Set 54 Problem number 5


Problem

Problem: What is the power flux of light whose intensity is 4.1 watts/m ^ 2 through a square window with side 2.2 meters, if the sunlight makes an angle of 22 degrees with a perpendicular to the plane of the window?

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Solution

Solution: The area of the window is ( 2.2 m) ^ 2 = 4.84 m ^ 2, so the  flux of a perpendicular 4.1 watt/m ^ 2 beam would be ( 4.1 watts / m ^ 2)( 4.84 m ^ 2) = 19.84 watts. The 22 degree angle entails an additional factor of cos( 22 deg) = .9272, so the flux is ( 19.84 watts)( .9272) = 18.39 watts.

Generalized Solution

Generalized Response:

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Explanation in terms of Figure(s), Extension

Figure description:

Figure(s)