# Gravitational Acceleration Calculator

Calculate the gravitational acceleration from mass and force, with different units. The gravitational acceleration tells, how much a falling body in a vacuum accelerates, which is independant of its mass. This is equivalent with the weight a certain mass has in a gravitation field. The average gravitational acceleration on Earth is 1 g, this is 9.80665 meters per square second or newtons per kilogram. At the poles, this value is with 9.832 m/s² slightly higher, at the equator, it is with 9.780 m/s² slightly lower.

Example: a mass of 12 kilograms on Earth weights about 117.68 newtons.

The gravitational acceleration results from the gravitational field in which you are located. In our case, this is almost always that of the Earth, but of course all other celestial bodies, actually all objects with mass, also have a gravitational field. The strength of the gravitational field is determined by the gravitational force of the mass and by the distance from the center of gravity of the corresponding object. So density also plays a role, because with less dense objects the mass is distributed over a larger space, then the distance to the center of gravity is greater when you are on the surface. The gas planet Jupiter, for example, has only between a fifth and a quarter of the density of the rocky planet Earth. The gravitational acceleration is

If you move further away from the center of the Earth, the gravitational acceleration decreases. The gravitational acceleration from mass and distance (usually called radius in this context) can be calculated using the gravitational constant. For example, if you were standing on a 100-kilometer-high tower (which is unfortunately statically impossible to build), the gravitational acceleration would only be about