How do wind and air pressure affect a house's roof?

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Wind speed creates a pressure difference between the roof's interior and exterior, affecting the roof's stability. To calculate the pressure difference (PA - PB), Bernoulli's principle can be applied, which relates airspeed and pressure. The force exerted on the roof by the stagnant air inside can also be derived from this pressure difference. Understanding the Venturi effect is crucial, as it illustrates how faster airflow over the roof reduces pressure compared to the still air inside. Proper application of these principles is essential for solving the problem effectively.
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Homework Statement


Frensley_Fluids_Bernoulli_012.gif



A house has a roof with an area of 220 m2. Wind blows over the top with a speed of 10 m/s. The density of air is 1.29 kg/m2. The air inside the house is stagnant. Point A is just inside the roof, and point B is outside the roof at the same height.

(a) What is the difference in pressure (PA - PB) between points A and B?


(b) What force is applied to the roof by the inside air?



Homework Equations


This is where I'm stuck at


The Attempt at a Solution


I don't know what equations to apply here, they all involve mass, but that's not a given.
 
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Have you studied the Venturi effect? Look it up.
 
gneill said:
Have you studied the Venturi effect? Look it up.

Yes, I've studied it, but how does that apply here?
 
asheik234 said:
Yes, I've studied it, but how does that apply here?

Um, air flowing faster over roof than under roof... air pressure difference... area of roof...
 
gneill said:
Um, air flowing faster over roof than under roof... air pressure difference... area of roof...

Oh yes, I realized that, but I don't know where to go from there, what equations should I use.
 
asheik234 said:
Oh yes, I realized that, but I don't know where to go from there, what equations should I use.

What equation pertains to the venturi effect? Look up venturi effect.
 
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