Gravitational Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Gravitational Acceleration

Gravitational acceleration ( \(g\) ) is the force on an object caused only by gravity.

Gravitational Acceleration formula

\(g = \frac {G m} {r^2} \)          \(gravitational \; acceleration \;=\; \frac { universal \; gravitational \; constant  \;\;x \;\; planet \; mass } { radius \; squared }   \)

Where:

\(g\) = gravitational acceleration

\(G\) = universal gravitational constant

\(m\) = planet mass

\(r\) = radius from the planet center

Solve for:

\(m = \frac {g r^2} {G} \)

\(r = \sqrt {   \frac {G m} {g} }\)

 

Tags: Equations for Acceleration Equations for Gravity