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Solar panels are installed on a rectangular flat roof. The roof is 4 m by 9 m, and the mass of the panels and framing is 408 kg.

A. Assuming the weight of the panels is evenly distributed over the roof, how much pressure does the solar panel array place on the roof?

Answer :

Final answer:

The solar panel array exerts a pressure of approximately 111.067 N/m² on the roof.

Explanation:

To determine the pressure exerted by the solar panel array on the roof, we need to find the force exerted by the panels and divide it by the area of the roof. The mass of the panels and framing is given as 408 kg. Since the weight is evenly distributed, we can calculate the force as F = m * g, where m is the mass and g is the acceleration due to gravity (9.8 m/s²). Therefore, the force exerted by the panels is 408 kg * 9.8 m/s² = 3998.4 N.The area of the roof is 4 m * 9 m = 36 m². To find the pressure, we divide the force by the area: pressure = force / area = 3998.4 N / 36 m² = 111.067 N/m².Therefore, the solar panel array places a pressure of approximately 111.067 N/m² on the roof.

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