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

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Homework Help Overview

The discussion revolves around understanding how wind speed and air pressure differences affect a house's roof. The problem involves calculating the pressure difference between the inside and outside of the roof due to wind and determining the force applied by the inside air.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relevance of the Venturi effect and Bernoulli's principle in relation to the problem. There are attempts to connect the concepts of air pressure differences and wind speed to the equations needed for the calculations.

Discussion Status

The discussion is ongoing, with participants exploring the application of known principles like the Venturi effect and Bernoulli's equation. There is a recognition of the relationship between air flow and pressure but no consensus on the next steps or specific equations to use.

Contextual Notes

Participants note a lack of clarity on which equations to apply, particularly in relation to the given parameters such as mass and air density. The original poster expresses uncertainty about how to proceed with the problem.

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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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