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Fluid Power Information Center
Hydraulic Actuator Formulas
Formula For: Word Formula: Letter Formula:
CYLINDER AREA
in Square Inches		 AREA = 3.14 x RADIUS2(Inches) A = 3.14r 2
AREA= 3.14
x DIAMETER2
4
A  = 3.14D2
or A  = 0.785D2
4
CYLINDER FORCE
in Pounds, Push or Pull		 FORCE = PRESSURE(PSIG)x NET AREA(Square Inches) (Inches2) F = PA
CYLINDER VELOCITY or SPEED
in  inches/Minute
VELOCITY  = 213 (In3/gal) x FLOW RATE (GPM)
NET AREA(Inches2)
V  = 231Q
A
CYLINDER VOLUME CAPACITY
in Gallons of Fliud
VOLUME  = NET AREA (Inches2) x STROKE(Inches)
231
V  = .785D2 S
231
CYLINDER FLOW RATE
in Gallons per minute
FLOW RATE  =  VELOCITY(In/Min) x NET AREA (Inches2)
231(In3/gal)
Q  = VA
or Q = 4.33x10-10VA
231
FLUID MOTOR TORQUE
in Inch Pounds
TORQUE  = PRESSURE(PSIG) x F.M. DISPLACEMENT(Cu. In./Rev.)
2 x 3.14
T  = Pd
2 x 3.14
TORQUE  = HORSEPOWER x 63025
RPM
T  = 63025 HP
n
TORQUE  = FLOW RATE(GPM) x PRESSURE(PSIG) x 36.77
RPM x EFF
T  = 36.77QP
 
n x EFF
FLUID MOTOR TORQUE/100 PSIG
in Inch Pounds
TORQUE/100 PSIG  = F.M. DISPLACEMENT(Cu. Inches/Revolution)
0.0628
T/100 PSIG  = d
0.0628
FLUID MOTOR SPEED
in Revolution/Minute
SPEED  = 231(In3/gal) x FLOW RATE(GPM)
F.M. DISPLACEMENT(Cu. Iches/Revolution)
n  = 231Q
d
FLUID MOTOR POWER
in Horsepower Output
HORSEPOWER  = TORQUE OUTPUT(Inch Pounds) x RPM
63025
HP  = Tn
63025
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