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(a) Find the pressure difference on an airplane wing if air flows over the upper surface...

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Physics

(a) Find the pressure difference on an airplane wing if airflows over the upper surface with a speed of 114m/s , and along thebottom surface with a speed of 107m/s . (in kPa)

(b) If the area of the wing is 32m2 , what is the net upwardforce exerted on the wing? (in kN)

Answer & Explanation Solved by verified expert
4.2 Ratings (746 Votes)

Given that  Speed of air at bottom is v1 = 114 m/s

   the speed of air at top is v2 = 107 m/s

------------------------------------------------------

Bernoulli's equation ,

        P1 + (1/2)? v12 + ?gh = P2 + (1/2)? v22 + ?gh

        ?P = (1/2)? v22 -  (1/2)? v12

              = (1/2)?(v22 - v12)

              = (1/2)(1.29 kg/m3)(114^2m/s2 - 107^2m/s2 )

              = 997.815 Pa

              = 0.997 kPa

(b) Upward force exerted on the wing is

              F = ?P*A

                 = (997.815 Pa)(32 m2)

                 = 31930.08 N

                 = 31.93 kN

  
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