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Variation of Acceleration due to Gravity on Depth Formula

GoVariation of Acceleration on Surface of Earth due to Gravity Effect Formula

GoVariation of Acceleration due to Gravity on Altitude Formula

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Variation of acceleration due to gravity is inversely proportional to the square of the radius of the earth, it varies with latitude due to the shape of the earth. Check FAQs

g v = [g] \cdot (1 - \frac{D}{[Earth-R]})

g_v - Variation of Acceleration due to Gravity?D - Depth?[g] - Gravitational acceleration on Earth?[Earth-R] - Earth mean radius?

Variation of Acceleration due to Gravity on Depth Example

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Here is how the Variation of Acceleration due to Gravity on Depth equation looks like with Values.

Here is how the Variation of Acceleration due to Gravity on Depth equation looks like with Units.

Here is how the Variation of Acceleration due to Gravity on Depth equation looks like.

9.8066 = 9.8066 \cdot (1 - \frac{3}{6371.0088})

9.8066m/s² = 9.8066m/s² \cdot (1 - \frac{3m}{6371.0088km})

9.8066 = 9.8066 \cdot (1 - \frac{3}{6371.0088})

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Variation of Acceleration due to Gravity on Depth Solution

Follow our step by step solution on how to calculate Variation of Acceleration due to Gravity on Depth?

FIRST Step Consider the formula

g v = [g] \cdot (1 - \frac{D}{[Earth-R]})

Next Step Substitute values of Variables

∴

g v = [g] \cdot (1 - \frac{3m}{[Earth-R]})

Next Step Substitute values of Constants

∴

g v = 9.8066m/s² \cdot (1 - \frac{3m}{6371.0088km})

Next Step Prepare to Evaluate

∴

g v = 9.8066 \cdot (1 - \frac{3}{6371.0088})

Next Step Evaluate

∴

g v = 9.80664538221482m/s²

LAST Step Rounding Answer

∴

g v = 9.8066m/s²

Variation of Acceleration due to Gravity on Depth Formula Elements

Variables

Constants

Variation of Acceleration due to Gravity

Variation of acceleration due to gravity is inversely proportional to the square of the radius of the earth, it varies with latitude due to the shape of the earth.

Symbol: g_v

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Variation of Acceleration due to Gravity

Depth

Depth is the distance from the top or surface to the bottom of something.

Symbol: D

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Earth mean radius

Earth mean radius represents the average distance from the Earth's center to any point on its surface, providing a single value to characterize the size of the Earth.

Symbol: [Earth-R]

Value: 6371.0088 km

Other Formulas to find Variation of Acceleration due to Gravity

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

g v = [g] \cdot (1 - \frac{[Earth-R] \cdot ω}{[g]})

Go Variation of Acceleration due to Gravity on Altitude

g v = [g] \cdot (1 - \frac{2 \cdot h sealevel}{[Earth-R]})

Other formulas in Fundamental Concepts in Gravitation category

Go Universal Law of Gravitation

F' = \frac{[G.] \cdot m 1 \cdot m 2}{{r c}^{2}}

Go Time Period of Satellite

T = (\frac{2 \cdot π}{[Earth-R]}) \cdot \sqrt{\frac{{([Earth-R] + h)}^{3}}{[g]}}

How to Evaluate Variation of Acceleration due to Gravity on Depth?

Variation of Acceleration due to Gravity on Depth evaluator uses Variation of Acceleration due to Gravity = [g]*(1-Depth/[Earth-R]) to evaluate the Variation of Acceleration due to Gravity, Variation of Acceleration due to Gravity on Depth formula is defined as a measure of the change in acceleration due to gravity at different depths from the Earth's surface, which is affected by the distance from the center of the Earth, providing a way to calculate the gravitational acceleration at various depths. Variation of Acceleration due to Gravity is denoted by g_v symbol.

How to evaluate Variation of Acceleration due to Gravity on Depth using this online evaluator? To use this online evaluator for Variation of Acceleration due to Gravity on Depth, enter Depth (D) and hit the calculate button.

FAQs on Variation of Acceleration due to Gravity on Depth

What is the formula to find Variation of Acceleration due to Gravity on Depth?

The formula of Variation of Acceleration due to Gravity on Depth is expressed as Variation of Acceleration due to Gravity = [g]*(1-Depth/[Earth-R]). Here is an example- 9.806645 = [g]*(1-3/[Earth-R]).

How to calculate Variation of Acceleration due to Gravity on Depth?

With Depth (D) we can find Variation of Acceleration due to Gravity on Depth using the formula - Variation of Acceleration due to Gravity = [g]*(1-Depth/[Earth-R]). This formula also uses Gravitational acceleration on Earth, Earth mean radius constant(s).

What are the other ways to Calculate Variation of Acceleration due to Gravity?

Here are the different ways to Calculate Variation of Acceleration due to Gravity-

Variation of Acceleration due to Gravity=[g]*(1-([Earth-R]*Angular Velocity)/[g])
Variation of Acceleration due to Gravity=[g]*(1-(2*Altitude)/[Earth-R])

Can the Variation of Acceleration due to Gravity on Depth be negative?

Yes, the Variation of Acceleration due to Gravity on Depth, measured in Acceleration can be negative.

Which unit is used to measure Variation of Acceleration due to Gravity on Depth?

Variation of Acceleration due to Gravity on Depth is usually measured using the Meter per Square Second[m/s²] for Acceleration. Kilometer per Square Second[m/s²], Micrometer per Square Second[m/s²], Mile per Square Second[m/s²] are the few other units in which Variation of Acceleration due to Gravity on Depth can be measured.

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