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# Hydraulic Pump Volume Capacity

## Calculate hydraulic pump volume capacity.

Hydraulic pump capacity can be estimated in Imperial units as

q = 0.26 A s / t                                         (1)

where

q = pump output capacity (gpm)

A = area of cylinder (in2)

s = piston stroke (in)

t = required time for full stroke (s)

• 1 gpm (US) =6.30888x10-5 m3/s = 0.227 m3/h = 0.06309 dm3(litre)/s = 2.228x10-3 ft3/s = 0.1337 ft3/min = 0.8327 gpm (UK)
• 1 in (inch) = 25.4 mm = 2.54 cm = 0.0254 m = 0.08333 ft
• 1 in2 = 6.452 cm2 = 6.452x10-4 m2 = 6.944x10-3 ft2

Hydraulic pump capacity can be estimated in Metric units as

q = 10-6 A s / t                                         (2)

where

q = pump output capacity (l/s)

A = area of cylinder (mm2)

s = piston stroke (mm)

t = required time for full stroke (s)

Required pump output for hydraulic cylinders ranging 1 - 6 1/2 inches are indicated below. Multiply pump capacity with stroke length (in).

### Example - Required Pump Capacity

A 3" hydraulic cylinder with cylinder area 7.065 in2 makes a 30 inches stroke in 3 seconds. The required pump capacity can be calculated

q = 0.26 (7.065 in2) (30 in) / (3 s)

= 18.4 gpm

## Related Topics

• ### Hydraulics and Pneumatics

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

## Related Documents

• ### 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 Motor Sizing

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

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## Citation

• The Engineering ToolBox (2009). Hydraulic Pump Volume Capacity . [online] Available at: https://www.engineeringtoolbox.com/hydraulic-pump-volume-capacity-d_1465.html [Accessed Day Month Year].

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5.16.12

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