Bernoulli's Equation: Finding the net force of wind blowing over a house

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SUMMARY

The discussion focuses on calculating the net force exerted by wind at 35 m/s on a flat roof with an area of 240 m² using Bernoulli's Equation. The relevant equations include P = F/A and P1 + 1/2pv² = constant. The key insight is recognizing that the pressure beneath the roof is static while the pressure above is dynamic due to the wind velocity, leading to a pressure differential that can be used to determine the net force on the roof.

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Homework Statement


If wind blows at 35m/s over a house, what is the net force on the roof if its area is 240m^2 and is flat?

Homework Equations


P=F/A and P1 + 1/2pv^2 = constant

The Attempt at a Solution


I have no idea on how to find pressure, because if I sub it into P1 + 1/2pv^2 = constant, it wouldn't work because the pressures would turn out the same because the roof is flat.
 
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That's funny. I don't see a term for 'flat roof' in the Bernoulli equation.

However, look at the situation this way. The air under the roof is stagnant and has no velocity. The air above the roof is blowing with a velocity of 35 m/s.
What you are saying is that P1 + 1/2p*0 = P1 + 1/2p*35^2
 

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