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Hydrostatic Pressure Increase: Local gravitational acceleration Calculator

Hydrostatic Pressure Increase: Calculate local gravitational acceleration from Pressure magnitude, Density, Height difference. Check the formula, input units and worked result on this page.

Enter your values

Pa
Formula symbol: p. Required unit: Pa. Must be greater than zero.
kg/m³
Formula symbol: ρ. Required unit: kg/m³. Must be greater than zero.
m
Formula symbol: h. Required unit: m. Must be greater than zero.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. Fluid is static with constant density and gravity. Pressure input is the increase below the surface, not atmospheric pressure.
Example result
Local gravitational acceleration
13.33333333 m/s²

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Use hydrostatic pressure increase with the units stated beside the fields. This form solves for local gravitational acceleration; enter the known quantities in Pressure magnitude, Density, Height difference.

Inputs and units
Hydrostatic Pressure Increase: Local gravitational acceleration Calculator · Inputs and units
InputExample valueWhat to enter
Pressure magnitude15,000 PaFormula symbol: p. Required unit: Pa. Must be greater than zero.
Density750 kg/m³Formula symbol: ρ. Required unit: kg/m³. Must be greater than zero.
Height difference1.5 mFormula symbol: h. Required unit: m. Must be greater than zero.
g = (p / (1 × ρ × h))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Pressure magnitude
15,000 Pa
Density
750 kg/m³
Height difference
1.5 m

Complete example results

Local gravitational acceleration
13.33333333 m/s²

Reading the result

The result solves for local gravitational acceleration from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the local gravitational acceleration result?

This model uses positive magnitudes. Fluid is static with constant density and gravity. Pressure input is the increase below the surface, not atmospheric pressure.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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