Question

The total power consumption by all humans on earth is approximately 1013 W. Let’s compare this to the power of incoming solar radiation. The intensity of radiation from the sun at the top of the atmosphere is 1380 W/m2. The earth's radius is 6.37×106 m.

Answer 1

Answer:

Power coming from solar radiations is 6.94 * 10^14 times higher that the power consumption of all humans.

Explanation:

Intensity of sunlight = I = 1380 w/m^2

Area of earth  = A = 4*pi*r^2 = 4*pi*(6.37*10^6)^2 = 5.09*10^14 m^2

he intensity is defined as the total power spread over the area of earth (Area of Sphere with radius equal to distance between earth and sun) and given by the following formula:

                        Intenity of sunlight = Power/Area of earth

                                                 I = P/A

                                                 P = IA

                                                 P = (1380)(5.09*10^14)

                                                 P =  7.036*10^17 W

if we take ratio:

                                                 7.036*10^17/1013 = 6.94 * 10^14

Hence, power coming from solar radiations is 6.94 * 10^14 times higher that the power consumption of all humans.