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

GoVariation of Acceleration due to Gravity on Altitude Formula

GoVariation of Acceleration due to Gravity on Depth 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{[Earth-R] \cdot ω}{[g]})

g_v - Variation of Acceleration due to Gravity?ω - Angular Velocity?[g] - Gravitational acceleration on Earth?[Earth-R] - Earth mean radius?[g] - Gravitational acceleration on Earth?

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

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

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

Here is how the Variation of Acceleration on Surface of Earth due to Gravity Effect equation looks like.

9.7837 = 9.8066 \cdot (1 - \frac{6371.0088 \cdot 3.6E-9}{9.8066})

9.7837m/s² = 9.8066m/s² \cdot (1 - \frac{6371.0088km \cdot 3.6E-9rad/s}{9.8066m/s²})

9.7837 = 9.8066 \cdot (1 - \frac{6371.0088 \cdot 3.6E-9}{9.8066})

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

Follow our step by step solution on how to calculate Variation of Acceleration on Surface of Earth due to Gravity Effect?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

g v = [g] \cdot (1 - \frac{[Earth-R] \cdot 3.6E-9rad/s}{[g]})

Next Step Substitute values of Constants

∴

g v = 9.8066m/s² \cdot (1 - \frac{6371.0088km \cdot 3.6E-9rad/s}{9.8066m/s²})

Next Step Prepare to Evaluate

∴

g v = 9.8066 \cdot (1 - \frac{6371.0088 \cdot 3.6E-9}{9.8066})

Next Step Evaluate

∴

g v = 9.78371436832m/s²

LAST Step Rounding Answer

∴

g v = 9.7837m/s²

Variation of Acceleration on Surface of Earth due to Gravity Effect 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

Angular Velocity

The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

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

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

Other Formulas to find Variation of Acceleration due to Gravity

Go Variation of Acceleration due to Gravity on Altitude

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

Go Variation of Acceleration due to Gravity on Depth

g v = [g] \cdot (1 - \frac{D}{[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 on Surface of Earth due to Gravity Effect?

Variation of Acceleration on Surface of Earth due to Gravity Effect evaluator uses Variation of Acceleration due to Gravity = [g]*(1-([Earth-R]*Angular Velocity)/[g]) to evaluate the Variation of Acceleration due to Gravity, Variation of Acceleration on Surface of Earth due to Gravity Effect formula is defined as a measure of the change in acceleration on the surface of the Earth due to the gravitational force, taking into account the Earth's radius and angular velocity, which affects the acceleration experienced at different latitudes and altitudes. Variation of Acceleration due to Gravity is denoted by g_v symbol.

How to evaluate Variation of Acceleration on Surface of Earth due to Gravity Effect using this online evaluator? To use this online evaluator for Variation of Acceleration on Surface of Earth due to Gravity Effect, enter Angular Velocity (ω) and hit the calculate button.

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

What is the formula to find Variation of Acceleration on Surface of Earth due to Gravity Effect?

The formula of Variation of Acceleration on Surface of Earth due to Gravity Effect is expressed as Variation of Acceleration due to Gravity = [g]*(1-([Earth-R]*Angular Velocity)/[g]). Here is an example- 9.793908 = [g]*(1-([Earth-R]*3.6E-09)/[g]).

How to calculate Variation of Acceleration on Surface of Earth due to Gravity Effect?

With Angular Velocity (ω) we can find Variation of Acceleration on Surface of Earth due to Gravity Effect using the formula - Variation of Acceleration due to Gravity = [g]*(1-([Earth-R]*Angular Velocity)/[g]). This formula also uses Gravitational acceleration on Earth, Earth mean radius, Gravitational acceleration on Earth 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-(2*Altitude)/[Earth-R])
Variation of Acceleration due to Gravity=[g]*(1-Depth/[Earth-R])

Can the Variation of Acceleration on Surface of Earth due to Gravity Effect be negative?

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

Which unit is used to measure Variation of Acceleration on Surface of Earth due to Gravity Effect?

Variation of Acceleration on Surface of Earth due to Gravity Effect 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 on Surface of Earth due to Gravity Effect can be measured.

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