Variation of Acceleration on Surface of Earth due to Gravity Effect Calculator

Calculate Variation of Acceleration due to Gravity



Formula

The formula to calculate the Variation of Acceleration on Surface of Earth due to Gravity Effect is:

\[ gv = g \left(1 - \frac{R \cdot \omega}{g}\right) \]

Where:

Definition

The Variation of Acceleration due to Gravity is inversely proportional to the square of the radius of the Earth and varies with latitude due to the shape of the Earth.

Example Calculation

Let's assume the following value:

Using the formula:

\[ gv = g \left(1 - \frac{6371.0088 \cdot 3.6E-09}{9.80665}\right) \]

Evaluating:

\[ gv = 9.80665 \left(1 - \frac{6371.0088 \cdot 3.6E-09}{9.80665}\right) = 9.78371436832 \text{ m/s²} \]

The Variation of Acceleration due to Gravity at an angular velocity of 3.6E-09 rad/s is 9.78371436832 m/s².

Conversion Chart

Angular Velocity (rad/s) Variation of Acceleration due to Gravity (m/s²)
1.0E-9 9.806643628991
2.0E-9 9.806637257982
3.0E-9 9.806630886974
4.0E-9 9.806624515965
5.0E-9 9.806618144956
6.0E-9 9.806611773947
7.0E-9 9.806605402938
8.0E-9 9.806599031930
9.0E-9 9.806592660921