Problem 16-1 - Example 16-1 An astronomer measures the...

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Example 16-1 An astronomer measures the spectrum of the sun and finds that the maximum wavelength is at 500 nm. The distance between the earth and the sun is 1.5 x 10 11 m. The angle that the sun’s disk subtends in the earth sky is 0.5309 degrees. If the sun is assumed to radiate like a black body a) Determine the solar temperature b) Determine the heat flux in W/m 2 from the sun received at earth orbit (outside the atmosphere) Solution: a) From Wien’s law max 3 2898μmK TC λ == max 1m 500 nm 0.5 m 1000 nm µ ⎛⎞ ⎜⎟ ⎝⎠ max 2898 2898 m K 5796K 0.5 m T λµ = b) The angle subtended by the sun is
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2r a d 0.5309 deg 0.009266 rad 360 deg π θ == D r = ( ) 11 9 0.009266 1.5 10 m 1.39 10 m Dr × = × The total energy emitted by the sun is 44
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Problem 16-1 - Example 16-1 An astronomer measures the...

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