Free · Physics models
Hydrostatic Manometer Paths
Track gauge and absolute pressure through the captured single-column and multi-fluid U-tube arrangements.
- Formula & worked example
- Private in your browser
- No signup
Calculator inputs
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How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
Private by default
Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.
Formula and method
For a one-centimeter rise in a 1,000-kg/m³ fluid using the captured 9.806-m/s² gravity, gauge pressure is −98.06 Pa.
In a static fluid, downward elevation change adds ρgΔh and upward change subtracts it; absolute pressure adds the reference atmosphere.
Worked example
Enter these known values and leave the other values blank.
- Height of liquid (h)
- 1 cm
- Density (ρ)
- 1000 kg/m³
- Gravitational acceleration (g)
- 9.806 m/s²
- Atmospheric pressure
- 101325 Pa
- Gauge pressure at point A
- -98.06 Pa
- Absolute pressure at point A
- 101227 Pa
Assumptions and limitations
- Fluids are static, incompressible and have uniform entered density in each segment. Sign selectors specify each interface elevation direction.
- Captured atmosphere, density and gravity defaults are rounded and differ by unit preference; use measured values for a specific setup. Gauge pressures may be negative.
- Capillary effects, acceleration, flowing pressure losses and gas-column weight are omitted.
- Clear the unknown numerical field before using a supported inverse; selection controls retain their captured branches.
Common questions
What assumptions matter for this model?
Fluids are static, incompressible and have uniform entered density in each segment. Sign selectors specify each interface elevation direction.
What does this model leave out?
Capillary effects, acceleration, flowing pressure losses and gas-column weight are omitted.
References
Model requirements: Single-column fluid density must be positive. Authored accessible explanations preserve each captured diagram mode and its geometric relationships.