Electrical Engineering

Pump Power Calculator

Quick Answer

Pump power with efficiency: P = density * g * flow_rate * head / efficiency

Calculator

Pump power (W)
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Result Interpretation

The result is computed directly from the entered inputs using P = density * g * flow_rate * head / efficiency.

Worked Example

Verified calculation

Given:

  • density = 1000
  • flow_rate = 0.01
  • head = 20
  • efficiency = 0.7

Expected Result:

  • power = 2801.9

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from verified test cases.

Formula / Method

P = density * g * flow_rate * head / efficiency

Pump power with efficiency deterministic formula family family_pump_power (DETERMINISTIC_AXIOM)

Standards: FormulaLibrary verified formula: family_pump_power

Variables

SymbolLabelRoleDescription
density Fluid density INPUT Fluid density
flow_rate Flow rate INPUT Flow rate
head Total head INPUT Total head
efficiency Pump efficiency INPUT Pump efficiency
power Pump power OUTPUT Pump power

Calculation Steps

  1. Enter the fluid density in kg/m³.
  2. Enter the flow rate in m³/s.
  3. Enter the total head in m.
  4. Enter the pump efficiency in fraction.
  5. Step 1: Compute pump power.
  6. Read the pump power (W) from the results.

Engineering Summary

What is the result of Pump power with efficiency computed from the given inputs using P = density * g * flow_rate * head / efficiency? The calculation uses deterministic formula evaluation. This tool is applicable in engineering calculation.

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Notes / Limitations

  • ASSUMPTIONSteady incompressible flow, efficiency as fraction 0–1
  • ASSUMPTIONg = 9.80665 m/s²
  • LIMITATIONValid only within the stated assumptions of Pump power with efficiency.

Frequently Asked Questions

What does this calculator calculate?

The Pump Power Calculator estimates Pump power based on the input parameters you provide

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Fluid density (kg/m³), Flow rate (m³/s), Total head (m), Pump efficiency (fraction). Make sure all inputs use the specified units for consistent results

How does Fluid density affect the results?

The fluid density directly affects: Pump power. Increasing or decreasing this value will change these output values according to the engineering formula

How should I interpret the calculated results?

The calculator provides the following outputs: pump power in W. Results are computed from the input values using the defined calculation method. Always verify results against project-specific requirements and applicable standards

What assumptions does this calculator use?

This calculator uses verified engineering formulas; the calculation method is based on deterministic formula evaluation, and references FormulaLibrary verified formula: family_pump_power. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

When is this calculation useful?

The Pump Power Calculator is useful during preliminary design, feasibility studies, and quick engineering checks in engineering calculation projects. It helps engineers and designers estimate key parameters before proceeding with detailed analysis

Technical Details
Assumption
Steady incompressible flow, efficiency as fraction 0–1
Assumption
g = 9.80665 m/s²
Limitation
Valid only within the stated assumptions of Pump power with efficiency.

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