Fluid Power Formulas

Quick hydraulic and pneumatic reference calculators. Enter values, then tap equals for each result.

Force

Force (lbs) = Pressure (psi) × Area (in²)

×

Pump flow (GPM)

GPM = (rpm × Displacement in³) / 231

×/ 231

Hydraulic horsepower

HP = (gpm × psi) / 1,714

×/ 1,714

Torque from pressure

Torque (in·lb) = (psi × Area in²) / 6.28

×/ 6.28

Torque from power

Torque (in·lb) = (HP × 63,025) / rpm

× 63,025 /

Cylinder area

Area (in²) = Diameter² × 0.7854

² × 0.7854

EREA (rod end area)

EREA (in²) = (Bore² × 0.7854) − (Rod² × 0.7854)

²×0.7854 −²×0.7854

Cylinder time

Time (s) = (Area in² × Stroke in × 0.26) / gpm

×× 0.26 /

Cylinder horsepower

HP = (Cyl. speed ft/min × Cyl. force lb) / 33,000

×/ 33,000

Adjusted GPM on retract

gpm = (Cyl. area in² × gpm) / EREA in²

×/

Cylinder speed (stroke & time)

Speed (ft/min) = (Stroke in × 5) / Time (s)

× 5 /

Cylinder speed (flow & area)

Speed (ft/min) = (gpm × 19.25) / Cyl. area in²

× 19.25 /