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Hydraulic Pump Formulas
Formula For: Word Formula: Letter Formula:
PUMP OUTLET FLOW
in Gallons/Minute
FLOW  = RPM x PUMP DISPLACEMENT(Cu. In./Rev.)

231
Q  = nd

231
PUMP INPUT POWER
in Horsepower Required
HORSEPOWER INPUT  = FLOW RATE OUTPUT(GPM) x PRESSURE(PSIG)

1714 x EFFICIENCY(Overall)
HP  = QP

or
1714 Eff
GPM x PSIG

1714 Eff
PUMP EFFICIENCY
OVERALL IN PERCENT
OVERALL EFFICIENCY (%)  = OUTPUT HORSEPOWER

x 100
INPUT HORSEPOWER
EffOV.  = HPOUT

x 100
HPIN
OVERALL EFFICIENCY (%)  = VOLUMETRIC Eff. x MECHANICAL Eff.
EffOV.  = EffVOL x EffMECH
PUMP EFFICIENCY
VOLUMETRIC IN PERCENT
VOLUMETRIC EFFICIENCY (%)  = ACTUAL FLOW RATE OUTPUT(GPM)

x 100
THEORETICAL FLOW RATE OUTPUT(GPM)
EffVOL  = QACT.

x 100
QTHEO.
PUMP EFFICIENCY
MECHANICAL IN PERCENT
MECHANICAL EFFICIENCY (%)  = THEORETICAL TORQUE TO DRIVE

x 100
ACTUAL TORQUE TO DRIVE
EffMECH  = TTHEO.

x 100
TACT.
PUMP DISPLACEMENT
IN CUBIC INCHES/REVOLUTION
DISPLACEMENT  = FLOW RATE(GPM) x 231

PUMP RPM
CIPR  = GPM x 231

RPM
PUMP TORQUE
IN INCH POUNDS
TORQUE  = HORSEPOWER x 63025

RPM
T  = 63025 HP

RPM
PUMP TORQUE
IN INCH POUNDS
TORQUE  = PRESSURE(PSIG) x PUMP DISPLACEMENT(CIPR)

2 x 3.14
T  = PSIG d

2 x 3.14
or T  = Pd

2 x 3.14
PUMP LIFE
B10 BEARING LIFE
B10 HOURS OF BEARING LIFE = RATED LIFE HOURS x RATED SPEED(RPM) x (RATED PRESSURE(PSIG))3


NEW SPEED(RPM) (NEW PRESSURE(PSIG))3
B10 = RATED HRS. x RPMr x (P r)3


RPMn (P n)3
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