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wind blows at the speed of 30m/s across a 175m^2 flat roof if a house.
what is the pressure difference between inside the house and the outside of the house just above the roof? (assume the air pressure inside the house is atmospheric pressure) ​


what is the force on the roof due to pressure difference?

Respuesta :

The pressure difference between inside the house and the outside of the house is 540 Pa.

Pressure based problems:

Using Bernoulli's equation.

[tex]P1+\frac{1}{2} \rho v1^2 = P2 + \frac{1}{2} \rho v2^2 \\\\P1 + 0 = \delta P = \frac{1}{2} \rho v2^2 \\\\\delta p = \frac{1}{2}(1.2)(30)^2\\\\\delta p = 540 pa[/tex]

Using pressure definition:

ΔP = F / A

F = 9.45 × 10⁴ N

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