Variation of Acceleration due to Gravity on Depth Calculator

Formula

The formula to calculate the Variation of Acceleration due to Gravity on Depth is:

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

Where:

\(gv\) is the variation of acceleration due to gravity (m/s²)
\(g\) is the gravitational acceleration on Earth (9.80665 m/s²)
\(D\) is the depth (m)
\(R\) is the Earth's mean radius (6371.0088 m)

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:

Depth (D) = 3 m

Using the formula:

\[ gv = g \left(1 - \frac{3}{6371.0088}\right) \]

Evaluating:

\[ gv = 9.80665 \left(1 - \frac{3}{6371.0088}\right) = 9.80664538221482 \text{ m/s²} \]

The Variation of Acceleration due to Gravity at a depth of 3 meters is 9.80664538221482 m/s².

Conversion Chart

Depth (m)	Variation of Acceleration due to Gravity (m/s²)
1	9.805110738274
2	9.803571476549
3	9.802032214823
4	9.800492953097
5	9.798953691371
6	9.797414429646
7	9.795875167920
8	9.794335906194
9	9.792796644469
10	9.791257382743