The Sun radiates 3.86x10²ºW. 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.
The Sun radiates 3.86x10²ºW. 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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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.
Transcribed Image Text:4) Treating the Earth as a spherical black body, and assuming the power that it emits is equal to the
power absorbed from the Sun, find the temperature of the Earth.
5) Comment briefly on whether your result is reasonably believable. Look up the Earth's average
surface temperature. What is the percent difference between your answer and this value? Is
there a good reason you would expect your value to be higher or lower than the actual
temperature?
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