# Gravitational Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Gravitational acceleration, abbreviated as g, also known as acceleration of gravity or acceleration due to gravity, is the force on an object caused only by gravity.

On Earth, the gravitational acceleration is a constant:

g = 9.80665 meters/ second(Metric)

g = 32.1740 feet/ second2 (English)

For other bodies, the acceleration due to gravity, can be calculated below.

Gravitational Acceleration formula

$$\large{ g = \frac {G \; m} {r^2} }$$

Where:

$$\large{ g }$$ = gravitational acceleration

$$\large{ m }$$ = planet mass

$$\large{ r }$$ = radius from the planet center

$$\large{ G }$$ =universal gravitational constant

Solve for:

$$\large{ m = \frac {g \; r^2} {G} }$$

$$\large{ r = \sqrt { \frac {G \; m} {g} } }$$