Air flows at \(60 \mathrm{~m} / \mathrm{s}\) at the inlet of a tunnel, where \(A_{1}=0.5 \mathrm{~m}^{2}\) under sea level conditions. At the exit of the tunnel, the area \(A_{2}=0.2 \mathrm{~m}^{2}\).

a. What is airspeed, and air pressure at the exit, if we treat the air as incompressible?

b. What is the air temperature \(T_{2}\) at the exit, if it is incompressible?

c. Recalculate the airspeed \(v_{2}\) at the exit, assuming that there is no heat transfer within the tunnel if the air temperature at the exit \(T_{2}=278 \mathrm{~K}\). What is the air density at the exit \(ho_{2}\) ?

d. What is the stagnation temperature and pressure, when this airflow (no heat transfer) encounters the leading edge of an object?