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# Hydraulic Pump Motor Sizing

## Motor size vs. flow rate, shaft torque, shaft power and hydraulic power.

Equations for hydraulic pumps:

### Flow rate

Q = D n / 1000                                     (1)

where

Q = flow rate (l/min)

D = displacement of piston (cm 3 /rev)

n = revolutions (rpm)

• rev = revolution
• rpm = revolution per minute

### Shaft Torque

T = D p / 20 π                               (2)

where

T = torque (Nm)

p = pressure (bar)

### Shaft Power

P s = T n / 9554                            (3)

where

P s = shaft power (kW)

### Hydraulic Power

P h = Q p / 600                           (4)

where

P h = hydraulic power (kW)

## Related Topics

• ### Hydraulics and Pneumatics

Hydraulic and pneumatic systems - fluids, forces, pumps and pistons.

## Related Documents

• ### Comparing Hydraulic Pumps

Comparing different types of hydraulic pumps and their maximum pressures and flow.
• ### Hydraulic Cylinder Area vs. Diameter

Typical hydraulic cylinders and acting area vs. cylinder diameter.
• ### Hydraulic Cylinders - Volume Displacement

The volumetric displacement of hydraulic cylinders.
• ### Hydraulic Force vs. Pressure and Cylinder Size

Calculate hydraulic cylinder force.
• ### Hydraulic Oil Pump - Horsepower vs. Pressure and Volume Flow

The power required for hydraulic pumping.
• ### Hydraulic Pump Volume Capacity

Calculate hydraulic pump volume capacity.
• ### Positive Displacement Pumps

Introduction tutorial to positive displacement pumps basic operating principles.
• ### Pump Power Calculator

Calculate pumps hydraulic and shaft power.

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## Citation

• The Engineering ToolBox (2010). Hydraulic Pump Motor Sizing. [online] Available at: https://www.engineeringtoolbox.com/hydraulic-pumps-d_1628.html [Accessed Day Month Year].

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