Thought you'd get away from that cursed math book when ya headed out to the garage to play with yer hot rod, eh? Think again! From calculating your compression ratio to degreeing the cam you're gonna need math. Here you'll find formulas I've run across to simplifiy some of the questions that sometimes arise and supply some general info I've found. This area is constantly going to change as I find new information. If you have any little calculations that you don't see here and would like to share them, email me. Have fun.














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 =
CID * RPM

20839
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



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 =
Torque * RPM

5252
Torque =
Horsepower * 5252

RPM
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))



Horsepower, ET, and Weight:

A quick calculation for horsepower based on your 1/4 mile trap speed:
HP = (TS/234)3 * race weight 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.

Here's some more:
ET = * 5.825
or maybe you want
Weight = (ET/5.825)3 * HP
Or try:
HP =
weight

(ET/5.825)3
or for a quick idea of ideal ET assuming good street rubber and decent traction.... ET =
1353

mph



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

6894.757



Cubic Feet per Minute:

Theoretical CFM =
CID * RPM

3464
and Actual CFM =
CID * RPM * VE

3464



Carburetor Cubic Feet per Minute:

Required CFM =
CID * RPM * VE

2820
This seems to figure the requirement
a bit larger than you'd think necessary.



Volumetric Efficiency:

Engines are occasionally defined as simply an air pump. While this is definitely an oversimplification, your engine's 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 (the point of peak tq is going to be your max VE) 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



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 pistion 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. Rmember...these are rough....talk with your engine builder or an expert.
Piston speed (fpm) =
stroke * RPM

6
and RPM limit =
Piston speed (fpm) * 6

stroke



RPM vs. MPH:

An optimum set-up will put you thru the traps at the rpm your engine's peak hp. These calculations are useful in selecting rear tire diameters and rear gear ratios. The freeware spreadsheets below allow easier access to these calculations.
MPH =
Tire Diameter in inches * RPM

336 * Diff Gear ratio * Trans Gear Ratio
RPM =
336 * Diff Gear ratio * Trans Gear Ratio * MPH

Tire Diameter in inches
Rearend Ratio =
Tire Diameter in inches * RPM

336 * MPH * Trans Gear Ratio
Tire diameter in inches =
336 * Diff Gear ratio * Trans Gear Ratio * MPH

RPM



Fuel Injectors:

Just as the wrong sized jets in a carb can cause decreeased 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

3) The 0.8 multiplier fo 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 calcuation 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
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
where 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 = * 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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