The total power consumption by all humans on earth is approximately 10^13 W. Let

Question

The total power consumption by all humans on earth is approximately 10^13 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/m^2. The earth's radius is 6.37 times 10^6 m. What is the total solar power received by the earth? Express your answer to two significant figures and include the appropriate units. By what factor does solar power received by the earth exceed the total human power consumption? Express your answer using two significant figures.

Explanation / Answer

a)

Power received by the earth is

Pearth=IA=1380*[pi*(6.37*106)2]

Pearth=1.76*1017 Watts

b)

Pearth/Phumans=(1.76*1017)/(1013)=1.76*104

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