`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 Math / Science

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.  

Related Calculators

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

Reference

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