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Basic Formulas
U.S. Gear Drive Formulas
Metric Gear Drive Formulas
U.S. Motor Formulas
Metric Motor Formulas
Pump Formulas
Metric Units to English Conversions

Convert measurements online at www.onlineconversion.com.

Formulas and Conversion Factors

Basic Formulas
Fluid Pressure =
Force (Pounds)
Unit Area (Square Inches)
Fluid Flow Rate=
Volume (Gallons)
Unit Time (Minute)
Fluid Power in Horsepower =
Pressure (PSI) x Flow (GPM)
1714
U.S. Gear Drive Formulas
Torque (in-lb) = hp x 63025 / rpm
Horsepower (hp)= in-lb x rpm / 63025
Pitch Dia= Teeth / Diametral Pitch
Thermal input (Watts) = hp x (1 - eff) x 745.7
Output Torque = Input Torque x Ratio x Gear Drive Efficiency
Output rpm = Input rpm / Ratio
Metric Gear Drive Formulas
Nm =
kW x 46326.77
RPM
kW =
Nm x RPM
46326.77
Thermal input (Watts) =
kW x (1-eff)
556.08
Output TQ =
Input TQ x Ratio x Gear Drive Efficiency
Output rpm =
Input rpm / Ratio
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U.S. Motor Formulas
hp = gpm x psi / 1714
hp = in-lb x rpm / 63025
in3 = (in-lb x 6.283) / (psi x eff)
in-lb = psi x in3 x eff / 6.283
in-lb = hp x 63025 / rpm
gpm = rpm x in3 / 231
rpm = gpm x 231 / in3
eff = (in-lb x 6.283) / (psi x in3)
in-lb = gpm x psi x eff x 36.77 / rpm
psi = (in-lb x 6.283) / (in3 x eff)
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Metric Motor Formulas
kW = L/min x bar / 70148.25
kW = Nm x rpm / 46326.77
cm3 = (Nm x 170.7) / (bar x eff)
Nm = bar x cm3 x eff / 170.7
Nm = kW x 46326.77 / rpm
L/min = rpm x cm3 / 125.25
rpm = L/min x 125.25 / cm3
eff = (Nm x 170.7) / (bar x cm3)
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Pump Formulas
Pump Outlet Flow =
RPM x Pump Displacement (Cu. In./Rev.)
231
Pump Input Power in Horsepower =
Flow Rate Output (GPM) x Pressure (PSI)
1714 x Efficiency (Overall)
Overall Efficiency =  
Output Horsepower
Input Horsepower
x 100
Overall Efficiency =
Volumetric Eff. x Mechanical Eff.
Volumetric Efficiency =
Actual Flow Rate Output (GPM)
Theoretical Flow Rate Output (GPM)
x 100
Mechanical Efficiency =
Theoretical Torque to Drive
Actual Torque to Drive
x 100
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Metric to U.S. Conversion
kW = 1.341 hp
bar = 14.5 psi
Nm = 8.8496 in-lb
daNm = 88.496 in-lb
kg-m = 86.796 in-lb
L/min = .2642 gpm
cm3 = .061 in3
L = 2.114 Pints
C° = (F° - 32) / 1.8

 

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