cycle of 80%. Some full race engine management
systems may operate at 85-95% duty cycle, but extended operation may eventually overheat
the injectors and cause irregular flow rates and poor low rpm operation.
Injector Flow Rate (lbs/hr) = |
HP * BSFC |
|
number of injectors *
0.8 |
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With a known injector fuel flow rate you can get a
rough estimate of the systems capacity by using:
HP = |
IFR * number of
injectors * 0.8 |
|
BSFC |
|
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|
where |
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IFR = Injector Flow Rate (lbs/hr) |
Increasing the fuel pressure can often provide
increased fuel flow and better atomization. If you know an injector's static (non-pulsed)
fuel flow at one system pressure you can find its static flow at another pressure with
this:
F2 = |

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* F1 |
|
where |
|
F2 is the calculated injector static flow
(lbs/hr) at the higher pressure |
P2 is the fuel system pressure (psi) you
want to use |
F1 is the injector's static flow (lbs/hr) at
it's rated fuel system pressure (psi) |
P1 is the fuel system pressure (psi) the
injector is rated for |
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