Statement of a problem № 41675


The Bernoulli effect can have important consequences for the design of buildings. For example, wind can blow around a skyscraper at remarkably high speed, creating low pressure. The higher atmospheric pressure in the still air inside the buildings can cause windows to pop out. As originally constructed the John Hancock building in Boston popped window panes which fell many stories to the sidewalk below, (a) Suppose that a horizontal wind blows in streamline flow with a speed of 11.2 m/s outside a large pane of plate glass with dimensions 4.00 m x 1.50 m. Assume the density of the air to be uniform at 1.30 kg/m3. The air inside the building is at atmospheric pressure. What is the total force exerted by air on the window pane? (b) What If? If a second skyscraper is built nearby, the air speed can be especially high where wind passes through the narrow separation between the buildings. Solve part (a) Again if the wind speed is 22.4 m/s, twice as high.

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