Pump Power Calculator

Pump Power Calculator

Flow Rate (Q) [m³/s] *

Head (H) [m] *

Fluid Density (ρ) [kg/m³] *

Efficiency (η) [%] *

Results

Pump Power (P): 0 W

Data Source and Methodology

Calculations are based on standard fluid mechanics formulas and data provided by Engineering Toolbox. All calculations are strictly based on the formulas and data provided by this source.

The Formula Explained

P = \frac{Q \times H \times \rho \times g}{\eta}

Where:

P = Power (W)
Q = Flow Rate (m³/s)
H = Head (m)
ρ = Density (kg/m³)
g = Gravity (9.81 m/s²)
η = Efficiency (as a decimal)

Glossary of Variables

Flow Rate (Q): Volume of fluid moved per second.
Head (H): Height the fluid is raised by the pump.
Fluid Density (ρ): Mass per unit volume of the fluid.
Efficiency (η): Ratio of useful power output to the total power input.

How It Works: A Step-by-Step Example

For example, if you have a flow rate of 0.1 m³/s, a head of 20 m, a density of 1000 kg/m³, and an efficiency of 75%, the pump power can be calculated as follows:

P = (0.1 × 20 × 1000 × 9.81) / 0.75 = 26168 W

Frequently Asked Questions (FAQ)

What is pump power?

Pump power is the energy supplied to the pump to move fluid.

How do you calculate pump power?

Pump power can be calculated using the formula: P = Q × H × ρ × g / η, where P is power, Q is flow rate, H is head, ρ is fluid density, g is gravity, and η is efficiency.

Why is efficiency important in pump calculations?

Efficiency determines the effectiveness of energy use, impacting operational costs and energy consumption.

What units are used in pump power calculations?

Common units include cubic meters per second (m³/s) for flow rate, meters (m) for head, kilograms per cubic meter (kg/m³) for density, and watts (W) for power.

Can this calculator be used for any type of fluid?

Yes, as long as the density and other parameters are correctly input, the calculator can handle different fluids.

Audit: Complete

Formula (LaTeX) + variables + units

This section shows the formulas used by the calculator engine, plus variable definitions and units.

Formula (extracted LaTeX)

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Formula (extracted text)

P = \frac{Q \times H \times \rho \times g}{\eta}

Variables and units

No variables provided in audit spec.

Sources (authoritative):

Engineering Toolbox — engineeringtoolbox.com · Accessed 2026-01-19
https://www.engineeringtoolbox.com/pumps-power-d_505.html

Changelog

Version: 0.1.0-draft
Last code update: 2026-01-19

0.1.0-draft · 2026-01-19

Initial audit spec draft generated from HTML extraction (review required).
Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
Confirm sources are authoritative and relevant to the calculator methodology.

Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

``` , ', svg: { fontCache: 'global' } };

Pump Power Calculator

Flow Rate (Q) [m³/s] *

Head (H) [m] *

Fluid Density (ρ) [kg/m³] *

Efficiency (η) [%] *

Results

Pump Power (P): 0 W

Data Source and Methodology

Calculations are based on standard fluid mechanics formulas and data provided by Engineering Toolbox. All calculations are strictly based on the formulas and data provided by this source.

The Formula Explained

P = \frac{Q \times H \times \rho \times g}{\eta}

Where:

P = Power (W)
Q = Flow Rate (m³/s)
H = Head (m)
ρ = Density (kg/m³)
g = Gravity (9.81 m/s²)
η = Efficiency (as a decimal)

Glossary of Variables

Flow Rate (Q): Volume of fluid moved per second.
Head (H): Height the fluid is raised by the pump.
Fluid Density (ρ): Mass per unit volume of the fluid.
Efficiency (η): Ratio of useful power output to the total power input.

How It Works: A Step-by-Step Example

For example, if you have a flow rate of 0.1 m³/s, a head of 20 m, a density of 1000 kg/m³, and an efficiency of 75%, the pump power can be calculated as follows:

P = (0.1 × 20 × 1000 × 9.81) / 0.75 = 26168 W

Frequently Asked Questions (FAQ)

What is pump power?

Pump power is the energy supplied to the pump to move fluid.

How do you calculate pump power?

Pump power can be calculated using the formula: P = Q × H × ρ × g / η, where P is power, Q is flow rate, H is head, ρ is fluid density, g is gravity, and η is efficiency.

Why is efficiency important in pump calculations?

Efficiency determines the effectiveness of energy use, impacting operational costs and energy consumption.

What units are used in pump power calculations?

Common units include cubic meters per second (m³/s) for flow rate, meters (m) for head, kilograms per cubic meter (kg/m³) for density, and watts (W) for power.

Can this calculator be used for any type of fluid?

Yes, as long as the density and other parameters are correctly input, the calculator can handle different fluids.

Audit: Complete

Formula (LaTeX) + variables + units

This section shows the formulas used by the calculator engine, plus variable definitions and units.

Formula (extracted LaTeX)

\[','\]

','

Formula (extracted text)

P = \frac{Q \times H \times \rho \times g}{\eta}

Variables and units

No variables provided in audit spec.

Sources (authoritative):

Engineering Toolbox — engineeringtoolbox.com · Accessed 2026-01-19
https://www.engineeringtoolbox.com/pumps-power-d_505.html

Changelog

Version: 0.1.0-draft
Last code update: 2026-01-19

0.1.0-draft · 2026-01-19

Initial audit spec draft generated from HTML extraction (review required).
Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
Confirm sources are authoritative and relevant to the calculator methodology.

Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

``` ]], displayMath: [['\\[','\\]']] }, svg: { fontCache: 'global' } };, svg: { fontCache: 'global' } };

Pump Power Calculator

Flow Rate (Q) [m³/s] *

Head (H) [m] *

Fluid Density (ρ) [kg/m³] *

Efficiency (η) [%] *

Results

Pump Power (P): 0 W

Data Source and Methodology

Calculations are based on standard fluid mechanics formulas and data provided by Engineering Toolbox. All calculations are strictly based on the formulas and data provided by this source.

The Formula Explained

P = \frac{Q \times H \times \rho \times g}{\eta}

Where:

P = Power (W)
Q = Flow Rate (m³/s)
H = Head (m)
ρ = Density (kg/m³)
g = Gravity (9.81 m/s²)
η = Efficiency (as a decimal)

Glossary of Variables

Flow Rate (Q): Volume of fluid moved per second.
Head (H): Height the fluid is raised by the pump.
Fluid Density (ρ): Mass per unit volume of the fluid.
Efficiency (η): Ratio of useful power output to the total power input.

How It Works: A Step-by-Step Example

For example, if you have a flow rate of 0.1 m³/s, a head of 20 m, a density of 1000 kg/m³, and an efficiency of 75%, the pump power can be calculated as follows:

P = (0.1 × 20 × 1000 × 9.81) / 0.75 = 26168 W

Frequently Asked Questions (FAQ)

What is pump power?

Pump power is the energy supplied to the pump to move fluid.

How do you calculate pump power?

Pump power can be calculated using the formula: P = Q × H × ρ × g / η, where P is power, Q is flow rate, H is head, ρ is fluid density, g is gravity, and η is efficiency.

Why is efficiency important in pump calculations?

Efficiency determines the effectiveness of energy use, impacting operational costs and energy consumption.

What units are used in pump power calculations?

Common units include cubic meters per second (m³/s) for flow rate, meters (m) for head, kilograms per cubic meter (kg/m³) for density, and watts (W) for power.

Can this calculator be used for any type of fluid?

Yes, as long as the density and other parameters are correctly input, the calculator can handle different fluids.

Audit: Complete

Formula (LaTeX) + variables + units

This section shows the formulas used by the calculator engine, plus variable definitions and units.

Formula (extracted LaTeX)

\[','\]

','

Formula (extracted text)

P = \frac{Q \times H \times \rho \times g}{\eta}

Variables and units

No variables provided in audit spec.

Sources (authoritative):

Engineering Toolbox — engineeringtoolbox.com · Accessed 2026-01-19
https://www.engineeringtoolbox.com/pumps-power-d_505.html

Changelog

Version: 0.1.0-draft
Last code update: 2026-01-19

0.1.0-draft · 2026-01-19

Initial audit spec draft generated from HTML extraction (review required).
Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
Confirm sources are authoritative and relevant to the calculator methodology.

Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

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