Finding MPH
1) MPH = TIRE RADIUS ÷ 168 × ENGINE RPM ÷ GEAR RATIO
Note: Tire Radius is distance, in inches, from center of tire
to ground.
Note: Gear ratio is rear axle ratio multiplied by transmission
gear ratio.
Example:
What is the MPH at 6,500 RPM with a 4.90 rear axle and a 14 inch
radius tire in 4th gear, (1:1)?
14.0
÷ 168.0
× 6,500.0
÷ 4.90
÷ 1.0
_________________
111 MPH
Example:
What is the MPH at 6500 RPM with a 4.90 rear axle and a 14 inch
radius tire in 3rd gear, (1.34:1)?
14.0
÷ 168.0
× 6,500.0
÷ 4.90
÷ 1.34
_________________
83 MPH
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WHAT HP & TORQUE is needed.
Three mathematical formulas are given below in determining horsepower needs:
Engine horsepower required to reach MPH in quarter mile (HPq):
HPq =
(0.00426 × MPH)
× (0.00426 × MPH)
× (0.00426 × MPH)
× WEIGHT
Note: understates HP required at speeds exceeding 100 MPH.
Note: assumes engine HP must be 2 × the HP required at drive
wheels.
Example:
What engine HP is required to achieve 110 MPH in a 3,200
pound vehicle in a 1/4 mile?
HPq =
(0.00426 × 110)
× (0.00426 × 110)
× (0.00426 × 110)
× 3,200
_____________________________
329 engineHP
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Engine horsepower required to sustain MPH on level ground (HPs):
HPs =
(MPH ÷ 3)
+ (WEIGHT ÷ 1,000 × MPH ÷ 10)
Note: assumes engine HP must be 2 × the HP required at drive wheels.
Example:
What engine HP is required to sustain 75 MPH in a 3,600
pound vehicle?
HPs =
75
÷ 3
+ (3,600 ÷ 1,000 × 75 ÷ 10)
_____________________________
25
+ (3.6 × 7.5)
_______________________________________
52 engine HP
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Engine horsepower required to sustain MPH up a grade of G% (HPg):
HPg =
HPs
+ (G ÷ 100 × 0.005 × WEIGHT × MPH)
Note: Assumes engine HP must be 2 × HP required at drive wheels,
Example:
What HP to sustain 75 MPH up a 6 % grade in a 3,600 pound vehicle?
HPg =
HPs
+ (6 ÷ 100 × 0.005 x3600 × 75)
_________________________________
HPs
+ 81
_________________________________
(3,600 ÷ 10,000 + 0.33)
× 75
+ 81
_________________________________
52
+ 81
_________________________________________
133 engine HP
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a) Horsepower =
TORQUE
× RPM
÷ 5,252
Torque =
HP
× 5,252
÷ RPM
Back to the basics statement:
Horsepower comes from torque.
Torque comes from the pressure of combustion in the cylinder when
combustion pressure causes the piston to turn the crankshaft which
is measured as torque. The trick is to generate high enough pressure on
each stroke and to do it often enough (RPM) to produce the horsepower
needed.
Torque is measured in Foot/Pounds.
Foot/Pounds meaning the force of 1 pound exerted on a lever 1 foot in
length as measuered from a pivot point.
Example:
What torque is required to generate 329 HP at 6,000 RPM?
Torque (T) =
329.0
× 5,252.0
÷ 6,000.0
______________________
288.0 foot pounds @ 6,000 RPM
Example:
What torque is required for 296 HP at 4880 RPM?
T =
296.0
× 5,252.0
÷ 4,880.0
____________
319.0 Foot/Pounds @ 4,880 RPM
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About Cubic Inch Displacement, Volumetric Efficiency,
Combustion Efficiency and CFM:
1) CID = NUMBER OF CYLINDERS × SWEPT VOLUME
CID=
N
× 0.7854
× bore
× bore
× stroke (all in inches)
Example:
What is CID of a V8 with a "30 over", 4 inch bore and 3.48 inch stroke?
CID =
8.0
× 0.7854
× 4.030
× 4.030
× 3.48
_________________________________
355.0 Cubic Inch Displacement
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VOLUMETRIC EFFICIENCY (VE)=
Engine Actual Air Intake
÷ CID:
If VE is less than 1 (or 100%) the amount and quality of charge
in the cylinder is reduced so less torque is produced.
Note: VE above 100% is a supercharging effect and more torque is produced.
11) CE = COMBUSTION EFFICIENCY = How well the energy in the fuel is
converted into crankshaft torque. Affected by:
air/fuel ratio, ignition timing, charge mixing and other factors.
Condition Best Power Best Economy Lean Misfire
Air/Fuel Ratio 12-12.5 14.5-15.5 17
3) CFM = CUBIC FEET PER MINUTE
A measure of air flow into and out of an engine
CFM =
CID
× RPM
× VE
÷ 3464
__________
Cubic Feet p/min
Example:
What CFM is consumed by a 355 CID engine at 4,478 RPM if VE = 105%, (1.05)?
355.0 (CID)
× 4,478.0 (RPM)
× 1.05 (% VE)
÷ 3,464.0
______________
482.0 CFM
Example:
What CFM by the same engine at 6,400 RPM if VE has fallen to 95% (0.95)?
355.0 (CID)
× 6,400.0 (RPM)
× 0.95 (% VE)
÷ 3,464.0
_____________
623.0 CFM
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About Compression Ratio, Cubic Inches and Horsepower:
4) CR = COMPRESSION RATIO = CYL. VOLUME @ BDC ÷ CYLINDER VOLUME @ TDC
= 1 + (SWEPT VOLUME ÷ VOL @ TDC)
= 1 + (0.7854 × BORE × BORE × STROKE) ÷ (CCV + HGV + PDV)
Combustion Chamber Volume (CCV) in cubic inches
Note: if volume is given in cc’s then divide by 16.4 to get cubic inches.
Head Gasket Volume (HGV) in cubic inches =
Head gasket compressed
× thickness
× 0.7854
× bore
× bore
Piston Deck Volume (PDV)
+ Piston Dome Effective Volume
___________________________________
(0.7854 × bore × bore × deck to piston distance)
+ (volume of piston depressions - volume of piston bumps)
Example:
What is CR of the engine if heads have 72 cc chamber,
head gasket is compressed to 0.040 inch and flat top pistons
give 0.025 deck clearance at TDC?
CCV =
72.0
÷ 16.4
__________________________
4.39 cubic inches
HGV =
0.040
× 0.7854
× 4.030
× 4.030
___________________
0.51 CID
PDV =
0.025
× 0.7854
× 4.030
× 4.030
+ 0.0
- 0.0
___________________
0.32 CID
CR =
1
+ (0.7854 × 4.030 × 4.030 × 3.48)
÷ (4.39 + 0.51+ 0.32)
__________________________________
1
+ (44.39 ÷ 5.22)
__________________________________
9.5 Compression Ratio
HP =
Atmospheric Pressure
× CR
× VE
× CID
× RPM
÷ 5,252.0
÷ 150.8
Example #1:
What HP from a 350 CID Torker-level engine @ 6,000 RPM at sea level?
14.7
× 9.5
× 0.95
× 350.0
× 6,000.0
÷ 5,252.0
÷ 150.8
_________________
352 HP
Note: Torker VE is typically 100% at Torque peak RPM but 95% at
HP peak RPM.
Example #2:
Effect of a carburetor restrictor plate that causes 1.5 PSI additional
manifold vacuum?
14.7
× 9.5
× 0.9
× 350.0
× 6,000.0
÷ 5,252.0
÷ 150.8
_______________
336 HP
CID =
HP
× 5,252.0
× 150.8
÷ Atmos. Press.
÷ CR
÷ VE
÷ RPM
Example #3:
What CID is required for 352 HP from a Performer-level engine?
352.0
× 5,252.0
× 150.8
÷ 14.7
÷ 8.5
÷ 0.85
÷ 5,000.0
_____________
525.0 CID
Note: Performer is 8.5 CR & HP peak is 5,000 RPM @ 85% VE
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chargers@3me.com
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