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Hydraulic Calculations for Pumps, Motors, and Cylinders

You can use the equations below as your handy references for calculating pump outputs, motor speeds, cylinder areas, and other important data. Contact HQI Hydraulics for further hydraulic support!


Bookmark this page for all of the hydraulics formulas you need!

Hydraulic Calculations Data

Gear Pump:


How do I size my pump?

(6 x Width of gear(2 x Diameter of gear - Length across the gear housing) x (Diameter of gear - Length across the gear housing) / 2)


Pump Output:


How do I determine how much flow my pump puts out?

(Cu/In Displacement x RPM) / 231


Pump HP Required:


How much horsepower does it take to turn my pump?

(Pressure x Flow in GPM) / 1714


Speed of a Motor:


How do I determine the speed of my hydraulic motor?

(Flow in GPM x 231) / Cu/In Displacement


Torque of a Hydraulic Motor:


How much torque does my motor develop?

(Cu/In Displacement x Pressure) / 75.36


HP of a Hydraulic Motor:


How much horsepower does my motor develop?

(Foot pounds of torque x RPM) / 5252


Area of a Cylinder Bore:


How do I determine the area of my cylinder bore?

((Bore / 2)^2) x 3.14


Area of a Cylinder Rod:


How do I determine the area of my cylinder rod?

((Rod / 2)^2) x 3.14


Volume Needed to Extend a Cylinder:


How do I determine how much oil is needed to extend my cylinder?

((3.14 x (Bore / 2)^2) x Stroke)/231


Volume Needed to Retract a Cylinder:


How do I determine how much oil is needed to retract my cylinder?

((3.14*(Bore / 2)^2 - (3.14 x (Rod / 2)^2)) x Stroke) / 231


Extend Force of a Cylinder:


How much force does my cylinder develop on extending?

(3.14 x ((Bore/2)^2) x Pressure)


Retract Force of a Cylinder:


How much force does my cylinder develop on retract?

(3.14 x ( Bore / 2)^2 - (3.14 x ( Rod / 2)^2)) x Pressure


Volume Needed to Fill a Reservoir:


How do I determine how much oil is in my reservoir?

(Length x Width x Height) / 231


As a general rule of thumb, for every:


1 HP of the drive, the equivalent of 1 GPM @ 1500 PSI can be produced.

We're ready to help you with all of your hydraulic lifts, jacks, hoses, fittings, and quick couplers. For sales and service on any brand of hydraulic equipment, give us a call and let us put your machinery back to work. Contact us today!

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