What Is the Force on a Square Roof During High Winds with Bernoulli's Equation?

AI Thread Summary
High winds can create a pressure difference that may result in a roof being blown off a house. Using Bernoulli's equation, the force on a square roof measuring 22.0 m per side was calculated to be 246,356 N, with an air density of 1.21 kg/m³. The calculations involved determining the pressure difference using the formula Pi = Po + 0.5d V². The equation for force was derived as F = (Pi - Po)A = 0.5d V². The discussion invites others to verify the calculations and provide feedback.
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During high winds, the atmospheric pressure inside a house may blow off the roof because of the reduced pressure outside. Calculate the force on a square roof of side 22.0 m if the wind speed over the roof is 29.0

i used bernoulli's equation and got an answer of... 246356N
i used 1.21 as the density of air. could someone check my work please?
 
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anyone care to try?
 
Pi = Po + 0.5d V^2
F = (Pi-Po)A = 0.5 d V^2 ; d is the density = 1.293 kg/m^3
 
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