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Written Challenge Problem, Planetary Temperatures: The Sun radiates 3.86x1026W. Earth's distance from it is called an "astronomical unit" (AU) and that is roughly 1.50x10"m. Earth itself has a radius of 6.37x10°m. Use these numbers to calculate the temperature that Earth must have, in order that its radiated power equal the amount of power it absorbs from the Sun. Use o = 5.67x10°(W/m*K*) for the Stefan-Boltzmann constant.

Written Challenge Problem, Planetary Temperatures: The Sun radiates 3.86x1026W. Earth's distance from it is called an "astronomical unit" (AU) and that is roughly 1.50x10"m. Earth itself has a radius of 6.37x10°m. Use these numbers to calculate the temperature that Earth must have, in order that its radiated power equal the amount of power it absorbs from the Sun. Use o = 5.67x10°(W/m*K*) for the Stefan-Boltzmann constant.

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1) Draw a pictorial representation of the problem. You may want to use separate pictures to represent the different stages of the problem outlined below. 2) Find the intensity of the Sun's light at Earth's location. 3) Treating the absorbing area of the Earth as a circle, find the total power absorbed by the Earth.
Transcribed Image Text:1) Draw a pictorial representation of the problem. You may want to use separate pictures to represent the different stages of the problem outlined below. 2) Find the intensity of the Sun's light at Earth's location. 3) Treating the absorbing area of the Earth as a circle, find the total power absorbed by the Earth.
Written Challenge Problem, Planetary Temperatures: The Sun radiates 3.86x1026W. Earth's distance from it is called an "astronomical unit" (AU) and that is roughly 1.50x10"m. Earth itself has a radius of 6.37x10°m. Use these numbers to calculate the temperature that Earth must have, in order that its radiated power equal the amount of power it absorbs from the Sun. Use o = 5.67x10*(w/m²K*) for the Stefan-Boltzmann constant.
Transcribed Image Text:Written Challenge Problem, Planetary Temperatures: The Sun radiates 3.86x1026W. Earth's distance from it is called an "astronomical unit" (AU) and that is roughly 1.50x10"m. Earth itself has a radius of 6.37x10°m. Use these numbers to calculate the temperature that Earth must have, in order that its radiated power equal the amount of power it absorbs from the Sun. Use o = 5.67x10*(w/m²K*) for the Stefan-Boltzmann constant.
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