$(20$ points$)$ Consider a low$-$speed open$-$circuit subsonic wind tunnel with an inlet$-$to$-$

throat area ratio of $9.$ The tunnel is turned on$,$ and the pressure difference between the

inlet $($the settling chamber$)$ and the test section is $4000$ N$/$m$2.$ The air density is $1\mathrm{.}23$

kg$/$m$3.$ The static pressure in the test section is $98,000$ Pa$.$ Assume the flow can be treated

as incompressible and inviscid.

a$.$ Calculate the velocity of the air in the test section.

b$.$ Calculate the dynamic pressure in the test section.

c$.$ What stagnation $($total$)$ pressure would be read by a Pitot$-$static probe placed in

the test section?

d$.$ What stagnation $($total$)$ pressure would be read by a Pitot$-$static probe place in the

wind tunnel inlet $($settling chamber$)?$