Answer:
6.4 × 10^7 W/m^2
Explanation:
The sun is assumed a sphere and therefore can be calculated by the surface area of a sphere.
surface area of sphere = 4πr^2 where r is the radius of the earth in m.
r = 6.96 ×10^8 m
substitute the value into the formula
surface area of the sun = 4 × 3.142 × ( 6.96 × 10^8)^2
the sun radiates at a rate of 3.90 × 10^26 W
to calculate the rate of energy emitted per square meter of the sun, we need to divide the rates at which the sun radiates energy per second by the surface area of the sun
that is P/surface area = 3.90 × 10^26 / ( 4 × 3.142 × ( 6.96 × 10^8)^2 = 6.4 × 10^7 W/m^2
