Every few years, winds in Boulder, Colorado, attain sustained speeds of 45.0 m/s (about 100 mi/h) when the jet stream descends during early spring. show answer No Attempt Approximately what is the force due to the Bernoulli effect on a roof having an area of 205 m2? Typical air density in Boulder is 1.14 kg/m3 , and the corresponding atmospheric pressure is 8.89 × 104 N/m2 . (Bernoulli’s principle assumes a laminar flow. Using the principle here produces only an approximate result, because there is significant turbulence.)

The force exerted on the roof is

Explanation:

From the question we are told that

      The speed of the wind is

       The area of the roof is

       The air density of Boulder is

        The atmospheric pressure is

For a laminar flow the Bernoulli’s principle is  mathematically represented as

Where   is the  speed of air in  the building

              is the speed of air outside the building

              are the pressure of inside and outside the house

              are the height above and  below the roof

Now for  

            The above equation becomes

Since pressure is mathematically represented as

The above equation can be written as

The initial velocity is 0

    Substituting value  

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