Calculate the equilibrium temperature of the plate, based on the incoming solar radiation and the outgoing radiation from the plate back to outer space.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A white flying saucer made of aluminum is in outer space, and the sun is shining on the
top surface of it. It has a surface area of 1 m² per side. The absorptivity (a) for white
paint is 0.3 to 0.5 for solar radiation (H&H Tbl. 4.1), so a good assumption would be to
use the average of 0.4. The emissivity (ɛ) for white paint in the 0-38°C range is 0.9.
Incoming solar radiation intensity in outer space is 1353 W/m² (p. 12 in H&H). You may
assume that there is no conductive or convective heat loss from the plate, as it is almost a
vacuum in outer space.
Calculate the equilibrium temperature of the plate, based on the incoming solar radiation
and the outgoing radiation from the plate back to outer space.
Transcribed Image Text:A white flying saucer made of aluminum is in outer space, and the sun is shining on the top surface of it. It has a surface area of 1 m² per side. The absorptivity (a) for white paint is 0.3 to 0.5 for solar radiation (H&H Tbl. 4.1), so a good assumption would be to use the average of 0.4. The emissivity (ɛ) for white paint in the 0-38°C range is 0.9. Incoming solar radiation intensity in outer space is 1353 W/m² (p. 12 in H&H). You may assume that there is no conductive or convective heat loss from the plate, as it is almost a vacuum in outer space. Calculate the equilibrium temperature of the plate, based on the incoming solar radiation and the outgoing radiation from the plate back to outer space.
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