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Absolute Angular Velocity of Earth given Geo Radius Formula

GoAbsolute Angular Velocity given Geo Radius of Earth and Geo Speed Formula

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Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time. Check FAQs

Ω E = \sqrt{\frac{[GM.Earth]}{{R gso}^{3}}}

Ω_E - Angular Speed of the Earth?R_gso - Geostationary Radius?[GM.Earth] - Earth’s Geocentric Gravitational Constant?

Absolute Angular Velocity of Earth given Geo Radius Example

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Here is how the Absolute Angular Velocity of Earth given Geo Radius equation looks like with Values.

Here is how the Absolute Angular Velocity of Earth given Geo Radius equation looks like with Units.

Here is how the Absolute Angular Velocity of Earth given Geo Radius equation looks like.

7.3E-5 = \sqrt{\frac{4E+14}{{42164.17}^{3}}}

7.3E-5rad/s = \sqrt{\frac{4E+14m³/s²}{{42164.17km}^{3}}}

7.3E-5 = \sqrt{\frac{4E+14}{{42164.17}^{3}}}

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Absolute Angular Velocity of Earth given Geo Radius Solution

Follow our step by step solution on how to calculate Absolute Angular Velocity of Earth given Geo Radius?

FIRST Step Consider the formula

Ω E = \sqrt{\frac{[GM.Earth]}{{R gso}^{3}}}

Next Step Substitute values of Variables

∴

Ω E = \sqrt{\frac{[GM.Earth]}{{42164.17km}^{3}}}

Next Step Substitute values of Constants

∴

Ω E = \sqrt{\frac{4E+14m³/s²}{{42164.17km}^{3}}}

Next Step Convert Units

∴

Ω E = \sqrt{\frac{4E+14m³/s²}{{4.2E+7m}^{3}}}

Next Step Prepare to Evaluate

∴

Ω E = \sqrt{\frac{4E+14}{{4.2E+7}^{3}}}

Next Step Evaluate

∴

Ω E = 7.29211576039691E-05rad/s

LAST Step Rounding Answer

∴

Ω E = 7.3E-5rad/s

Absolute Angular Velocity of Earth given Geo Radius Formula Elements

Variables

Constants

Functions

Angular Speed of the Earth

Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.

Symbol: Ω_E

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Speed of the Earth

Geostationary Radius

Geostationary Radius refers to the distance between the Earth's surface and a geostationary satellite in orbit around the Earth.

Symbol: R_gso

Measurement: LengthUnit: km

Note: Value should be greater than 6371.

Formulas to find Geostationary Radius

Earth’s Geocentric Gravitational Constant

Earth’s Geocentric Gravitational Constant the gravitational parameter for the Earth as the central body.

Symbol: [GM.Earth]

Value: 3.986004418E+14 m³/s²

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Angular Speed of the Earth

Go Absolute Angular Velocity given Geo Radius of Earth and Geo Speed

Ω E = \frac{v}{R gso}

Other formulas in Geostationary Earth Satellite category

Go Speed of Satellite in its Circular GEO of Radius

v = \sqrt{\frac{[GM.Earth]}{R gso}}

Go Geo Radius given Speed of Satellite in its Circular Geo Orbit

R gso = \frac{[GM.Earth]}{v^{2}}

Go Geo Speed along its Circular Path given Absolute Angular Velocity of Earth

v = Ω E \cdot R gso

Go Geo Radius given Absolute Angular Velocity of Earth and Geo Speed

R gso = \frac{v}{Ω E}

How to Evaluate Absolute Angular Velocity of Earth given Geo Radius?

Absolute Angular Velocity of Earth given Geo Radius evaluator uses Angular Speed of the Earth = sqrt([GM.Earth]/Geostationary Radius^3) to evaluate the Angular Speed of the Earth, Absolute Angular Velocity of Earth given Geo Radius formula is defined as a measure of the rate of rotation of the Earth, which is essential in understanding the dynamics of circular orbits and the motion of objects around our planet, providing valuable insights into the Earth's gravitational influence. Angular Speed of the Earth is denoted by Ω_E symbol.

How to evaluate Absolute Angular Velocity of Earth given Geo Radius using this online evaluator? To use this online evaluator for Absolute Angular Velocity of Earth given Geo Radius, enter Geostationary Radius (R_gso) and hit the calculate button.

FAQs on Absolute Angular Velocity of Earth given Geo Radius

What is the formula to find Absolute Angular Velocity of Earth given Geo Radius?

The formula of Absolute Angular Velocity of Earth given Geo Radius is expressed as Angular Speed of the Earth = sqrt([GM.Earth]/Geostationary Radius^3). Here is an example- 0.001138 = sqrt([GM.Earth]/42164170^3).

How to calculate Absolute Angular Velocity of Earth given Geo Radius?

With Geostationary Radius (R_gso) we can find Absolute Angular Velocity of Earth given Geo Radius using the formula - Angular Speed of the Earth = sqrt([GM.Earth]/Geostationary Radius^3). This formula also uses Earth’s Geocentric Gravitational Constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Angular Speed of the Earth?

Here are the different ways to Calculate Angular Speed of the Earth-

Angular Speed of the Earth=Speed of Satellite/Geostationary Radius

Can the Absolute Angular Velocity of Earth given Geo Radius be negative?

No, the Absolute Angular Velocity of Earth given Geo Radius, measured in Angular Velocity cannot be negative.

Which unit is used to measure Absolute Angular Velocity of Earth given Geo Radius?

Absolute Angular Velocity of Earth given Geo Radius is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Absolute Angular Velocity of Earth given Geo Radius can be measured.

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