In this problem you will consider the balance of thermal energy radiated and abs

Question

In this problem you will consider the balance of thermal energy radiated and absorbed by a person.
Assume that the person is wearing only a skimpy bathing suit of negligible area. As a rough approximation, the area of a human body may be considered to be that of the sides of a cylinder of length and circumference .

For the Stefan-Boltzmann constant use .
If the surface temperature of the skin is taken to be , how much thermal power does the body described in the introduction radiate?
Take the emissivity to be .

Explanation / Answer

For black body radiation, P(emit) = AseT4 is the emitted power by the body, where s is the S-B constant and e is the emissivity. Remember, T is in kelvin. The power absorbed by the body can be thought of as the power emitted by the surrounding - P(absorb) = AseT(surrounding)4 The difference, P(emit) - P(absorb), is the net power radiated by the person.

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