Cylinder Area (Sq.In.)

Piston Surface Area in2
= (
Internal Bore Dia. in.
/ 2) ×
π (3.14)

(Bore Diameter)/2)2 × π(3.14) = Piston Surface Area

Use this to find the area in working square inches on hte barrel side of the piston in square inches.

Cylinder Rod End Area (Sq.In.)

Piston Surface Area in2
= ((
Internal Bore in.
/ 2)2
- (
Outside Rod Dia. in.
/ 2)2)

((Bore Diameter / 2)2 - (Rod Diameter / 2)2) × 3.14 = Rod Side Piston Surface Area

Use this to find the working surface area on the rod side of the piston in square inches.

Cylinder Volume

Gal (Volume)
=
Piston Surface Area in2
×
Distance of Travel in inches
231

Piston Surface Area × Stroke / 231 = Gallons (Volume)

Use this to determine volume of oil to fill a cylinder

Cylinder Force

lbf. (Pounds of Force)
=
PSI (Pressure)
×
sq. in. (Area)

(Cyl. Area) in2 × PSI = (Pounds of Force) LBF.

Determine how much force will be applied with a certain cylinder and psi. You can also work backwards to find out what psi you would need to run to achieve a specific amount of force.

Cylinder Flow Rate (and Velocity)

GPM (Flow)
=
in.2 (Area)
×
in. (Stroke Travel)2
×
60
sec (Time) × 231

CYLINDER AREA IN2 × CYLINDER STROKE × 60 ÷ TIME IN SECONDS × 231 = GPM

Use this to find the rate of flow based on cylinder speed or use to calculate the speed your cylinder will travel based on your GPM.

Pump Input Horsepower

HP (Power)
=
PSI (Pressure)
×
GPM (Flow)
1714 ×
% (Pump Efficiency)

PSI × GPM ÷ 1714 × PUMP EFFICIENCY = HP

Determine your required engine horsepower using your PSI and GPM.

Motor Horsepower (Fluid Motor)

HP (Power)
=
lb-in. (Torque)
×
RPM
63025

TORQUE × RPM ÷ 63025 = MOTOR HP

Determine your horsepower using your torque and rpm. Work backwards using your rpm and hp to determine your torque.

Motor Torque

lb-in (Torque)
=
PSI (Pressure)
×
cu.in. / rev. (Motor Displacement)
6.28 (2π)

PSI × MOTOR DISPLACEMENT ÷ 6.28 = MOTOR TORQUE

Determine your motor torque using the psi and motor displacement.

Pump Flow or Displacement

GPM (Flow)
=
RPM
×
cu.in. / Rev. (Displacement)
231

RPM × DISPLACEMENT ÷ 231 = GPM

Determine your pumps gpm or work backwards to figure out your displacement.