Manometer Calculator

Calculate pressure from manometer height difference for U-tube, differential, inclined, and well-type manometers with multiple manometer fluids.

m
m/s²
Pressure Difference
19.9329 kPa
19,932.94 Pa
Pressure (psi)
2.8910
1 psi = 6 894.76 Pa
Pressure (mmHg)
149.51
1 mmHg = 133.322 Pa
Pressure (inH₂O)
80.023
1 inH₂O = 249.089 Pa
Pressure (bar)
0.199329
1 bar = 100 000 Pa
Pressure (atm)
0.196723
1 atm = 101 325 Pa

Pressure vs Height

10
20
50
100
150
200
300
500
750
1000
Height (mm)
Δh (mm)ΔP (kPa)
101.3289
202.6577
506.6443
10013.2886
15019.9329
20026.5773
30039.8659
50066.4431
75099.6647
1,000132.8863
Planning notes, formulas, and examples

About the Manometer Calculator

A manometer is one of the oldest and most reliable pressure-measuring devices. It uses the height difference of a liquid column to determine pressure: ΔP = ρgΔh. Despite the advent of electronic transducers, manometers remain in use for calibration, laboratory work, and HVAC system balancing because of their inherent accuracy and simplicity.

This calculator supports four manometer configurations: simple U-tube (one side open to atmosphere), differential U-tube (connected between two pressure taps), inclined-tube (for increased sensitivity at low pressures), and well-type (reservoir). You select a manometer fluid — mercury, water, oil, alcohol, or custom — enter the height difference, and get the pressure in six unit systems.

The inclined-tube mode is particularly useful for HVAC and clean-room applications where pressure differences are small (< 250 Pa). By tilting the tube, the liquid travels further along the tube for the same vertical height, amplifying the reading by a factor of 1/sin(θ).

When This Page Helps

Use this calculator when you need to turn a column-height reading into engineering pressure units without manually switching between fluid densities and manometer types.

It is useful for lab measurements, HVAC balancing, calibration work, and quick checks of low differential pressures where manometers are still more transparent than electronic sensors.

How to Use the Inputs

  1. Select the manometer type: U-tube, differential, inclined, or well-type.
  2. Choose the manometer fluid (mercury, water, oil, etc.) or enter a custom density.
  3. For differential manometers, also enter the pipe fluid density.
  4. Enter the measured height difference in meters.
  5. For inclined-tube manometers, enter the tube angle from horizontal.
  6. Read the pressure difference in kPa, psi, mmHg, inH₂O, bar, and atm.
Formula used
Simple U-tube: ΔP = ρ_m × g × Δh Differential: ΔP = (ρ_m − ρ_f) × g × Δh Inclined: ΔP = ρ_m × g × L × sin(θ) Where: • ρ_m = manometer fluid density (kg/m³) • ρ_f = pipe fluid density (kg/m³) • g = 9.81 m/s², Δh = height difference (m) • L = tube reading (m), θ = inclination angle

Example Calculation

Result: ΔP ≈ 19.93 kPa (149.6 mmHg)

ΔP = 13 546 × 9.81 × 0.15 = 19 934 Pa ≈ 19.93 kPa. This is equivalent to about 150 mmHg or 2.89 psi.

Tips & Best Practices

  • Mercury is toxic — modern labs often use silicone or fluorocarbon oils of known density.
  • When reading an inclined manometer, read along the tube axis, not vertically.
  • Temperature affects manometer fluid density. For precision work, apply a temperature correction.
  • For differential manometers, make sure to subtract the pipe fluid density contribution.
  • A manometer cannot measure negative gauge pressures below −1 atm (perfect vacuum) because the fluid column would break.

Practical Guidance

Manometers work well because the measurement is directly tied to hydrostatics. That makes them valuable for calibration and low-pressure work where you want a traceable, visually obvious reading rather than a black-box sensor output. They are especially useful when a small differential pressure still has to be trusted without relying on an electronic sensor calibration chain.

Common Pitfalls

Most errors come from using the wrong fluid density, confusing vertical height with along-tube length in an inclined setup, or forgetting whether the reading is gauge, differential, or absolute pressure. For precision work, temperature correction and clean meniscus reading technique matter more than the arithmetic.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • Mercury's high density (13 546 kg/m³) means a moderate pressure creates a manageable column height. For 1 atm, only 760 mm of mercury is needed vs 10.3 m of water.