RPM calculator

Gear Ratio Tire Radius MPH
RPM =

CFM needed

Engine size (cid) Max RPM Volumetric Efficiency *
CFM Needed =

* 1.0 is a good estimate for a mild performance engine

H.P From MPH Calculation:

1/4 Mile
Speed (mph)
Vehicle
Weight (lbs.)
  Horsepower

Displacement Calculation:

Bore Stroke # of Cylinders
CID=


Car Math Formulas

  • 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 (thanks to Bobby Mosher for this formula)

       1/8 mile ET = 1/4 mile ET / 1.5832 (thanks to Bobby Mosher for this formula)

    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 displacement 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 / indicated 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 = actual cfm / theoretical cfm x 100

    street carb cfm = rpm x displacement / 3456 x 0.85

    racing 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 radius / time^2

    lateral weight transfer = weight x cg height / wheel track x g

    centrifugal force = weight x g

    Formulas for shift points

    rpm after shift = ratio shift into / ratio shift from x rpm before shift

    driveshaft 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 diameter

    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

    Compression Ratio Formula

      GV (Head Gasket Volume) = Bore(in) X Bore(in) X 12.87 X (Head Gasket Thickness in Inches)
       DV (Below Deck Volume) = Bore(in) X Bore(in) X 12.87 X (Inches Below the Deck)
       HV (Head Volume) = CC's
       VV (Dish, Valve Pocket, Dome Volume) = CC's  (Minus for dish or valve pockets, Plus for dome)
        PV (Volume displaced by Piston) = Bore X Bore X Stroke X 12.87
    Compression Ratio = (GV+DV+HV-VV+PV) / (GV+DV+HV-VV)
    Cubic Inches = Bore x Bore X Stroke X Number of Cylinders X .7854

    Conversions

    Convert Cubic Inches to CCs = Cubic Inches X 16.386
    Convert Cubic Inches to Liters = Cubic Inches X .016386 
    Engine in Liters = (Bore(mm) X Bore(mm) X Stroke(mm) X Number of Cylinders X 12.87) / (16386 X 1000)
    Engine in CCs = (Bore(mm) X Bore(mm) X Stroke(mm) X Number of Cylinders X 12.87) / 16386
    Convert CCs to Cubic Inches = CCs / 16.386

    Convert Liters to Cubic Inches = Liters / .016386

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