Q. Air flows horizontally with a speed . A house has plane roof of area . The magnitude of aerodynamic lift of the roof is

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Solution:

Air flows just above the roof and there is no air flow just below the roof inside the room.
Therefore and .
Applying Bernaulli's theorem at the points inside and outside the roof, we obtain.
.
Since and


Since the area of the roof is , the aerodynamic lift exerted on it

where density of air