Variation of Acceleration due to Gravity on Depth Calculator

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Variation of Acceleration due to Gravity

✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Depth is the distance from the top or surface to the bottom of something.ⓘ Depth [D]			+10% -10%

✖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.ⓘ Variation of Acceleration due to Gravity on Depth [g_v]

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Variation of Acceleration due to Gravity on Depth

Formula

`"g"_{"v"} = "g"*(1-"D"/"[Earth-R]")`

Example

`"9.799995m/s²"="9.8m/s²"*(1-"3m"/"[Earth-R]")`

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Variation of Acceleration due to Gravity on Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-Depth/[Earth-R])
g_v = g*(1-D/[Earth-R])
This formula uses 1 Constants, 3 Variables

Constants Used

[Earth-R] - Earth mean radius Value Taken As 6371.0088

Variables Used

Variation of Acceleration due to Gravity - (Measured in Meter per Square Second) - 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.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Depth - (Measured in Meter) - Depth is the distance from the top or surface to the bottom of something.

STEP 1: Convert Input(s) to Base Unit

Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Depth: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

g_v = g*(1-D/[Earth-R]) --> 9.8*(1-3/[Earth-R])

Evaluating ... ...

g_v = 9.79999538534619

STEP 3: Convert Result to Output's Unit

9.79999538534619 Meter per Square Second --> No Conversion Required

FINAL ANSWER

9.79999538534619 ≈ 9.799995 Meter per Square Second <-- Variation of Acceleration due to Gravity

(Calculation completed in 00.004 seconds)

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< 3 Variation of Acceleration due to Gravity Calculators

Variation of Acceleration on Surface of Earth due to Gravity Effect

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

Variation of Acceleration due to Gravity on Altitude

Go Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-(2*Altitude for Acceleration)/[Earth-R])

Variation of Acceleration due to Gravity on Depth

Go Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-Depth/[Earth-R])

Variation of Acceleration due to Gravity on Depth Formula

Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-Depth/[Earth-R])
g_v = g*(1-D/[Earth-R])

How is variation of acceleration due to gravity on depth calculated?

Consider a test mass (m) taken to a distance (d) below the earth’s surface, the acceleration due to gravity at that point (g_d) is obtained by taking the value of g in terms of density.

On the surface of the earth, the value of g is given by;

g = 4/3 × πρRG

At a distance (d) below the earth’s surface, the acceleration due to gravity is given by;

g_d = 4/3 × πρ × (R – d) G
On dividing the above equations we get,

g_d = g (R – d)/R

What is variation of acceleration due to gravity effect on surface of the earth ?

At the center of the earth, d = R_e , so, g_center = g( 1- R_e / R_e) = 0 . Thus weght of body at the center of the earth is zero.

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

Variation of Acceleration due to Gravity on Depth calculator uses Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-Depth/[Earth-R]) to calculate the Variation of Acceleration due to Gravity, Variation of acceleration due to gravity on depth as the distance below the surface of earth increases the value of acceleration due to gravity(g) falls. Variation of Acceleration due to Gravity is denoted by g_v symbol.

How to calculate Variation of Acceleration due to Gravity on Depth using this online calculator? To use this online calculator for Variation of Acceleration due to Gravity on Depth, enter Acceleration due to Gravity (g) & Depth (D) and hit the calculate button. Here is how the Variation of Acceleration due to Gravity on Depth calculation can be explained with given input values -> 9.799995 = 9.8*(1-3/[Earth-R]).

FAQ

What is Variation of Acceleration due to Gravity on Depth?

Variation of acceleration due to gravity on depth as the distance below the surface of earth increases the value of acceleration due to gravity(g) falls and is represented as g_v = g*(1-D/[Earth-R]) or Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-Depth/[Earth-R]). Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Depth is the distance from the top or surface to the bottom of something.

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

Variation of acceleration due to gravity on depth as the distance below the surface of earth increases the value of acceleration due to gravity(g) falls is calculated using Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-Depth/[Earth-R]). To calculate Variation of Acceleration due to Gravity on Depth, you need Acceleration due to Gravity (g) & Depth (D). With our tool, you need to enter the respective value for Acceleration due to Gravity & Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Variation of Acceleration due to Gravity?

In this formula, Variation of Acceleration due to Gravity uses Acceleration due to Gravity & Depth. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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