kW to PSI

Work out the pressure a hydraulic pump can generate from its drive power, flow rate and efficiency.

kW to PSI Calculator

bar = kW × η × 600 ÷ L/min
15 kW
kW
30 L/min
L/min
85 %
%
Quick values

At a glance

bar = kW × η × 600 ÷ L/min
Pressure
3,698 psi
Drive power
15 kW
Flow rate
30 L/min
Pump efficiency
85 %

Every diagram and table on this page updates with the calculator above.

Output

Live
Pressure
3,698psi
bar = (12.75 kW × 600) ÷ 30 L/min = 255 bar (3,698 psi)
In bar255 bar
In kilopascals25,500 kPa
Hydraulic power12.75 kW

The Hydraulic Power Formula

kW = bar × L/min ÷ 600

The fundamental relationship — hydraulic power is pressure multiplied by flow.

bar = kW × efficiency × 600 ÷ L/min

Rearranged for pressure. Multiply bar by 14.5038 for psi.

Power, pressure and flow are locked together. You cannot raise pressure at constant flow without supplying more input power — the physics does not permit it, whatever the catalogue implies.

The conversion

Live
Input15kW
Result3,698.5psi
Drive power to system pressure

Pressure and Flow Share the Same Power

A fixed motor can deliver high pressure at low flow, or high flow at low pressure, but never both. This trade-off is why hydraulic systems use variable-displacement pumps, accumulators and load-sensing controls.

  • High pressure, low flow — presses, clamping, holding circuits.
  • Low pressure, high flow — fast cylinder extension, rapid traverse.
  • Accumulators — store energy at low flow and release it quickly, letting a small pump do a big job intermittently.

Operating point

Live
Drive power15 kW
Flow rate30 L/min
System pressure
255 bar
Pump operating point

Efficiency Eats Into Available Pressure

Pump typeOverall efficiencyTypical max pressure
External gear80 – 85%250 bar
Internal gear85 – 90%300 bar
Vane82 – 88%175 bar
Axial piston88 – 93%350 – 450 bar
Radial piston90 – 95%700 bar

Losses appear as heat in the oil, which is why hydraulic systems need coolers and why a poorly matched pump shows up first as a rising tank temperature.

Efficiency bands

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Poor
Gear
Vane
Piston
85 %
Your assumed efficiency against pump families

Pressure by Flow Rate

Available pressure across a range of flow rates at your drive power and efficiency.

Pressure chart

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L/minPressure (bar)Pressure (psi)
5 L/min1,53022,191
10 L/min76511,095
15 L/min5107,397
20 L/min382.55,548
30 L/min2553,698
40 L/min191.32,774
50 L/min1532,219
75 L/min1021,479
100 L/min76.51,110
150 L/min51740
200 L/min38.3555
300 L/min25.5370

Pressure for Every Power and Flow

Use this to check quickly whether a proposed power unit can reach the pressure a circuit needs at its required flow.

Pressure lookup grid

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bar for each kW × L/min combination
kW10 L/min20 L/min30 L/min60 L/min100 L/min
4 kW204102683420
7.5 kW3831911286438
11 kW5612811879456
15 kW76538325512877
22 kW1,122561374187112
37 kW1,887944629315189
55 kW2,8051,403935468281

From Pressure to Cylinder Force

Pressure only becomes useful once it acts on an area. This is the step that turns a pump specification into the force a machine can actually exert.

Force (kN) = pressure (bar) × area (cm²) ÷ 100

Use the full bore area for extension, and bore minus rod area for retraction.

An 80 mm bore cylinder at 255 bar

Given
  • Bore: 80 mm → area 50.3 cm²
  • Pressure: 255 bar
Working
  1. Force = 255 × 50.3 ÷ 100
  2. Force = 128 kN

About 128 kN, or roughly 13 tonnes of push force on extension.

Retraction force is always lower, because the rod occupies part of the piston area on the annulus side.

Pressure against flow

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7,65001400Flow rate (L/min)
30 L/min255 bar
Available pressure across the whole flow range at your drive power

Never Design to the Theoretical Figure

This calculation is a capability, not a setting

It tells you what the pump could produce. The relief valve setting, hose ratings and cylinder ratings decide what the system is actually allowed to do.

Before commissioning
  • Relief valve set below the lowest-rated component in the circuit.
  • Hose and fitting pressure ratings confirmed, including a safety factor.
  • Cylinder and valve ratings above the relief setting.
  • Cooling adequate for the heat generated by system losses.
  • Pressure gauges fitted at the points you will actually need to read.
  • Stored energy in accumulators safely discharged before maintenance.

Note: Theoretical figure. Never exceed component pressure ratings or relief valve settings.

Pressure gauge

Live
0400
255 barSystem pressure

kW to PSI Questions

Common questions about converting kw to psi.

You also need flow: bar = kW × efficiency × 600 ÷ L/min, then multiply bar by 14.5038 for psi. Power alone is not a pressure.

About 255 bar, or roughly 3,700 psi, at 85% efficiency.

14.5038 psi. One bar is also 100 kPa.

Power is pressure times flow. With input power fixed, raising the flow must lower the pressure the pump can sustain.

About 80% for gear pumps, 85% for vane pumps and up to 92% for axial piston pumps. Use the manufacturer curve wherever possible.

Force in kN = pressure in bar × piston area in cm² ÷ 100. Use the annulus area for the retract stroke.