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Local Gravitational Energy: Local gravitational acceleration Calculator

Local Gravitational Energy: Calculate local gravitational acceleration from Energy, Mass, Height difference. Check the formula, input units and worked result on this page.

Enter your values

J
Formula symbol: E. Required unit: J. Must be greater than zero.
kg
Formula symbol: m. Required unit: kg. 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. Positive height is above the chosen reference. Local gravity is constant; changes over large heights are excluded.
Example result
Local gravitational acceleration
13.33333333 m/s²

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

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How it works

Use local gravitational energy with the units stated beside the fields. This form solves for local gravitational acceleration; enter the known quantities in Energy, Mass, Height difference.

Inputs and units
Local Gravitational Energy: Local gravitational acceleration Calculator · Inputs and units
InputExample valueWhat to enter
Energy90 JFormula symbol: E. Required unit: J. Must be greater than zero.
Mass3 kgFormula symbol: m. Required unit: kg. Must be greater than zero.
Height difference2.25 mFormula symbol: h. Required unit: m. Must be greater than zero.
g = (E / (1 × m × 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.

Energy
90 J
Mass
3 kg
Height difference
2.25 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. Positive height is above the chosen reference. Local gravity is constant; changes over large heights are excluded.

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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