$(10$pts$)$ You are tasked with conducting a scaled experiment of a model wing in a subsonic

wind tunnel. The prototype wing is expected to have a chord length of $4\mathrm{.}25$ ft and a span

of $14$ ft $.$ The prototype wing will operate at an altitude with a pressure and temperature

of $1456\mathrm{.}0$ psf and $483R,$ respectively, and at a cruise velocity of $175f\frac{t}{s}.$ Using aspect

ratio for geometric similarity, determine the chord length of the model, and using Reynolds

number to keep dynamic similarity, determine the test section velocity for the model. The

test section of the wind tunnel limits your model to a span of $3$ ft $.$ Assume standard sea$-$

level conditions for the wind tunnel $(p=2116\mathrm{.}8psf$;$T=518\mathrm{.}69R)$ and that changes in

viscosity between model and prototype conditions are negligible. Also, determine whether

you would also be able to maintain kinematic similarity by matching Mach number between

model and prototype.