Final Answer:
The air pressure above the roof is lower than the pressure inside the house.
Step-by-step explanation:
The difference in air pressure is influenced by the Bernoulli's principle and the dynamics of wind flow. As the hurricane wind blows across the flat roof, it accelerates the air above it. According to Bernoulli's principle, an increase in the speed of a fluid (in this case, air) results in a decrease in pressure. Therefore, the faster-moving air above the roof experiences lower pressure compared to the relatively stationary air inside the house.
To quantify this, we can use the Bernoulli's equation:
[ P + frac{1}{2} ρv2 + ρgh = text{constant} ]
where:
- ( P ) is the pressure,
- ( ρ ) is the air density,
- ( v ) is the wind speed,
- ( g ) is the acceleration due to gravity, and
- ( h) is the height.
As the wind speed (( v )) increases, the pressure (( P )) decreases. In this scenario, the hurricane wind's high speed above the roof leads to a lower pressure compared to the pressure inside the house.
In conclusion, the air pressure above the roof is lower than the pressure inside the house due to the increased wind speed following Bernoulli's principle. This pressure difference is a key factor in the dynamics of air movement during a hurricane, contributing to the forces that can affect structures.