The Acceleration of Gravity Calculator helps determine the gravitational acceleration at a given distance from a mass. This is important for applications in physics, engineering, and astronomy. By inputting the mass of the object and the distance from its center, users can quickly find the acceleration due to gravity.
Formula of Acceleration of Gravity Calculator
The acceleration of gravity, denoted as g, can be calculated using the following formula:
where:
- G is the gravitational constant, approximately 6.67430 x 10^-11 m^3 kg^-1 s^-2
- M is the mass of the object creating the gravitational field (e.g., the Earth)
- r is the distance from the center of the mass to the point where the acceleration is being calculated
Common Terms and Conversions
Here is a table of common terms and their values for quick reference:
| Term | Value |
|---|---|
| Gravitational Constant (G) | 6.67430 x 10^-11 m^3 kg^-1 s^-2 |
| Mass of Earth (M) | 5.972 x 10^24 kg |
| Radius of Earth (r) | 6.371 x 10^6 m |
Example of Acceleration of Gravity Calculator
Let’s calculate the gravitational acceleration on the surface of the Earth.
Given:
- Mass of Earth (M) = 5.972 x 10^24 kg
- Radius of Earth (r) = 6.371 x 10^6 m
Using the formula g = GM / r^2:
g = (6.67430 x 10^-11 m^3 kg^-1 s^-2 * 5.972 x 10^24 kg) / (6.371 x 10^6 m)^2
g ≈ 9.81 m/s^2
Most Common FAQs
Gravitational acceleration decreases with the square of the distance from the mass. As you move farther away from the mass, the gravitational pull weakens.
The gravitational constant (G) is a fundamental constant of nature, approximately equal to 6.67430 x 10^-11 m^3 kg^-1 s^-2. It is used in the calculation of gravitational forces.
Yes, the calculator can be use for any celestial body by inputting the appropriate mass and distance values.