Radius of sun given total solar irradiance Calculator

✖The Mean Distance between Sun and Planet is the average space separating a planet from the Sun, influencing solar radiation and climate conditions on the planet.ⓘ Mean Distance between Sun and Planet [L]			+10% -10%
✖The Total Solar Irradiance is the total amount of solar energy received per unit area at the top of the Earth's atmosphere, influencing climate and weather patterns.ⓘ Total Solar Irradiance [G_s]			+10% -10%
✖The Effective Surface Temperature is the temperature of a surface that accounts for the effects of radiation and heat transfer in the atmosphere.ⓘ Effective Surface Temperature [T_s]			+10% -10%

✖The Radius of the Sun is the distance from the center of the Sun to its surface, playing a crucial role in understanding solar radiation and its effects on the solar system.ⓘ Radius of sun given total solar irradiance [r]

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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) - The Radius of the Sun is the distance from the center of the Sun to its surface, playing a crucial role in understanding solar radiation and its effects on the solar system.
Mean Distance between Sun and Planet - (Measured in Meter) - The Mean Distance between Sun and Planet is the average space separating a planet from the Sun, influencing solar radiation and climate conditions on the planet.
Total Solar Irradiance - (Measured in Watt per Square Meter) - The Total Solar Irradiance is the total amount of solar energy received per unit area at the top of the Earth's atmosphere, influencing climate and weather patterns.
Effective Surface Temperature - (Measured in Kelvin) - The Effective Surface Temperature is the temperature of a surface that accounts for the effects of radiation and heat transfer in the atmosphere.

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: 5774.461 Kelvin --> 5774.461 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]*(5774.461^4)))^0.5

Evaluating ... ...

r = 699999997.44871

STEP 3: Convert Result to Output's Unit

699999997.44871 Meter --> No Conversion Required

FINAL ANSWER

699999997.44871 ≈ 7E+8 Meter <-- Radius of the Sun

(Calculation completed in 00.004 seconds)

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Created by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has created this Calculator and 100+ more calculators!

Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has verified this Calculator and 400+ more calculators!

< Atmospheric and Solar Radiation Calculators

Effective surface temperature of sun given solar constant

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX Go Total Solar Irradiance = ((Radius of the Sun^2)*[Stefan-BoltZ]*(Effective Surface Temperature^4))/(Mean Distance between Sun and Planet^2)

Radius of sun given total solar irradiance Formula

LaTeX Go

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, 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 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]*(5774.461^4)))^0.5.

FAQ

What is Radius of sun given total solar irradiance?

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 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. The Mean Distance between Sun and Planet is the average space separating a planet from the Sun, influencing solar radiation and climate conditions on the planet, The Total Solar Irradiance is the total amount of solar energy received per unit area at the top of the Earth's atmosphere, influencing climate and weather patterns & The Effective Surface Temperature is the temperature of a surface that accounts for the effects of radiation and heat transfer in the atmosphere.

How to calculate Radius of sun given total solar irradiance?

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 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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