Calculate the temperature of the roof in 20c still air when, Mechanical Engineering

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Calculate the temperature of the roof in 20c still air when

A 30 ft by 40 ft house has a conventional 30? sloping roof with a peak running in the 40 ft direction.

Calculate the temperature of the roof in 20?C still air when the sun is overhead (a) if the roofing is of wooden shingles and (b) if it is commercial aluminum sheet.

The incident solar energy is 670 W/m², Kirchhoff's law applies for both roofs, and the effective sky temperature is 22?C.

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