Air Is Streaming Past A Horizontal Aeroplane Wing Such That Its Speed Is 120 Ms–1 at The Upper Surface And 90 Ms–1 at The Lower Surface. If The Density Of Air Is 1.3 Kg/m3, Find The Difference In Pressures Between The Two Surfaces Of The Wing. If The Wing Is 10 m long And Has An Average Width Of 2 M, Then Calculate The Gross Lift On It.      

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Question

Air is streaming past a horizontal aeroplane wing such that its speed is 120 ms–1 at the upper surface and 90 ms–1 at the lower surface. If the density of air is 1.3 kg/m3, find the difference in pressures between the two surfaces of the wing. If the wing is 10 m long and has an average width of 2 m, then calculate the gross lift on it.      

Solution

Correct option is

4095 N/m2, 81900 N

 

By the principle of continuity and the Bernoulli’s theorem, the difference in pressure between the upper and the lower surface of the aeroplane wing is  

           

Here v1 and v2 are speeds of air streams at upper and lower surface respectively, and  is density of air.

Substituting the values : 

                

                 .

If the area of the wing is A, then the gross lift on it is  

           

               

                = 81900 N.

SIMILAR QUESTIONS

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Q2

An air bubble of radius 1.0 mm rises with uniform velocity through a viscous liquid of density 1625 kg/m3. Calculate the velocity of the bubble if the coefficient of viscosity of the liquid is 10 poise and the density of air is negligible. (g = 10 m/s2). 

Q3

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Q4

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Q5

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Q6

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Q7

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Q8

The pressure difference between two points along a horizontal pipe, through which water is flowing, is 1.4 cm of mercury. If, due to non-uniform cross-section, the speed of flow of water at the point of greater cross-section is 60 cm/s, calculate the speed at the other point. Density of mercury . 

Q9

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Q10

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