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:
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.
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.
| 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 |