Head to Pressure Converter

Convert fluid head (height) to pressure using the hydrostatic pressure formula

Input Parameters

Default value is 1000 kg/m³ (water at 4°C)

Default value is 9.81 m/s² (standard gravity)

Calculation Results

Calculation Formula

Pressure (P) = ρ × g × h

Where:
P = Pressure (Pa)
ρ = Fluid density (kg/m³)
g = Acceleration due to gravity (m/s²)
h = Fluid head (meters)

Head to Pressure Converter Calculator Usage Guide

Learn how to use the Head to Pressure Converter calculator and its working principles

How to Use This Calculator

  1. Enter the fluid head in meters (h). This is the vertical distance from the fluid surface to the point where pressure is being measured.
  2. Specify the fluid density (ρ) in kg/m³. The default value is 1000 kg/m³ for water at 4°C. Use different values for other fluids.
  3. Enter the acceleration due to gravity (g) in m/s². The default value is 9.81 m/s² (standard gravity).
  4. Click the "Calculate" button to compute the pressure.
  5. The results will be displayed in Pascal (Pa), Kilopascal (kPa), and Bar.

Principle of Calculation

The calculator uses the hydrostatic pressure formula: P = ρ × g × h, where:

  • P = Pressure
  • ρ = Fluid density
  • g = Acceleration due to gravity
  • h = Fluid head

This formula shows that pressure increases linearly with depth (head) in a fluid column. For example, water exerts approximately 9.81 kPa of pressure for every meter of depth.

Applications

This calculator is useful in various engineering fields including:

  • Hydraulic systems design
  • Water treatment facilities
  • Pipeline systems
  • Open-channel flow analysis
  • Pressure vessel design

Example

If you want to calculate the pressure at the bottom of a 10-meter deep water tank:

  1. Enter 10 for head
  2. Use the default value for fluid density (1000 kg/m³)
  3. Use the default value for gravity (9.81 m/s²)
  4. Calculate to get approximately 98.1 kPa of pressure