# Hydraulic Pump Capacity

## Calculate capacities of hydraulic pumps

Hydraulic pump capacity can be calculated as

q = 0.26 A s / t                                         (1)

where

q = pump output capacity (gpm)

A = area of cylinder (square inches)

s = piston stroke (inches)

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

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 pump capacity can be calculated

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

= 18.4 gpm

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