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Hydraulic Flow Power: Power magnitude Calculator

Hydraulic Flow Power: Calculate power magnitude from Pressure magnitude, Volumetric flow rate. Check the formula, input units and worked result on this page.

Enter your values

Pa
Formula symbol: p. Required unit: Pa. Must be greater than zero.
m³/s
Formula symbol: Qᵥ. Required unit: m³/s. Must be greater than zero.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. Pressure is the difference across the flow. Result is power transferred to the fluid; pump and motor efficiency are not included.
Example result
Power magnitude
337.5 W

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Use hydraulic flow power with the units stated beside the fields. This form solves for power magnitude; enter the known quantities in Pressure magnitude, Volumetric flow rate.

Inputs and units
Hydraulic Flow Power: Power magnitude Calculator · Inputs and units
InputExample valueWhat to enter
Pressure magnitude22,500 PaFormula symbol: p. Required unit: Pa. Must be greater than zero.
Volumetric flow rate0.015 m³/sFormula symbol: Qᵥ. Required unit: m³/s. Must be greater than zero.
P = (1 × p × Qᵥ)

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Pressure magnitude
22,500 Pa
Volumetric flow rate
0.015 m³/s

Complete example results

Power magnitude
337.5 W

Reading the result

The result solves for power magnitude from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the power magnitude result?

This model uses positive magnitudes. Pressure is the difference across the flow. Result is power transferred to the fluid; pump and motor efficiency are not included.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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