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`v = sqrt((8piG rho )/3) R `

Enter a value for all fields

The **Escape Velocity Using Density **calculator computes the escape velocity from a body (v) based on the distance from the center of mass (R) and the density of the body (ρ).

**INSTRUCTIONS**: Choose units and enter the following:

- (
**R**) This is the distance to the center of mass - (
**ρ**) This is the density of the body

**Escape Velocity (v):** The calculator returns the velocity in meters per second. However this can be automatically converted to compatible units via the pull-down menu.

The formula for the Escape Velocity using Density is:

`v = sqrt( (8πGρ)/3)R`

where:

- v is the escape velocity based on density and distance
- R is the distance to the center of mass
- ρ is the density of the body
- G is the Universal Gravitational Constant is 6.67384E-11 m³/kg•sec².

- Force of Gravity
- Acceleration due to gravity
- Escape Velocity
- Escape Velocity using Distance and Density

University Physics 12th Edition, Chapter 12, Equation #12.29