Radius of sun given total solar irradiance Calculator

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✖Mean distance between sun and planet is the mean distance between sun/star and earth/planet.ⓘ Mean distance between sun and planet [L]			+10% -10%
✖Total solar irradiance or solar constant is the solar energy reaching the earth’s/planet's atmosphere.ⓘ Total solar irradiance [G_s]			+10% -10%
✖Effective surface temperature is the surface temperature of the sun/star.ⓘ Effective surface temperature [T_s]			+10% -10%

✖Radius of the sun is the radius of the sun/star.ⓘ Radius of sun given total solar irradiance [r]

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Radius of sun given total solar irradiance

Formula

`"r" = ((("L"^2)*"G"_{"s"})/("[Stefan-BoltZ]"*("T"_{"s"}^4)))^0.5`

Example

`"7E^8m"=(((("1.5e11m")^2)*"1373W/m²")/("[Stefan-BoltZ]"*(("5780K")^4)))^0.5`

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Radius of sun given total solar irradiance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of the sun = (((Mean distance between sun and planet^2)*Total solar irradiance)/([Stefan-BoltZ]*(Effective surface temperature^4)))^0.5
r = (((L^2)*G_s)/([Stefan-BoltZ]*(T_s^4)))^0.5
This formula uses 1 Constants, 4 Variables

Constants Used

[Stefan-BoltZ] - Stefan-Boltzmann Constant Value Taken As 5.670367E-8

Variables Used

Radius of the sun - (Measured in Meter) - Radius of the sun is the radius of the sun/star.
Mean distance between sun and planet - (Measured in Meter) - Mean distance between sun and planet is the mean distance between sun/star and earth/planet.
Total solar irradiance - (Measured in Watt per Square Meter) - Total solar irradiance or solar constant is the solar energy reaching the earth’s/planet's atmosphere.
Effective surface temperature - (Measured in Kelvin) - Effective surface temperature is the surface temperature of the sun/star.

STEP 1: Convert Input(s) to Base Unit

Mean distance between sun and planet: 150000000000 Meter --> 150000000000 Meter No Conversion Required
Total solar irradiance: 1373 Watt per Square Meter --> 1373 Watt per Square Meter No Conversion Required
Effective surface temperature: 5780 Kelvin --> 5780 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = (((L^2)*G_s)/([Stefan-BoltZ]*(T_s^4)))^0.5 --> (((150000000000^2)*1373)/([Stefan-BoltZ]*(5780^4)))^0.5

Evaluating ... ...

r = 698659013.999277

STEP 3: Convert Result to Output's Unit

698659013.999277 Meter --> No Conversion Required

FINAL ANSWER

698659013.999277 ≈ 7E+8 Meter <-- Radius of the sun

(Calculation completed in 00.004 seconds)

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Created by Sai Venkata Phanindra Chary Arendra

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< 6 Atmospheric and Solar Radiation Calculators

Effective surface temperature of sun given solar constant

Go Effective surface temperature = (((Mean distance between sun and planet^2)*Total solar irradiance)/((Radius of the sun^2)*[Stefan-BoltZ]))^0.25

Radius of sun given total solar irradiance

Go Radius of the sun = (((Mean distance between sun and planet^2)*Total solar irradiance)/([Stefan-BoltZ]*(Effective surface temperature^4)))^0.5

Mean distance between sun or star and earth or planet

Go Mean distance between sun and planet = (((Radius of the sun^2)*[Stefan-BoltZ]*(Effective surface temperature^4))/Total solar irradiance)^0.5

Total solar irradiance or solar constant

Go Total solar irradiance = ((Radius of the sun^2)*[Stefan-BoltZ]*(Effective surface temperature^4))/(Mean distance between sun and planet^2)

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

Go Total solar energy = Direct solar radiation*cos(Angle of Incidence)+Diffuse solar radiation

Diffuse solar radiation given total solar energy and direct radiation

Go Diffuse solar radiation = Total solar energy-Direct solar radiation*cos(Angle of Incidence)

Radius of sun given total solar irradiance Formula

Radius of the sun = (((Mean distance between sun and planet^2)*Total solar irradiance)/([Stefan-BoltZ]*(Effective surface temperature^4)))^0.5
r = (((L^2)*G_s)/([Stefan-BoltZ]*(T_s^4)))^0.5

What is total solar irradiance?

The total solar irradiance (also called the solar constant) represents the rate at which solar energy is incident on a surface normal to the sun’s rays at the outer edge of the atmosphere when the earth is at its mean distance from the sun.

How to Calculate Radius of sun given total solar irradiance?

Radius of sun given total solar irradiance calculator uses Radius of the sun = (((Mean distance between sun and planet^2)*Total solar irradiance)/([Stefan-BoltZ]*(Effective surface temperature^4)))^0.5 to calculate the Radius of the sun, The Radius of sun given total solar irradiance formula is defined as the radius of the sun/star in terms of the mean distance between sun and planet, total solar irradiance. and effective surface temperature of the sun. Radius of the sun is denoted by r symbol.

How to calculate Radius of sun given total solar irradiance using this online calculator? To use this online calculator 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. Here is how the Radius of sun given total solar irradiance calculation can be explained with given input values -> 7E+8 = (((150000000000^2)*1373)/([Stefan-BoltZ]*(5780^4)))^0.5.

FAQ

What is Radius of sun given total solar irradiance?

The Radius of sun given total solar irradiance formula is defined as the radius of the sun/star in terms of the mean distance between sun and planet, total solar irradiance. and effective surface temperature of the sun and is represented as r = (((L^2)*G_s)/([Stefan-BoltZ]*(T_s^4)))^0.5 or Radius of the sun = (((Mean distance between sun and planet^2)*Total solar irradiance)/([Stefan-BoltZ]*(Effective surface temperature^4)))^0.5. Mean distance between sun and planet is the mean distance between sun/star and earth/planet, Total solar irradiance or solar constant is the solar energy reaching the earth’s/planet's atmosphere & Effective surface temperature is the surface temperature of the sun/star.

How to calculate Radius of sun given total solar irradiance?

The Radius of sun given total solar irradiance formula is defined as the radius of the sun/star in terms of the mean distance between sun and planet, total solar irradiance. and effective surface temperature of the sun is calculated using Radius of the sun = (((Mean distance between sun and planet^2)*Total solar irradiance)/([Stefan-BoltZ]*(Effective surface temperature^4)))^0.5. To calculate Radius of sun given total solar irradiance, you need Mean distance between sun and planet (L), Total solar irradiance (G_s) & Effective surface temperature (T_s). With our tool, you need to enter the respective value for Mean distance between sun and planet, Total solar irradiance & Effective surface temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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