Consider a flat plate with a chord length (from leading to trailing edge) of \(1 \mathrm{~m}\). The free-stream flow properties are \(M_{1}=3, p_{1}=1 \mathrm{~atm}\), and \(T_{1}=270 \mathrm{~K}\). Using shock-expansion theory, tabulate and plot on graph paper these properties as functions of angle of attack from 0 to \(30^{\circ}\) (use increments of \(5^{\circ}\) ):

a. Pressure on the top surface

b. Pressure on the bottom surface

c. Temperature on the top surface

d. Temperature on the bottom surface

e. Lift per unit span

f. Drag per unit span 

g. Lift/drag ratio