Practical tools for measured work
Gravity and escape velocity calculator
Calculate inverse-square gravity, attraction force and escape speed from mass and centre distance.
Calculate the layout, check the diagram, then print the result for the shop or jobsite.
How it works
For a point mass or outside a spherically symmetric body, g = GM/r², force = mg and escape speed = √(2GM/r). G = 6.67430 × 10⁻¹¹ m³/(kg·s²). The editable Earth-like defaults give about 11.19 km/s escape speed.
Current-input example
The result above uses these exact values. This snapshot is included when the page is printed so the output can be checked against the original measurements.
- Attracting body mass
- 5.9722e+24 kg
- Test body mass
- 1 kg
- Centre-to-centre distance
- 6371008.8 m
Primary result: Gravitational acceleration: 9.820275165 m/s².
Before using the result
- Check the selected mode, units and input values before using the result.
- Read the assumptions and rounding rules; compare the worked example with your intended calculation.
- A numerical result does not supply missing context or change the stated limitations.
Limitations
Use distance from the body’s centre, not height above its surface. The point-mass model does not describe locations inside an extended body. Rotation, atmosphere, relativistic effects and other gravitating bodies are excluded.
Frequently asked questions
Which physical model does this result assume?
Use only the configuration named in the selected mode. Enter consistent SI units and check the stated direction, axis and equilibrium assumptions. These educational ideal models do not certify equipment, structures or lifting arrangements.
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