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

GoAbsolute Angular Velocity of Earth given Geo Radius 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 = \frac{v}{R gso}

Ω_E - Angular Speed of the Earth?v - Speed of Satellite?R_gso - Geostationary Radius?

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

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

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

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

7.3E-5 = \frac{3.07}{42164.17}

7.3E-5rad/s = \frac{3.07km/s}{42164.17km}

7.3E-5 = \frac{3.07}{42164.17}

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

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

FIRST Step Consider the formula

Ω E = \frac{v}{R gso}

Next Step Substitute values of Variables

∴

Ω E = \frac{3.07km/s}{42164.17km}

Next Step Convert Units

∴

Ω E = \frac{3070m/s}{4.2E+7m}

Next Step Prepare to Evaluate

∴

Ω E = \frac{3070}{4.2E+7}

Next Step Evaluate

∴

Ω E = 7.2810635190969E-05rad/s

LAST Step Rounding Answer

∴

Ω E = 7.3E-5rad/s

Absolute Angular Velocity given Geo Radius of Earth and Geo Speed Formula Elements

Variables

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

Speed of Satellite

Speed of Satellite is the rate at which a satellite travels in its orbit around a celestial body, such as Earth.

Symbol: v

Measurement: SpeedUnit: km/s

Note: Value should be greater than 0.

Formulas to find Speed of Satellite

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

Other Formulas to find Angular Speed of the Earth

Go Absolute Angular Velocity of Earth given Geo Radius

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

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 given Geo Radius of Earth and Geo Speed?

Absolute Angular Velocity given Geo Radius of Earth and Geo Speed evaluator uses Angular Speed of the Earth = Speed of Satellite/Geostationary Radius to evaluate the Angular Speed of the Earth, Absolute Angular Velocity given Geo Radius of Earth and Geo Speed formula is defined as a measure of the rate of rotation of an object in circular orbit around the Earth, providing a fundamental parameter in understanding the dynamics of satellite motion and Earth's gravitational influence. Angular Speed of the Earth is denoted by Ω_E symbol.

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

FAQs on Absolute Angular Velocity given Geo Radius of Earth and Geo Speed

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

The formula of Absolute Angular Velocity given Geo Radius of Earth and Geo Speed is expressed as Angular Speed of the Earth = Speed of Satellite/Geostationary Radius. Here is an example- 0.000186 = 3070/42164170.

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

With Speed of Satellite (v) & Geostationary Radius (R_gso) we can find Absolute Angular Velocity given Geo Radius of Earth and Geo Speed using the formula - Angular Speed of the Earth = Speed of Satellite/Geostationary Radius.

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=sqrt([GM.Earth]/Geostationary Radius^3)

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

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

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

Absolute Angular Velocity given Geo Radius of Earth and Geo Speed 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 given Geo Radius of Earth and Geo Speed can be measured.

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