(a) If this jet is in horizontal flight, determine the pressure difference betwe

Question

   

(a) If this jet is in horizontal flight, determine the pressure difference between the lower and upper               surfaces of the wings. (units Pa)

(b) When the speed of air traveling over the wing is 227 m/s, determine the speed of air under the wing.       Use 1.29 kg/m3 as the density of air. (units m/s)

A small jet airplane has a total wing area of 77.5 m2 and a mass of 7.23 Times 104 kg. If this jet is in horizontal flight, determine the pressure difference between the lower and upper surfaces of the wings. (units Pa) When the speed of air traveling over the wing is 227 m/s, determine the speed of air under the wing. Use 1.29 kg/m3 as the density of air. (units m/s)

Explanation / Answer

a)

P_lower - P_upper = m*g/A


= 7.23*10^4*9.8/77.5

= 914.2 Pa

b)

P_lower + 0.5*rho*V1^2 = P_upper + 0.5*rho*v2^2

0.5*rho*v1^2 = P_upper - P_lower + 0.5*rho*v2^2

0.5*1.29*v1^2 = -914.2 + 0.5*1.29*227^2

0.5*1.29*v1^2 = 32322.005


v = sqrt(2*32322.005/1.29)

v = 223.8 m/s

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