Question $3$

$3$ Marks

A supersonic fighter flying at Mach $2$ In a steady, level flight, and weight is $7000$ kg $.$ Its wing planform

area is $19m^2.$ Calculate its angle of attack at Mach $2$ when it is flying at $10$ km $.$ If the pilot at altitude of

$10$ km $,$ suddenly pitched the airplane to an angle of attack of $8,$ calculate the instantaneous lift exerted on

the airplane. $($At $10km.T=223\mathrm{.}26K,$ and Density $=1\mathrm{.}225k\frac{g}{m^3})$