Answer
The upward force exerted on each wing is $1.91\times 10^5~N$
Work Step by Step
Let $P_1$ be the pressure below the wing and let $P_2$ be the pressure above the wing. We can use Bernoulli's equation to find the pressure difference below the wing and above the wing:
$P_1 + \frac{1}{2}\rho~v_1^2 = P_2+\frac{1}{2}\rho~v_2^2$
$P_1 - P_2 = \frac{1}{2}\rho~(v_2^2-v_1^2)$
$P_1 - P_2 = (\frac{1}{2})(1.3~kg/m^3)~[(190~m/s)^2-(160~m/s)^2]$
$P_1 - P_2 = 6825~N/m^2$
We can find the force that this pressure difference exerts on each wing:
$F = \Delta P~A$
$F = (6825~N/m^2)(28~m^2)$
$F = 1.91\times 10^5~N$
The upward force exerted on each wing is $1.91\times 10^5~N$.
