(Solved): 2) (30 points) The jet engine in the figure below admits air with temperature of 290K and pressur ...

2) (30 points) The jet engine in the figure below admits air with temperature of $290\mathrm{K}$ and pressure of $1\mathrm{atm}=1.01\times 10^5\mathrm{N}/{\mathrm{m}}^2$ at station (1). where $A_1=0.5{\mathrm{m}}^2$ and $V_1=250\mathrm{m}/\mathrm{s}$. The air leaves section (2) where $A_2=0.2{\mathrm{m}}^2$. Assuming temperature, pressure, and density not changing from (1) to (2). a) For the control volume shown, write the continuity equation, and assume steady, incompressible, inviscid, one-dimensional flow. Find exit velocity $V_2$. b) For the control volume shown, write the momentum equation, and assume the same assumptions in (a). Find Thrust force. Hint: density can be calculated based on the equation of state in Note 1.