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

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

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

Solutions

Expert Solution

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

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

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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

genius_generous answered 2 months ago

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