Answer:
W =23807.68 N
Explanation:
given,
surface area of wing = 19.4 m²
speed over top wing = 67 m/s
speed under wing = 51 m/s
density of air = 1.3 kg/m³
weight of plane
From Bernoulli's principle
[tex]P_1 + \dfrac{1}{2}\rho v_1^2 = P_2 + \dfrac{1}{2}\rho_2^2[/tex]
where 1 and 2 are two different locations at the same geo potential level
so if we call 1 the lower surface and 2 the upper surface,
we find the pressure differential, P₁ -P₂
[tex]\Delta P =\dfrac{1}{2}\rho (v_2^2-v_1^2)[/tex]
[tex]\Delta P =\dfrac{1}{2}\times 1.3 \times (67^2-51^2)[/tex]
[tex]\Delta P =1227.2\ N/m^2[/tex]
then the force acting on the plane is
F=P A
F=1227.2 x 19.4
F =23807.68 N
weight of the plane
W =23807.68 N
