# Acceleration Due to Gravity Calculator

This acceleration due to gravity calculator helps you to determine the object's acceleration obtained by gravitational force.

**An acceleration attained by an object due to the gravitational force acting upon** it is known as **acceleration due to gravity**. It means if an object is dropped from a particular height towards the earth's surface, then the variation in velocity occurs and produces acceleration in the result, which is known as gravitational acceleration.

**Moreover,**

it's a vector quantity as it has both magnitude and direction. The SI unit to measure the acceleration due to gravity is m/s^{2} and it is represented by g. Whereas, The value of the universal gravitational constant is 6.674×10^{−11} Nm^{2}/kg^{2}.

**Table of Contents**

## Formula of Acceleration Due to Gravity Calculator

To instantly find out the gravitational potential energy absorbed by an object, you can jump to our calculator. Or to find it manually, you can use the formula listed below:

g = GM/r^{2}

**Where,**

G = universal gravitational constant (6.67×10^{-11} Nm^{2}/kg^{2})

M = the mass of the earth

r = the radius of the earth

By putting all the values above in the formula, the standard determined value of g on the earth's surface (sea level) is 9.8 m/s^{2}.

### Example

For a more precise understanding of the concept, let us solve an example below:

If a Moon has a mass of ` 7.35 x 10`

, and a radius of ^{22} kg ` 1.7 x 10`

, whereas the gravitational universal constant is ^{6} m ` 6.67 x 10`

, then find out the acceleration due to gravity at the Moon’s surface.^{-11} Nm^{2}/kg^{2}

**Given data**

r = radius of the moon = 1.7 x 10^{6}m

M = moon's mass = 7.35 x 10^{22}k

G = gravitational universal constant = 6.67 x 10^{-11}Nm^{2}/kg^{2}

**To Find**

Acceleration due to gravity = ?

**Solution**

To find out the acceleration due to gravity on moon, we will use the formula listed below:

g = GM/r^{2}

Putting values in the formula:

g = (6.67 x 10^{-11}* 7.35 x 10^{22}) / (1.7 x 10^{6})^{2}= 16.19 x 10^{-1}= 1.62 g

The acceleration due to gravity on moon = 1.62 g

**Note:**

If you want to calculate angular acceleration, you can use our Angular Acceleration Calculator.

### How to use the Acceleration Due to Gravity Calculator?

The steps to use the acceleration due to gravity calculator are as follows:

**Step 1: **Enter the value of an object's radius in the first required input.

**Step 2: **Enter the value of the mass of an object in the second required input.

**Step 3: **The calculator will automatically display an answer on the screen.

### Calculator use

You can use our acceleration due to gravity calculator in various principles, such as finding acceleration in any object falling towards earth. However, the acceleration may vary with the weight of an object.