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802 W Cotton Street, Longview, TX 75604 (903) 757-7502
Tejas Hydraulics

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Home>Resources>Formulas

Formulas

Hydraulic Formulas PDF

Pump Formulas

Pump Displacement (IN³/REV)

D = Q x 231 ÷ RPM

  • D = Displacement (in³/rev)
  • Q = Flow (gpm)
  • RPM = Speed (rpm)

D = T x 75.4 ÷ P

  • D = Displacement (in³/rev)
  • T = Torque (ft-lb)
  • P = Pressure (psi)

Pump Flow (GPM)

Q = HP x 1714 ÷ P

  • Q = Flow (gal/min)
  • HP = Power (hp)
  • P = Pressure (psi)

Q = D x RPM ÷ 231

  • Q = Flow (gpm)
  • D = Displacement (in³/rev)
  • RPM = Speed (rpm)

Pump Horsepower (HP)

HP = P x Q ÷ 1714

  • HP = Power (hp)
  • P = Pressure (psi)
  • Q = Flow (gpm)

HP = P x RPM x D ÷ 395934

  • HP = Power (hp)
  • P = Pressure (psi)
  • RPM = Speed (rpm)
  • D = Displacement (in³/rev)

Pump Pressure (PSI)

P = HP x 1714 ÷ Q

  • P = Pressure (psi)
  • HP = Power (hp)
  • Q = Flow (gpm)

P = HP x 395934 ÷ RPM ÷ D

  • P = Pressure (psi)
  • HP = Power (hp)
  • RPM = Speed (rpm)
  • D = Displacement (in³/rev)

Pump Speed (RPM)

RPM = Q x 231 ÷ D

  • RPM = Speed (rpm)
  • Q = Flow (gpm)
  • D = Displacement (in³/rev)

RPM = HP x 5252 ÷ T

  • RPM = Speed (rpm)
  • HP = Power (hp)
  • T = Torque (ft-lb)

Pump Torque (FT-LB)

T = HP x 5252 ÷ RPM

  • T = Torque (ft-lb)
  • HP = Power (hp)
  • RPM = Speed (rpm)

T = D x P ÷ 75.4

  • T = Torque (ft-lb)
  • D = Displacement (in³/rev)
  • P = Pressure (psi)

Motor Formulas

Motor Torque (FT-LB)

T = HP x 5252 ÷ RPM

  • T = Torque (ft-lb)
  • HP = Power (hp)
  • RPM = Speed (rpm)

T = D x P ÷ 75.4

  • T = Torque (ft-lb)
  • D = Displacement (in³/rev)
  • P = Pressure (psi)

Motor Speed (RPM)

RPM = Q x 231 ÷ D

  • RPM = Speed (rpm)
  • Q = Flow (gpm)
  • D = Displacement (in³/rev)

RPM = HP x 5252 ÷ T

  • RPM = Speed (rpm)
  • HP = Power (hp)
  • T = Torque (ft-lb)

Motor Horsepower (HP)

HP = T x RPM ÷ 5252

  • HP = Power (hp)
  • T = Torque (ft-lb)
  • RPM = Speed (rpm)

HP = P x Q ÷ 1714

  • HP = Power (hp)
  • P = Pressure (psi)
  • Q = Flow (gpm)

HP = P x RPM x D ÷ 395934

  • HP = Power (hp)
  • P = Pressure (psi)
  • RPM = Speed (rpm)
  • D = Displacement (in³/rev)

Motor Pressure (PSI)

P = T x 75.4 ÷ D

  • P = Pressure (psi)
  • T = Torque (ft-lb)
  • D = Displacement (in³/rev)

P = HP x 1714 ÷ Q

  • P = Pressure (psi)
  • HP = Power (hp)
  • Q = Flow (gpm)

P = HP x 395934 ÷ RPM ÷ D

  • P = Pressure (psi)
  • HP = Power (hp)
  • RPM = Speed (rpm)
  • D = Displacement (in³/rev)

Motor Flow (GPM)

Q = HP x 1714 ÷ P

  • Q = Flow (gpm)
  • HP = Power (hp)
  • P = Pressure (psi)

Q = D x RPM ÷ 231

  • Q = Flow (gpm)
  • D = Displacement (in³/rev)
  • RPM = Speed (rpm)

Motor Displacement (IN³/REV)

D = Q x 231 ÷ RPM

  • D = Displacement (in³/rev)
  • Q = Flow (gpm)
  • RPM = Speed (rpm)

D = T x 75.4 ÷ P

  • D = Displacement (in³/rev)
  • T = Torque (ft-lb)
  • P = Pressure (psi)

Cylinder Formulas

Cylinder Bore (IN)

BORE = DIA = C ÷ π

  • DIA = Piston Diamaeter (in)
  • C = Circumference (in)
  • π = 3.14159

DIA = sqrt (F ÷ P ÷ 0.785)

  • DIA = Piston Diameter (in)
  • F = Force (lb)
  • P = Pressure (psi)

Cylinder Piston Area (IN²)

A = DIA² x 0.785

  • A = Area (in²)
  • DIA = Piston Diameter (in)

A = F ÷ P

  • A = Area (in²)
  • F = Force (lb)
  • P = Pressure (psi)

Cylinder Force (LB)

F = A x P

  • F = Force (lb)
  • A = Area of Piston (in²)
  • P = Pressure (psi)

F = DIA² x P x 0.785

  • F = Force (lb)
  • DIA = Piston Diameter (in)
  • P = Pressure (psi)

Cylinder Pressure (PSI)

P = F ÷ A

  • P = Pressure (psi)
  • F = Force (lb)
  • A = Flow (gpm)

Cylinder Speed (IN/SEC)

Extend Speed
​S = Q x 4.904 ÷ DIA²

  • S = Speed (in/sec)
  • Q = Flow (gpm)
  • DIA = Piston Diameter (in)

Retract Speed
​S = Q x 4.904 ÷ (pDIA² – rDIA²)

  • S = Speed (in/sec)
  • Q = Flow (gpm)
  • pDIA = Piston Diameter (in)
  • rDIA = Rod Diameter (in)

Cylinder Flow (GPM)

Q = S x DIA² ÷ 4.904

  • Q = Flow (gpm)
  • S = Speed (in/sec)
  • DIA = Piston Diameter (in)

Cylinder Volume (GAL)

V = A x L ÷ 231

  • V = Volume (gal)
  • A = Area of Piston (in²)
  • L = Length of Stoke (in)

V = DIA² x L ÷ 294.27

  • V = Volume (gal)
  • DIA = Piston Diameter (in)
  • L = Length of Stoke (in)

Reservoir Formulas

Reservoir Volume (GAL)

V = L x W x H ÷ 231

  • V = Volume (gal)
  • L = Length (in)
  • W = Width (in)
  • H = Height of Oil (in)

Saddle Tank Volume (GAL)

V = DIA² x L x ÷ 294.27

  • V = Volume (gal)
  • DIA = Tank Diameter (in)
  • L = Tank Length (in)
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802 W Cotton Street, Longview, TX 75604

(903) 757-7502

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