formulas for compression, etc...
I have been wondering this for awhile. Does anyone have an accurate formula to figure out compression ratios? In addition, is there any other formulas that anyone knows that would be useful at all????
I have ported and polished nonPI heads on a 03 Cobra bottom end. From what I understand, my nonPI comprssion was 9.0:1. A Termi is about 8.5:1 w/ those pistons. Porting the heads may change that some and I will be upgrading the valvetrain too when I get her back and running. That may change a bit too. I will be getting some flow numbers on the heads from MMR who ported them too. ANy ideas anyone??? THanks.
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I have ported and polished nonPI heads on a 03 Cobra bottom end. From what I understand, my nonPI comprssion was 9.0:1. A Termi is about 8.5:1 w/ those pistons. Porting the heads may change that some and I will be upgrading the valvetrain too when I get her back and running. That may change a bit too. I will be getting some flow numbers on the heads from MMR who ported them too. ANy ideas anyone??? THanks.
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You need to know bore and stroke, and the volume of the combustion chamber at TDC (aka "squish" volume). The first two are easy, thecombustion chamber (squish)volume (Vcc) is difficult to calculate (because of the uneven shape of the space, domed/recessed pistons etc.)--it is usually directly measured using fluid.[/align][/align]Anyway, once you have that info then it's:[/align][/align]Cratio = (Vcyl +Vcc) / Vcc[/align][/align]Vcyl = cylinder volume = B^2/4 * pi * S[/align] where B = bore, S = stroke pi = 3.14[/align][/align]Vcc = combustion chamber (squish space) volume[/align][/align]On an assembled engine you can determine the squish volume by turning the engine to TDC on some cylinder and then filling the combustion chamber (through the plug hole, to the bottom of the plug hole) with a measured amount of engine oil. The amount of oil it takes equals the squish volume. Suck the oil out with a vacuum tool or whatever, however be aware that the engine will smoke like heck when you start it and may foul the plug.[/align][/align]Forour 4.6L engines the standard bore is 90.2 mm, stroke is 90 mm;[/align][/align]making Vcyl = 90.2^2/4 * pi * 90 = 0.575 L. [/align][/align]If it took 57.5 mL (0.057 L) of oil to fill the squish then the compression ratio would be,[/align][/align]Cr = (0.575 + 0.0575)/ 0.0575= 11:1.[/align][/align]Hope this is of some assistance...[/align]
I got something alittle different.
Formulas for compression ratio
(CylVolume + ChamberVolume) / ChamberVolume
cylinder volume = pi/4 x bore^2 x stroke
chamber volume = cylinder volume / compression ratio - 1.0
displacement ratio = cylinder volume / chamber volume
amount to mill = (new disp. ratio - old disp. ratio / new disp. ratio x old disp. ratio) x stroke
Formulas for compression ratio
(CylVolume + ChamberVolume) / ChamberVolume
cylinder volume = pi/4 x bore^2 x stroke
chamber volume = cylinder volume / compression ratio - 1.0
displacement ratio = cylinder volume / chamber volume
amount to mill = (new disp. ratio - old disp. ratio / new disp. ratio x old disp. ratio) x stroke
Hell lets make this a fun thread here is every formula you will probably ever need.
Many of the formulas use the value of pi which is 3.1415927
Some formulas contain notation such as ^2 which means "squared" or ^3 which means "cubed"
Formulas for Calculating Performance
Convert between 1/4 mile and 1/8 mile ET's
1/4 mile ET = 1/8 mile ET x 1.5832
1/8 mile ET = 1/4 mile ET / 1.5832
Calculate 1/4 mile ET and MPH from HP and Weight
ET = ((Weight / HP)^.333) * 5.825
MPH = ((HP / Weight)^.333) * 234
Calculate HP From ET and Weight
HP = (Weight / ((ET/5.825)^3))
Calculate HP From MPH and Weight
HP = (((MPH / 234)^3) * Weight)
Formulas for displacement, bore and stroke
pi/4 = 0.7853982
cylinder volume = pi/4 x bore^2 x stroke
stroke = displacement / (pi/4 x bore^2 x number of cylinders)
Formulas for compression ratio
(CylVolume + ChamberVolume) / ChamberVolume
cylinder volume = pi/4 x bore^2 x stroke
chamber volume = cylinder volume / compression ratio - 1.0
displacement ratio = cylinder volume / chamber volume
amount to mill = (new disp. ratio - old disp. ratio / new disp. ratio x old disp. ratio) x stroke
Formulas for piston speed
piston speed in fpm = stroke in inches x rpm / 6
rpm = piston speed in fpm x 6 / stroke in inches
Formulas for brake horsepower
horsepower = rpm x torque / 5252
torque = 5252 x horsepower / rpm
brake specific fuel consumption = fuel pounds per hour / brake horsepower
bhp loss = elevation in feet / 1000 x 0.03 x bhp at sea level
Formulas for indicated horsepower & torque
horsepower = mep x displcement x rpm / 792,00
torque = mep x displacement / 150.8
mep = hp x 792,000 / displacement x rpm
mep = hp x 792,000 / displacement x rpm
mechanical efficiency = brake output / indocated output x 100
friction output = indicated output - brake output
taxable horsepower = bore2 x cylinders / 2.5
Formulas for air capacity & volumetric efficiency
theoretical cfm = rpm x displacement / 3456
volumetric efficiency = acutal cfm / theoretical cfm x 100
street carb cfm = rpm x displacement / 3456 x 0.85
racin carb cfm = rpm x displacement / 3456 x 1.1
Formulas for tire size & their effect
effective ratio = (old tire diameter / new tire diameter) x original ratio
actual mph = (new tire diameter / old tire diameter) x actual mph
Formulas for g force & weight transfer
drive wheel torque = flywheel torque x first gear x final drive x 0.85
wheel thrust = drive wheel torque / rolling radius
g = wheel thrust / weight
weight transfer = weight x cg height / wheelbase x g
lateral acceleration = 1.227 x raduis / time^2
lateral weight transfer = weight x cg height / wheel track x g
centrufugal force = weight x g
Formulas for shift points
rpm after shift = ratio shift into / ratio shift from x rpm before shift
drivehsaft torque = flywheel torque x transmission ratio
Formula for instrument error
actual mph = 3600 / seconds per mile
speedo error percent = difference between actual and indicated speed / actual speed x 100
indicated distance = odometer reading at finish - odometer reading at start
odo error percent = difference between actual and indicated distances / actual distance x 100
Formulas for MPH RPM gears & tires
mph = (rpm x tire diameter) / (gear ratio x 336)
rpm = (mph x gear ratio x 336) / tire daimeter
gear ratio = (rpm x tire diameter) / (mph x 336)
tire diameter = (mph x gear ratio x 336) / rpm
Formulas for weight distribution
percent of weight on wheels = weight on wheels / overweight x 100
increased weight on wheels = [ distance of cg from wheels / wheelbase x weight ] + weight
Formulas for center of gravity
cj location behind front wheels = rear wheel weights / overall weight x wheelbase
cg location off-center to heavy side = track / 2 - [ weight on light side / overall weight ] x track
cg height = [ level wheelbase x raised wheelbase x added weight on scale / distance raised ] x overall weight
Tire Height:
( (Width(mm) / 25.4 ) * ( Aspect(%) / 100 ) *2) + Wheel Height
Translation:
Width(mm)/Aspect(%)"R"Wheel Height
Ex. 245/45R17
Tire Width: 245 mm
Aspect: 45% (See Note on "Aspect below)
Wheel Height: 17"
245 mm / 25.4 --> Convert mm to Inches.
45 % x 2 --> Each tire has top and bottom sidewalls used in the calculation. In the formula above it takes the numeric aspect and divides by 100 to give you percentage.
Wheel Height --> obvious.
((245/25.4)*((45/100)*2)) + 17
((9.68)*(0.90) + 17
8.71 + 17 = 25.71 inches Tire Height
Tire Aspect: This is the second series of numbers (45 in the example above) that equals the percentage of the tire width that the sidewalls of the tire measures. In the example, the sidewall is 45% of the width of 245 millimeters.
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Revolutions Per Mile
Formula Used:
(( "Minutes Per Hour" * "RPMs" ) / ( "Feet in Mile" / ( "Tire Size Inches" * "Pi" / "Inches in One Foot" )) / "Final Drive Gear" / "Transmission Gear" )
Variables - Translated
Minutes Per Hour = 60
RPMs = Uses Upper and Lower Limit
Feet in Mile = 5280
Tire Size = ( (Width(mm) / 25.4 ) * ( Aspect(%) / 100 ) *2) + Wheel Size
Pi = 3.1415
Inches in One Foot = 12
Final Drive Gear = Rear Gear Ratio
Transmission Gear = Trans Gear Ratio
Many of the formulas use the value of pi which is 3.1415927
Some formulas contain notation such as ^2 which means "squared" or ^3 which means "cubed"
Formulas for Calculating Performance
Convert between 1/4 mile and 1/8 mile ET's
1/4 mile ET = 1/8 mile ET x 1.5832
1/8 mile ET = 1/4 mile ET / 1.5832
Calculate 1/4 mile ET and MPH from HP and Weight
ET = ((Weight / HP)^.333) * 5.825
MPH = ((HP / Weight)^.333) * 234
Calculate HP From ET and Weight
HP = (Weight / ((ET/5.825)^3))
Calculate HP From MPH and Weight
HP = (((MPH / 234)^3) * Weight)
Formulas for displacement, bore and stroke
pi/4 = 0.7853982
cylinder volume = pi/4 x bore^2 x stroke
stroke = displacement / (pi/4 x bore^2 x number of cylinders)
Formulas for compression ratio
(CylVolume + ChamberVolume) / ChamberVolume
cylinder volume = pi/4 x bore^2 x stroke
chamber volume = cylinder volume / compression ratio - 1.0
displacement ratio = cylinder volume / chamber volume
amount to mill = (new disp. ratio - old disp. ratio / new disp. ratio x old disp. ratio) x stroke
Formulas for piston speed
piston speed in fpm = stroke in inches x rpm / 6
rpm = piston speed in fpm x 6 / stroke in inches
Formulas for brake horsepower
horsepower = rpm x torque / 5252
torque = 5252 x horsepower / rpm
brake specific fuel consumption = fuel pounds per hour / brake horsepower
bhp loss = elevation in feet / 1000 x 0.03 x bhp at sea level
Formulas for indicated horsepower & torque
horsepower = mep x displcement x rpm / 792,00
torque = mep x displacement / 150.8
mep = hp x 792,000 / displacement x rpm
mep = hp x 792,000 / displacement x rpm
mechanical efficiency = brake output / indocated output x 100
friction output = indicated output - brake output
taxable horsepower = bore2 x cylinders / 2.5
Formulas for air capacity & volumetric efficiency
theoretical cfm = rpm x displacement / 3456
volumetric efficiency = acutal cfm / theoretical cfm x 100
street carb cfm = rpm x displacement / 3456 x 0.85
racin carb cfm = rpm x displacement / 3456 x 1.1
Formulas for tire size & their effect
effective ratio = (old tire diameter / new tire diameter) x original ratio
actual mph = (new tire diameter / old tire diameter) x actual mph
Formulas for g force & weight transfer
drive wheel torque = flywheel torque x first gear x final drive x 0.85
wheel thrust = drive wheel torque / rolling radius
g = wheel thrust / weight
weight transfer = weight x cg height / wheelbase x g
lateral acceleration = 1.227 x raduis / time^2
lateral weight transfer = weight x cg height / wheel track x g
centrufugal force = weight x g
Formulas for shift points
rpm after shift = ratio shift into / ratio shift from x rpm before shift
drivehsaft torque = flywheel torque x transmission ratio
Formula for instrument error
actual mph = 3600 / seconds per mile
speedo error percent = difference between actual and indicated speed / actual speed x 100
indicated distance = odometer reading at finish - odometer reading at start
odo error percent = difference between actual and indicated distances / actual distance x 100
Formulas for MPH RPM gears & tires
mph = (rpm x tire diameter) / (gear ratio x 336)
rpm = (mph x gear ratio x 336) / tire daimeter
gear ratio = (rpm x tire diameter) / (mph x 336)
tire diameter = (mph x gear ratio x 336) / rpm
Formulas for weight distribution
percent of weight on wheels = weight on wheels / overweight x 100
increased weight on wheels = [ distance of cg from wheels / wheelbase x weight ] + weight
Formulas for center of gravity
cj location behind front wheels = rear wheel weights / overall weight x wheelbase
cg location off-center to heavy side = track / 2 - [ weight on light side / overall weight ] x track
cg height = [ level wheelbase x raised wheelbase x added weight on scale / distance raised ] x overall weight
Tire Height:
( (Width(mm) / 25.4 ) * ( Aspect(%) / 100 ) *2) + Wheel Height
Translation:
Width(mm)/Aspect(%)"R"Wheel Height
Ex. 245/45R17
Tire Width: 245 mm
Aspect: 45% (See Note on "Aspect below)
Wheel Height: 17"
245 mm / 25.4 --> Convert mm to Inches.
45 % x 2 --> Each tire has top and bottom sidewalls used in the calculation. In the formula above it takes the numeric aspect and divides by 100 to give you percentage.
Wheel Height --> obvious.
((245/25.4)*((45/100)*2)) + 17
((9.68)*(0.90) + 17
8.71 + 17 = 25.71 inches Tire Height
Tire Aspect: This is the second series of numbers (45 in the example above) that equals the percentage of the tire width that the sidewalls of the tire measures. In the example, the sidewall is 45% of the width of 245 millimeters.
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[/align]
Revolutions Per Mile
Formula Used:
(( "Minutes Per Hour" * "RPMs" ) / ( "Feet in Mile" / ( "Tire Size Inches" * "Pi" / "Inches in One Foot" )) / "Final Drive Gear" / "Transmission Gear" )
Variables - Translated
Minutes Per Hour = 60
RPMs = Uses Upper and Lower Limit
Feet in Mile = 5280
Tire Size = ( (Width(mm) / 25.4 ) * ( Aspect(%) / 100 ) *2) + Wheel Size
Pi = 3.1415
Inches in One Foot = 12
Final Drive Gear = Rear Gear Ratio
Transmission Gear = Trans Gear Ratio
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uberstang1
Classic Mustangs (Tech)
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