Physics

Manometer Calculator

Find pressure difference from a manometer fluid height.

Manometer fluid density (kg/m³)

Height difference

Gravity (m/s²)

Calculated Output

Pressure difference (Pa) 13,341.6

Pressure difference (kPa) 13.342

Formula: ΔP = ρ·g·Δh

Step-by-Step Breakdown

1. Values used:

2. Manometer fluid density = 13,600 kg/m³

3. Height difference = 0.1

4. Gravity = 9.81 m/s²

6. Pressure difference = Manometer fluid density x Height difference x Gravity = 13,600 x 0.1 x 9.81 = 13,341.6Pa

7. Pressure difference = 13.342kPa

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The math behind it

ΔP = ρ·g·Δh. Mercury (ρ ≈ 13600 kg/m³) gives compact columns for large pressures.

10 cm of mercury → about 13.3 kPa.

Why use mercury?

Its high density keeps the column short for large pressures.