1. -/1 pointsKatzPSEf1 15.P.058. Air flows horizontally with a speed of 107 km/h

Question

1. -/1 pointsKatzPSEf1 15.P.058. Air flows horizontally with a speed of 107 km/h over a house that has a flat roof of area 20.5 m2. Find the magnitude of the net force on the roof due to the air inside and outside the house. The density of air is 1.30 kg/m3, and the thickness of the roof is negligible. Need Help? Read It 2. -/1 pointsKatzPSEf1 15.P068. A device designed for undersea exploration is a solid copper sphere (B 120.0 x 109 Pa) with a radius of 2.00 m. Find the change in volume of the copper sphere when the device is at a depth of 113.5 m below the surface of the ocean. (Include the sign of the value in your answer.) m3 Need Help?Read It to Binder Reflect in ePortfolioDownload

Explanation / Answer

Solution(1):

Let us go to the basics first.

Bernoulli equation tells that the high wind during the storm is created by pressure difference

Also, air has higher pressure (inside the house is still air and has higher pressure) and outside the house has lower pressure (close to atmospheric pressure).

the wind blow from high pressure to low pressure and lift the roof up with a force of
F = (P * A) in Newtons
A = area of roof in m2

P = pressure difference in Pa
d = density of air = 1.30 kg/m3
v = air velocity = 107 km/ hr = 29.72 m/s
P = (1/2)(d)(v2)
P = (1/2)(1.30)(29.722) = 574.13 Pa

Thus, Force F = P*A = 574.13 Pa* 20.5 m2= 11769.665 N (Answer)

Thanks!!!

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