Fluid Power Formulas Cylinder Speed and Motor Torque Fluid Pressure Pounds/Square Inch Pressure=Force (pounds) /Unit Area (Square Inches) P=F/A or psi=F/A Cylinder Area Square Inches Area= p x Radius2 inches A=pr2 Area=(p/4)x Diameter2 inches A=pD2/4 or A=0.785D2 Cylinder Force Pounds Force= Pressure (psi) x Net Area (square inches) F=psi x A or F=PA Cylinder Speed Feet/second Velocity= (231 x Flow rate (gpm))/(12x60xNet Area (square inches)) V=231Q/720A or V=0.3208Q/A Cylinder Volume Capacity Gallons Volume=(pxRadius2(inches)x Stroke (inches) )/231 V=pr2L/231 Volume=Net Area (square inches) x Stroke (inches)/231 V=AL/231 L=stroke length Cylinder Flow Rate Gallons per minute Flow Rate=(12x60xVelocity(feet/sec) xNet Area(square inches))/231 Q=720vA/231 or Q=3.117vA Fluid Motor Torque Inch pounds Torque=(Pressure(psi)xF.M.Displacement(cubic inch/rev))2p T=psi d/2p or T=Pd/2p Torque=(Horsepowerx63025/RPM T=63025 HP/n Torque=Flow Rate(gpm)xPressure(psi)x36.77/RPM T=36.77QP/n or T=36.77psi/n Fluid Motor Torque/100psi Inch pounds Torque/100psi=F.M. Displacement (cubic inches/rev)/.0628 T100psi=d/.0628 Fluid Motor Speed Revolutions/Minute Speed=231 x Flow rate (gpm)/F.M. Displacement (cubic inches /revolution) n=231Q/d Fluid Motor Power Horsepower Output Horsepower=Torque Output (inch pounds) x RPM/63025 HP=Tn/63025 Pump Outlet Flow Gallons per Minute Flow= RPM x Pump Displacement (cubic inches/revolution)/231 Q=nd/231 Pump Input Power Horsepower required Horsepower input=Flow Rate Output (gpm) x Pressure (psi)/1714 x Efficiency (Overall) Hpin=QP/1714Eff or Hpin=GPM x psi/1714Eff Flow Rate Through Pipe Feet/Second Velocity=0.3208 x Flow rate Through I.D. (gpm)/Internal Area (square inches) V=0.3208/A Compressibility of Oil Additional Oil required to reach Pressure Additional Volume=Pressure(psi)xVolumeof Oil Under Pressure/250,000 VA=PV/250,000 Approximately ½% per 1000 psi
 Fluid Power Formulas, Fluid Pressue, Cylinder Area, Cylinder Force, Cylinder Speed, Cylinder Volume, Flow Rate, Fluid Motor Torque, Fluid Motor Speed, Fluid Motor Power, Fluid Motor Outlet Flow, Pump Input Power, Flow Rate Through Pipes, Compressibility of Oil, Hydraulic Motors, Hydraulic Cylinders, Hydraulic Pumps, Pneumatic Cylinders, Pneumatic Motors
 Numberfactory: Fluid Power Formulas