Question

I need help kinda ASAP!

Earth's daylight surface disk absorbs about 1169 W per m^2 from the Sun. Using 6400 km for the Earth's radius, how much of this radiative power is emitted by each square meter of the spherical Earth? Hint: Compare the ratio of the disk area to the spherical surface area.

Answer 1

We have that  radioactive power is emitted

x=584.5W/m^2

From the question we are told

• Earth's daylight surface disk absorbs about 1169 W per m^2.
• 6400 km for the Earth's radius.

Generally the equation for the earths daylight surface disk  area is mathematically given as

$A=\pi*r^2\\\\A=\pi*6400^2\\\\A=128679635.1m^2$

Generally

Energy absorbed =  energy emitted

Therefore

$1169 *\pi*r^2=2*\pi*6400^2\\\\x=584.5W/m^2$

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