A hurricane wind blows across a 6.00 m times 15.0 m flat roof at a speed of 190 km/hr.
Is the air pressure above the roof higher or lower than the pressure inside the house? Explain.
Need help
Bernoulli equation:
p + (1/2) rho v^2 = constant
where v is high, p is low.
v --> 0 at house wall so pressure is high at open window (something will be open because force breaks window)
so the pressure is higher inside and roof is lifted up.
To determine if the air pressure above the roof is higher or lower than the pressure inside the house, we need to consider the effects of the hurricane wind.
When wind blows across a surface, it creates an area of lower pressure on the side facing the wind, known as the windward side. Conversely, on the opposite side, there is an area of higher pressure, known as the leeward side.
In this scenario, the wind is blowing across the flat roof. Let's assume that the wind is blowing from left to right. So, the left side of the roof is the windward side, and the right side is the leeward side.
The wind blowing across the roof creates a region of lower pressure on the left (windward) side of the roof. This lower pressure can be explained by Bernoulli's principle, which states that the pressure of a fluid (in this case, air) decreases as its velocity increases.
On the right (leeward) side of the roof, there is an area of higher pressure due to the redirecting flow of air around the roof.
Now, let's consider the pressure inside the house. The pressure inside the house primarily depends on factors like ventilation, air conditioning, and any open windows or doors. Without additional information, we can assume that the pressure inside the house is relatively stable.
Given the above information, we can conclude that the air pressure above the roof, especially on the leeward side, is most likely higher than the pressure inside the house. This pressure difference could potentially lead to air infiltration into the house through gaps, windows, or doors.
It is important to note that other factors, such as the building's design, construction, and surrounding structures, can also influence the pressure difference. Consulting structural engineers and meteorologists would provide more precise assessments in specific situations.