Gravitational Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Gravitational Acceleration

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

Gravitational Acceleration formula

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

Where:

\(\large{ g }\) = gravitational acceleration

\(\large{ G }\) = universal gravitational constant

\(\large{ m }\) = planet mass

\(\large{ r }\) = radius from the planet center

Solve for:

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

\(\large{ r = \sqrt {   \frac {G m} {g} }  }\)

 

Tags: Equations for Acceleration Equations for Gravity