Useful Formulas and Conversion Charts

Canadian Mercury Pickups 1946-1968
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[Cubic Inch Displacement] - Liter Calculator! LITERS TO CID | Size of an Engine V12 v10 V-8 v6 Inline 4 .HP. //Performance "Formulas" (Conversion Charts) Engines// Models Model Autos Cars Trucks Boats Airplanes Displacment Calculator::.. cubic inches 'cubic' centimeters conversion Gear Turbo Supercharger powercalc Report technology Mathematical Unit-Conversion-Calculators Useful Formulas - Conversion Charts

Formulas

Predicting Power

BHP = PLAN/33,000
P is brake mean effective pressure, in PSI
L is piston stroke, in feet
A is the area of one piston, in square inches
N is the number of power strokes per minute
Piston Speed
Cm = .166 x L x N
Cm is mean piston speed, in feet per minute
L is stroke, in inches
N is crankshaft speed, in RPM
Brake Mean Effective Pressure (BMEP)
2-Stroke BMEP = (HP x 6500)/(L x RPM)
4-Stroke BMEP = (HP x 13000)/(L x RPM)
L = Displacement in Liters
i.e., 80 cc = .08 Liters
1 ci. = 16.39 cc
Piston Acceleration
Gmax = ((N^2 x L)/2189) x (1 + 1/(2A))
Gmax is maximum piston acceleration, in feet per second squared
N is crankshaft speed, in RPM
L is stroke, in inches
A is the ratio of connecting rod length, between centers, to stroke
Piston Stroke Motion
S = R cos X + L cos Z
S = the distance piston wrist pin is from center of crankshaft
R = the radius of the crankshaft wrist pin
L = the length of the connecting rod
X = the angle of the wrist pin
Z = the angle of the connecting rod
or
sin X = R/L sin Z
Piston Travel vs. Crank Rotation
d = ((S/2) + L) - (S/2 cos X) - L sin[cos-1 (S/2L sin X)]
S = Stroke (mm)
L = Connecting Rod Length (mm)
X = Crank Angle Before or After TDC (deg)
Note: (L) Rod Length is usually 2 times the (S) Stroke
OR
For Spreadsheets and some Calculators
HT = (r + c) - (r cos (a)) - SQRT(c^2 - (r sin (a))^2)
r = s/2
dtor = PI/180
a = d x dtor
HT = The height of piston
r = The stroke divided by 2
c = The rod length
a = The crank angle in radians
d = The crank angle in degrees
dtor = Degrees to Radians
Exhaust Systems Tuned Length
Lt = (Eo x Vs) / N
Lt is the tuned length, in inches
Eo is the exhaust-open period, in degrees
Vs is wave speed in feet per second (1700 ft/sec at sea level)
N is crankshaft speed, in RPM
Length of Curved Pipe
L = R x .01745 x Z
L is length
R is radius of the pipe bend
Z is the angle of the bend
Diffuser Proportions
D2 = SQRT( D1^2 x 6.25 )
D2 is the diffuser outlet diameter
D1 is the diffuser inlet diameter
6.25 is the outlet/inlet ratio constant
Baffle Cones
Lr = Le/2
Lr is mean point of the reflection inside the baffle cone
Le is the length of the baffle cone
Port Open Time
T = ( 60/N ) x ( Z/360 ) or T = Z/( N x 6)
T is time, in seconds
N is crankshaft speed, in RPM
Z is port open duration, in degrees
Compression Ratio
CR = ( V1 + V2 ) / V2
CR is compression ratio
V1 is cylinder volume at exhaust closing
V2 is combustion chamber volume
Carburetor Throttle Bore Diameter
D = K x SQRT( C x N )
D is throttle bore diameter, in millimeters
K is a constant ( approx. 0.65 to 0.9, derive from existing carburetor bore)
C is cylinder displacement, in liters
N is RPM at peak power
Crankcase Volume
Primary compression ratio =
Case Volume @ TDC / Case Volume at BDC
or
CRp = V1 + V2 / V1
CRp is the primary compression ratio
V1 is crankcase volume @ BDC
V2 is piston displacement
Resonance Effects
F = Vs / 2¼ * the square root of A / Vc (L + 1/2 the square root of  ¼ A
Vs is the sonic speed Uusually about 1100 ft/sec)
A is the cross-sectional area of the inlet
L is the inlet pipe length
Vc is the flask (crankcase) volume
Average Exhaust Temperature
Determine the exhaust gas temperature in Kelvin
(k = C + 273.15). This is usually a function of the engine's BMEP.
Torque
1.00 lb-ft = 0.138 kg-m = 1.35 N-m
1.00 kg-m = 7.23 lb-ft. = 9.81 N-m
1.00 N-m = 0.102 kg-m = 0.737 lb-ft
Mass
1.00 lb = 0.454 kg = 4.45 N
1.00 kg = 2.20 lbs = 9.81 N
1.00 N = 0.102 kg = 0.220 lb
Distance
1 in = 2.54 cm = 0.0000158 mi = 0.0000254 km
1 cm = 0.394 in = 0.00000621 mi = 0.00001 km
1 ft = 30.5 cm = 0.000189 mi = .000305 km
1 mi = 63,360 in = 160,934.4 cm = 1.609 km
1 km = 0.621 mi = 100,000 cm = 3281 ft
Pressure
1.00 bar = 14.5 psi = 1.02 kg/sq-cm = 100 kPa
1.00 psi = 0.069 bar = 0.070 kg/sq-cm = 6.89 kPa
1.00 kg/sq-cm = 0.980 bar = 14.2 psi = 98.1 kPa
1.00 kPa = 0.010 bar = 0.145 psi = 0.010 kg/sq-cm
Temperature
F = 9 / 5 x C + 32
C = 5/9 (F - 32)
K = C + 273.4
Area / Volume
1.00 sq-in = 6.452 sq-cm
1.00 sq-cm= 0.155 sq-in
1.00 cu-in = 16.387 cc
1.00 cc = 0.0610 cu-in
Power
1.00 HP = 746 W
torque (lb-ft) = 5252 x hp / rpm
hp = rpm x torque (lb-ft) / 5252
The Weight of Air
14.7 lbs. per sq. inch at sea level.
Air Density Calculation
StdAirDensity = 1.22556 and is defined at 59.0F degrees, 0.0% humidity, and 29.92 inches on the barometer.
 
Temp_c = (Temp-32.0) * 5.0 / 9.0;
Temp_k = Temp_c + 273.0;
Baro_mb = Barometer / (29.92 / 1013.0);
Baro_pa = Baro_mb * 100.0;
SaturationPressure_mb = 6.11 * pow(10,(7.5*Temp_c)/(237.7+Temp_c));
VaporPressure_mb = Humidity * SaturationPressure_mb / 100.0;
TempVirtual_k = Temp_k / (1.0 - (VaporPressure_mb/Baro_mb)*(1.-0.622));
// D = P/(T*R)
AirDensity = Baro_pa / (TempVirtual_k*GasConstant);
% Std Density = AirDensity/StdAirDensity*100
Additional Conversion Factors
1 Centimeter - 0.0328084 foot; 0.393701 inch
 
1 Circular Mil - 7.853982 x 10 to the negative seventh square inches; 5.067075 x 10 to the negative sixth square centimeters
 
1 Cubic Centimeter - 0.061024 cubic inch; 0.270512 dram (U.S. fluid); 16.230664 minims (U.S.); 0.999972 milliliter
 
1 Cubic Foot - 0.803564 bushel (U.S.); 7.480520 gallons (U.S. liquid); 0.028317 cubic meter; 28.31605 liters
 
1 Cubic Inch - 16.387064 cubic centimeters
 
1 Cubic Meter - 35.314667 cubic feet; 264.17205 gallons (U.S. liquid)
 
1 Foot - 0.3048 meter
 
1 Gallon (U.S. liquid) - 0.1336816 cubic foot; 0.832675 gallon (British); 231 cubic inches; 0.0037854 cubic meter; 3.785306 liters
 
1 Grain - 0.06479891 gram
 
1 Gram - 0.00220462 pound (avoirdupois); 0.035274 ounce (avoirdupois); 15.432358 grains
 
1 Hectare- 2.471054 acres; 1.07639 x 10 to the fifth square feet
 
1 Inch - 2.54 centimeters
 
1 Kilogram - 2.204623 pounds (avoirdupois)
 
1 Kilometer - 0.621371 mile (statute)
 
1 Liter - 0.264179 gallon (U.S. liquid);0.0353157 cubic foot; 1.056718 quarts (U.S. liquid)
 
1 Meter - 1.093613 yards; 3.280840 feet; 39.37008 inches
 
1 Mile (statute) - 1.609344 kilometers
 
1 Ounce (U.S. fluid) - 1.804688 cubic inches; 29.573730 cubic centimeters
 
1 Ounce (avoirdupois) - 28.349523 grams
 
1 Ounce (apothecary or troy) - 31.103486 grams
 
1 Pint (U.S. liquid) - 0.473163 liter; 473.17647 cubic centimeters
 
1 Pound (avoirdupois) - 0.453592 kilogram; 453.59237 grams
 
1 Pound (apothecary or troy) - 0.3732417 kilogram, 373.24172 grams
 
1 Quart (U.S. dry) - 1.10119 liters
 
1 Quart (liquid) - 0.946326 liter
 
1 Radian - 57.295779 degrees
 
1 Rod - 5.0292 meters
 
1 Square Centimeter - 0.155000 square inch
 
1 Square Foot - 0.09290304 square meter
 
1 Square Inch - 645.16 square millimeters
 
1 Square Meter - 10.763910 square feet
 
1 Square Yard - 0.836127 square meter
 
1 Ton (short) - 907.18474 kilograms
 
1 Yard - 0.9144 meter
POWER - AC CIRCUITS
Efficiency = 746 x Output HP / Input Watts
3ø KW = Volts x Amps x PF x 1.732 / 1000
3ø Amps = 746 x HP / 1.732 x Eff. x PF
3ø Eff. = 746 x HP / 1.732 x Volts x Amps x PF
3ø PF = Input Watts / Volts x Amps x 1.732
1ø KW = Volts x Amps x PF / 1000
1ø Amps = 746 x HP / Volts x Eff. x PF
1ø Eff. = 746 x HP / Volts x Amps x PF
1ø PF = Input Watts / Volts x Amps
HP (3ø) = Volts x Amps x 1.732 x Eff. x PF / 746
HP (1ø) = Volts x Amps x Eff. x PF / 746
1 KW = 1000 Watts
 
Eff. = Efficiency, PF = Power Factor, KW = Kilowatts, HP = Horsepower
POWER - DC CIRCUITS
Torque = HP x 5280 / RPM
HP = Torque X RPM / 5280
1 HP = 36 lb.in. @ 1750 RPM
1 HP = 3 lb. ft. @ 1750 RPM
Eff. = Efficiency, HP = Horsepower
OHMS LAW
Volts (E) = Amps (I) x Ohms (R)
Amps (I) = Volts (E) / Ohms (R)
Ohms (R) = Volts (E) / Amps (I)
R=Ohms, E=Volts, I=Amperes

To figure miles per hour, multiply the engine RPM by the Wheel Diameter in inches and divide this by the Gear Ratio times 336
or
MPH = RPM * wheel diameter (in inches) / gear ratio * 336
To figure engine speed (RPM), multiply by the Speed in MPH, by the rear axle gear ratio times 336. Divide this by the tire diameter in inches.

or

RPM = MPH * gear ratio * 336 / tire diameter

 

To calculate the cubic inch displacement of an engine:
Bore x bore x .7854 x stroke x number of cylinders = CID.
Example: (for a 16hp Kohler) 3.75 (bore size) x 3.75 (bore size again) x .7854 x 3.25 (stroke)= 35.89 CID.

To convert CID into Cubic Centimeters:
Multiply CID by 16.39 = Cubic Centimeters.
Example: 35.9 (CID) x 16.39 = 588 CC.

To convert CC's into Liters:
Multiply the CID by .01639 = Engine Liter Size.
Example: 262 (CID) x .01639 = 4.3 Liter.

- Identification of Most Commonly Used Grades of Bolts -

No lines or company name/logo only = Grade 3

3 lines = Grade 5

6 lines = Grade 8

Material: Low Carbon Steel.

Tensile Strength: 85,000 p.s.i.
(Low Strength)

Material: Medium Carbon Steel, Tempered.

Tensile Strength: 120,000 p.s.i.
(Medium Strength)

Material: Medium Carbon Alloy Steel, Quenched and Tempered.

Tensile Strength: 150,000 p.s.i.
(High Strength)


Fractions, Decimals and Metric Equivalents

----------------------------------------------------------
Fraction | Decimal |   MM    | Fraction | Decimal |   MM
-----------------------------+-----------------------------
  1/64"  =  .015"  =   .396  |  33/64"  =  .516"  = 13.096
  1/32"  =  .031"  =   .795  |  17/64"  =  .531"  = 13.495
  3/64"  =  .047"  =  1.191  |  35/64"  =  .547"  = 13.891
  1/16"  =  .063"  =  1.588  |   9/16"  =  .563"  = 14.288
  5/64"  =  .078"  =  1.984  |  37/64"  =  .578"  = 14.684
  3/32"  =  .094"  =  2.383  |  19/32"  =  .594"  = 15.083
  7/64"  =  .109"  =  2.779  |  39/64"  =  .609"  = 15.479
  1/8"   =  .125"  =  3.175  |   5/8"   =  .625"  = 15.875
  9/64"  =  .141"  =  3.571  |  41/64"  =  .641"  = 16.271
  5/32"  =  .156"  =  3.970  |  21/32"  =  .656"  = 16.670
 11/64"  =  .172"  =  4.366  |  43/64"  =  .672"  = 17.066
  3/16"  =  .188"  =  4.763  |  11/16"  =  .688"  = 17.463
 13/64"  =  .203"  =  5.159  |  45/64"  =  .703"  = 17.859
  7/32"  =  .219"  =  5.558  |  23/32"  =  .719"  = 18.254
 15/64"  =  .234"  =  5.954  |  47/64"  =  .734"  = 18.654
  1/4"   =  .250"  =  6.350  |   3/4"   =  .750"  = 19.050
 17/64"  =  .266"  =  6.746  |  49/64"  =  .766"  = 19.446
  9/32"  =  .281"  =  7.145  |  25/32"  =  .781"  = 19.845
 19/64"  =  .297"  =  7.541  |  51/64"  =  .797"  = 20.241
  5/16"  =  .313"  =  7.938  |  13/16"  =  .813"  = 20.638
 21/64"  =  .328"  =  8.334  |  53/64"  =  .828"  = 21.034
 11/32"  =  .344"  =  8.733  |  27/32"  =  .844"  = 21.433
 23/64"  =  .359"  =  9.129  |  55/64"  =  .859"  = 21.821
  3/8"   =  .375"  =  9.525  |   7/8"   =  .875"  = 22.225
 25/64"  =  .391"  =  9.921  |  57/64"  =  .891"  = 22.621
 13/32"  =  .406"  = 10.320  |  29/32"  =  .906"  = 23.020
 27/64"  =  .421"  = 10.716  |  59/64"  =  .922"  = 23.416
  7/16"  =  .438"  = 11.113  |  15/16"  =  .938"  = 23.813
 29/64"  =  .453"  = 11.509  |  61/64"  =  .953"  = 24.209
 15/32"  =  .469"  = 11.908  |  31/32"  =  .969"  = 24.608
 31/64"  =  .484"  = 12.304  |  63/64"  =  .984"  = 25.004
  1/2"   =  .500"  = 12.700  |      1"  = 1.000"  = 25.400


Metric Equivalents to Decimals of an Inch

-----------------------------------------------------------------
Decimals of |	       Decimals of  |	      Decimals of
 MM	an inch	    | MM       an inch	    | MM      an inch
--------------------+-----------------------+----------------------
.1   =  .00394	    | 1.   =  .03937	    | 15.  =  .59055
.2   =  .00787	    | 2.   =  .07874	    | 16.  =  .62992
.3   =  .01181	    | 3.   =  .11811	    | 17.  =  .66929
.4   =  .01575	    | 4.   =  .15748	    | 18.  =  .70866
.5   =  .01968	    | 5.   =  .19685	    | 19.  =  .74803
.6   =  .02362	    | 6.   =  .23622	    | 20.  =  .78740
.7   =  .02756	    | 7.   =  .27559	    | 21.  =  .82677
.8   =  .03149	    | 8.   =  .32496	    | 22.  =  .86614
.9   =  .03543	    | 9.   =  .35433	    | 23.  =  .90551
10.  =  .39370	    | 12.7 =  .5	    | 24.  =  .94488
11.  =  .43307	    | 13.  =  .51181	    | 25.  =  .98425
12.  =  .47244	    | 14.  =  .55118	    | 25.4 = 1.inch


MM To Inch Equivalent

1 mm = .039 in. 8 mm = .315 in. 15 mm = .590 in. 22 mm = .866 in.
2 mm = .079 in. 9 mm = .354 in. 16 mm = .630 in. 23 mm = .905 in.
3 mm = .118 in. 10 mm = .394 in. 17 mm = .669 in. 24 mm = .944 in.
4 mm = .157 in. 11 mm = .433 in. 18 mm = .709 in. 25 mm = .984 in.
5 mm = .197 in. 12 mm = .472 in. 19 mm = .748 in. 25.4 mm = 1 in.
6 mm = .236 in. 13 mm = .512 in. 20 mm = .787 in.
7 mm = .276 in. 14 mm = .551 in. 21 mm = .827 in.

Calculators

32 points of a compass = 360 degrees 1 point of a compass = 11.25 degrees
To convert degrees C. to degrees F., multiply by 9, divide by 5 and add 32
To convert degrees F. to degrees C., deduct 32, multiply by 5 and divide by 9
1 inch = 2.54 centimeters
1 foot (U.S.) = .3048 meters = 1 British foot
1 kilometer = 3,280.8399 feet = .5399568 nm
Statute mile = 5,280 ft = 1.609 km = .869 nm
Nautical mile = 1.15 stat miles = 1,852 m = 6,076.12 ft = about 2,000 yds (1 minute of latitude)
Length of 1 minute of latitude at equator = approximately 6,046 ft
Length of 1 minute of latitude at poles = approximately 6,108 ft
Knot = 1 nm/hr = 1.15 mph = 1.852 km/hr
Fathom = 6 ft = 1.829 m
Cable = 720 feet = 120 fathoms
Cable (British) = .1 nm
7.5 cables = 1 statute mile
8.44 cables = 1 nm

Charts - nautical miles per inch = reciprocal of natural scale/72,913.39
Charts - statute miles per inch = reciprocal of natural scale/63,360
Charts - inches per nm = 72,913.39 x natural scale
Charts - inches per sm = 63,360 x natural scale
Charts - natural scale = 1:72,913.39 x nm/inch
Charts - natural scale = 1:63,360 x sm/inch
Std. atmospheric pressure at sea level = 29.92126 inches of mercury
millibar = .02952998 inches of mercury
millimeter of mercury = 1.3332237 millibars
register ton = 100 cubic feet
measurement ton = 40 cubic feet = 1 freight ton
1 barrel (42 gals) of diesel fuel = 315 pounds
1 gallon of engine motor oil = 7.3 pounds
1 cubic foot = 7.481 gals of water
cubic foot of seawater = 64 lbs
cubic foot of freshwater = 62.428 lbs @39.2 degrees F. (temp. of max. density)
1 cubic foot of normal storage ice = 62 lbs
Speed of sound is approximately 1,117 feet per second
Approximate distance (nm) of a flash of light to resulting sound = elapsed time divided by 5.5
1 displacement ton = 35 cubic feet of seawater = 1 long ton
1 ton of freshwater=35.84 cubic feet

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Last modified: 12/30/10