Manometer Pressure Reading Calculator

Enter the fluid density and column height to read the manometer pressure.

How it is calculated

The reading comes from the hydrostatic formula P = ρ × g × h. ρ is the fluid density in kg/m³, g is standard gravity, 9.80665 m/s², and h is the height difference of the liquid columns in centimetres. The engine divides h by 100 to get metres, so the pressure comes out in pascals. It then shows the same pressure in kilopascals (÷ 1000) and in millimetres of mercury (÷ 133.322). Density must be above zero. Height is not restricted: a negative height gives a negative pressure, which is a vacuum reading relative to the reference side. The tool gives the pressure difference across the manometer, not the absolute pressure, unless the reference leg is open to a vacuum.

Worked example

Mercury has a density of about 13,595.1 kg/m³, and a column of 76 cm is read. Convert the height to metres: 76 / 100 = 0.76 m. Then P = 13,595.1 × 9.80665 × 0.76 = 101,325.01 Pa. Divided by 1000 that is 101.33 kPa, and divided by 133.322 it is 760.00 mmHg. This is the standard atmosphere, which is the pressure that supports a 760 mm column of mercury in a barometer, so the result also serves as a check that the tool is set up correctly.

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Common mistakes

  • Entering the height in millimetres or metres. The field expects centimetres, so 0.5 m must be typed as 50; typing 0.5 gives a hundred times too small a pressure.
  • Using the density in g/cm³. Water is 1000 kg/m³, not 1; entering 1 gives a pressure a thousand times too low.
  • Entering the full length of the tube instead of the difference between the two liquid levels. The pressure depends only on the vertical height difference, not on the length of liquid in the tube.
  • Using the density of mercury at a different temperature or a different liquid without adjusting. 13,534 kg/m³ gives 756.59 mmHg for 76 cm, not 760, because the mmHg conversion is tied to 13,595.1 kg/m³.
  • Reading gauge pressure as absolute pressure. A manometer open to the atmosphere shows the difference from atmospheric pressure, so add the local atmospheric pressure to get the absolute value.

About this calculator

A liquid-column manometer measures pressure by the height a fluid rises or falls in a tube connected to the system being measured. The reading follows the hydrostatic pressure formula P = ρ × g × h, where ρ is the fluid's density, g is gravitational acceleration (9.81 m/s²), and h is the height difference between the two fluid columns — a taller column of a denser fluid like mercury (ρ ≈ 13,534 kg/m³) registers a much larger pressure than the same height of water for the same applied pressure, which is exactly why mercury is used for compact manometers.

This calculator converts a raw column-height reading into pressure in Pascals, kilopascals, and millimeters of mercury (mmHg), the traditional unit still used for blood pressure and barometric readings. HVAC technicians measuring duct static pressure, chemistry and physics lab instructors, and process engineers use manometers and this formula whenever a direct, calibration-free pressure reading is needed — no electronic sensor required.

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