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Radius of sun given total solar irradiance Formula

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Radius of the sun is the radius of the sun/star. Check FAQs

r = {(\frac{(L^{2}) \cdot G s}{[Stefan-BoltZ] \cdot ({T s}^{4})})}^{0.5}

r - Radius of the Sun?L - Mean Distance between Sun and Planet?G_s - Total Solar Irradiance?T_s - Effective Surface Temperature?[Stefan-BoltZ] - Stefan-Boltzmann Constant?

Radius of sun given total solar irradiance Example

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Here is how the Radius of sun given total solar irradiance equation looks like with Values.

Here is how the Radius of sun given total solar irradiance equation looks like with Units.

Here is how the Radius of sun given total solar irradiance equation looks like.

7E+8 = {(\frac{({1.5E+11}^{2}) \cdot 1373}{5.7E-8 \cdot (5780^{4})})}^{0.5}

7E+8m = {(\frac{({1.5E+11m}^{2}) \cdot 1373W/m²}{5.7E-8 \cdot ({5780K}^{4})})}^{0.5}

7E+8 = {(\frac{({1.5E+11}^{2}) \cdot 1373}{5.7E-8 \cdot (5780^{4})})}^{0.5}

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Radius of sun given total solar irradiance Solution

Follow our step by step solution on how to calculate Radius of sun given total solar irradiance?

FIRST Step Consider the formula

r = {(\frac{(L^{2}) \cdot G s}{[Stefan-BoltZ] \cdot ({T s}^{4})})}^{0.5}

Next Step Substitute values of Variables

∴

r = {(\frac{({1.5E+11m}^{2}) \cdot 1373W/m²}{[Stefan-BoltZ] \cdot ({5780K}^{4})})}^{0.5}

Next Step Substitute values of Constants

∴

r = {(\frac{({1.5E+11m}^{2}) \cdot 1373W/m²}{5.7E-8 \cdot ({5780K}^{4})})}^{0.5}

Next Step Prepare to Evaluate

∴

r = {(\frac{({1.5E+11}^{2}) \cdot 1373}{5.7E-8 \cdot (5780^{4})})}^{0.5}

Next Step Evaluate

∴

r = 698659013.999277m

LAST Step Rounding Answer

∴

r = 7E+8m

Radius of sun given total solar irradiance Formula Elements

Variables

Constants

Radius of the Sun

Radius of the sun is the radius of the sun/star.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of the Sun

Mean Distance between Sun and Planet

Mean distance between sun and planet is the mean distance between sun/star and earth/planet.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Distance between Sun and Planet

Total Solar Irradiance

Total solar irradiance or solar constant is the solar energy reaching the earth’s/planet's atmosphere.

Symbol: G_s

Measurement: Heat Flux DensityUnit: W/m²

Note: Value should be greater than 0.

Formulas to find Total Solar Irradiance

Effective Surface Temperature

Effective surface temperature is the surface temperature of the sun/star.

Symbol: T_s

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Effective Surface Temperature

Stefan-Boltzmann Constant

Stefan-Boltzmann Constant relates the total energy radiated by a perfect black body to its temperature and is fundamental in understanding blackbody radiation and astrophysics.

Symbol: [Stefan-BoltZ]

Value: 5.670367E-8

Other formulas in Atmospheric and Solar Radiation category

Go Total solar irradiance or solar constant

G s = \frac{(r^{2}) \cdot [Stefan-BoltZ] \cdot ({T s}^{4})}{L^{2}}

Go Effective surface temperature of sun given solar constant

T s = {(\frac{(L^{2}) \cdot G s}{(r^{2}) \cdot [Stefan-BoltZ]})}^{0.25}

Go Mean distance between sun or star and earth or planet

L = {(\frac{(r^{2}) \cdot [Stefan-BoltZ] \cdot ({T s}^{4})}{G s})}^{0.5}

Go Total solar energy incident on unit area of horizontal surface on ground

G solar = G D \cdot \cos (i) + G d

How to Evaluate Radius of sun given total solar irradiance?

Radius of sun given total solar irradiance evaluator uses Radius of the Sun = (((Mean Distance between Sun and Planet^2)*Total Solar Irradiance)/([Stefan-BoltZ]*(Effective Surface Temperature^4)))^0.5 to evaluate the Radius of the Sun, Radius of sun given total solar irradiance formula is defined as a method to estimate the radius of the sun based on the total solar irradiance, which is the amount of solar energy the Earth receives per unit area. Radius of the Sun is denoted by r symbol.

How to evaluate Radius of sun given total solar irradiance using this online evaluator? To use this online evaluator for Radius of sun given total solar irradiance, enter Mean Distance between Sun and Planet (L), Total Solar Irradiance (G_s) & Effective Surface Temperature (T_s) and hit the calculate button.

FAQs on Radius of sun given total solar irradiance

What is the formula to find Radius of sun given total solar irradiance?

The formula of Radius of sun given total solar irradiance is expressed as Radius of the Sun = (((Mean Distance between Sun and Planet^2)*Total Solar Irradiance)/([Stefan-BoltZ]*(Effective Surface Temperature^4)))^0.5. Here is an example- 7E+8 = (((150000000000^2)*1373)/([Stefan-BoltZ]*(5780^4)))^0.5.

How to calculate Radius of sun given total solar irradiance?

With Mean Distance between Sun and Planet (L), Total Solar Irradiance (G_s) & Effective Surface Temperature (T_s) we can find Radius of sun given total solar irradiance using the formula - Radius of the Sun = (((Mean Distance between Sun and Planet^2)*Total Solar Irradiance)/([Stefan-BoltZ]*(Effective Surface Temperature^4)))^0.5. This formula also uses Stefan-Boltzmann Constant .

Can the Radius of sun given total solar irradiance be negative?

No, the Radius of sun given total solar irradiance, measured in Length cannot be negative.

Which unit is used to measure Radius of sun given total solar irradiance?

Radius of sun given total solar irradiance is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of sun given total solar irradiance can be measured.

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Radius of sun given total solar irradiance Formula

Radius of sun given total solar irradiance Example

Radius of sun given total solar irradiance Solution

Radius of sun given total solar irradiance Formula Elements

Other formulas in Atmospheric and Solar Radiation category

How to Evaluate Radius of sun given total solar irradiance?

FAQs on Radius of sun given total solar irradiance

Variable Name