Answer :
Answer
given,
Pressure on the top wing = 265 m/s
speed of underneath wings = 234 m/s
mass of the airplane = 7.2 × 10³ kg
density of air = 1.29 kg/m³
using Bernoulli's equation
[tex]P_1 + \dfrac{1}{2}\rho v_1^2 = P_2 + \dfrac{1}{2}\rho v_2^2[/tex]
[tex]\Delta P =\dfrac{1}{2}\rho (v_2^2-v_1^2)[/tex]
[tex]\Delta P =\dfrac{1}{2}\times 1.29\times (265^2-234^2)[/tex]
[tex]\Delta P =9977.5 Pa[/tex]
Applying newtons second law
2 Δ P x A - mg = 0
[tex]A =\dfrac{mg}{2\Delta P}[/tex]
[tex]A =\dfrac{7.2\times 10^3 \times 9.8}{2\times 9977.5}[/tex]
A = 3.53 m²