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Every few years, winds in Boulder, Colorado, attain
Chapter 12, Problem 21(choose chapter or problem)
Problem 21PE
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. Approximately what is the force due to the Bernoulli effect on a roof having an area of 220 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 as stated in the text assumes laminar flow. Using the principle here produces only an approximate result, because there is significant turbulence.)
Questions & Answers
QUESTION:
Problem 21PE
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. Approximately what is the force due to the Bernoulli effect on a roof having an area of 220 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 as stated in the text assumes laminar flow. Using the principle here produces only an approximate result, because there is significant turbulence.)
ANSWER:
Solution
Step 1 of Step 3
For this problem we have to the turbulence, and then we can use Bernoulli’s equation. The Bernoulli’s equation is given by
Where since heights are same. And we are considering the above and below of the roof. The velocity and the speed , the pressures are and that can be written as
