$(35$ pts$)$ The resultant force due to both pressure forces and wall shear forces acting on an ellipsoidal$-$shaped body is measured to be $700$ N $,$ with the force acting at a $35$ angle to the direction of flow, as sketched. The fluid is air at $21C,$ the pressure is one standard atmosphere, the freestream velocity is $55\mathrm{.}0\frac{m}{s},$ and the characteristic area of the body is $0\mathrm{.}510m^2.($Use this area for calculation of both drag and lift coefficients.$)$

$($a$)$ Determine the drag and the lift forces acting on the body.

$($b$)$ Calculate the drag coefficient and lift coefficient.

$($c$)$ Suppose a $\frac{1}{4^{th}}-$scale model is tested in a wind tunnel using the same air. How fast should the wind tunnel be run? Do you notice any problem with this? Explain. Any suggestions about what to do about this problem?