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Monday, September 3, 2012

Q.424. Application of Bernoulli's equation.

Question 424.
Use Bernoulli's equation to estimate the upward force on an airplane's wing if the average flow of speed of air is 191 m/s ABOVE the wing and 162 m/s BELOW the wing. The density of the air is 1.6 kg/m3 and the area of each wing surface is 26.3m3.

Answer 424.
Pressure below the wing is more than pressure above the wing
=> P1 + (1/2) dv1^2 = P2 + (1/2) dv2^2
=> P2 - P1
= (1/2) * 1.6 * [(191)^2 - (162)^2]
= 0.8 * 10237 N/m^2
= 8189.6 N/m^2
=> upward force
= (P2 - P1) x area
= 8189.6 * 26.3 N
= 215386.5 N.

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