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Archimedes Buoyancy: Local gravitational acceleration Calculator

Archimedes Buoyancy: Calculate local gravitational acceleration from Force magnitude, Density, Volume. Check the formula, input units and worked result on this page.

Enter your values

N
Formula symbol: F. Required unit: N. Must be greater than zero.
kg/m³
Formula symbol: ρ. Required unit: kg/m³. Must be greater than zero.
m³
Formula symbol: V. Required unit: m³. Must be greater than zero.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. Volume is displaced fluid volume. Buoyancy is not the object’s total net force.
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 archimedes buoyancy with the units stated beside the fields. This form solves for local gravitational acceleration; enter the known quantities in Force magnitude, Density, Volume.

Inputs and units
Archimedes Buoyancy: Local gravitational acceleration Calculator · Inputs and units
InputExample valueWhat to enter
Force magnitude45 NFormula symbol: F. Required unit: N. Must be greater than zero.
Density750 kg/m³Formula symbol: ρ. Required unit: kg/m³. Must be greater than zero.
Volume0.0045000000000000005 m³Formula symbol: V. Required unit: m³. Must be greater than zero.
g = (F / (1 × ρ × V))

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.

Force magnitude
45 N
Density
750 kg/m³
Volume
0.0045000000000000005 m³

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. Volume is displaced fluid volume. Buoyancy is not the object’s total net force.

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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