Question

High winds blow across the top of the house.

The air at Blank speed has blank pressure.
The air inside the house has blank speed."

It seems like you have a sentence with blanks to be filled in. Without the specific values for the blanks, it's difficult to provide an accurate response. Please provide the missing information.

Answer 1

The student's question is about calculating the force on a house's roof due to the Bernoulli effect, given high wind velocities. Bernoulli's principle, which correlates higher wind speeds with lower pressure, is used for this approximation, even though actual conditions may involve turbulent flow.

Step-by-step explanation:

The question relates to the application of Bernoulli's principle in the context of wind blowing across the top of a house. Specifically, it is asking about the force exerted on a roof due to the Bernoulli effect when high winds occur, which can be estimated despite the turbulence that such conditions entail. To answer this question, we can employ the Bernoulli equation to find the pressure difference, and then multiply it by the roof's area to estimate the force.

Step-by-step solution to the problem:

1. Assess the given data: wind speed (45.0 m/s), roof area (220 m2), air density (1.14 kg/m3), and atmospheric pressure (8.89 × 104 N/m2).
2. Utilize Bernoulli's equation to calculate the drop in pressure as the wind speed increases over the roof. This equation tells us that increased wind speed results in decreased air pressure.
3. Calculate the force on the roof by multiplying the pressure difference by the roof's area.

Even though this problem simplifies the complex situation of wind flow over a structure by assuming laminar flow, it provides a reasonable approximation for the force due to the Bernoulli effect on the house's roof.