Need a quick answer. An aircraft lands moving to the left. Air flows into the je

Question

Need a quick answer.

An aircraft lands moving to the left. Air flows into the jet engine shown below at a rate of 8 slugs/s and a speed of 250 ft/s. Upon landing, a thrust reverser is deployed and the exhaust exits at speed of 750 ft/s in the direction indicated. If the reverse thrust applied to the airplane is 7440 lb in the +x direction (to the right), what is the angle theta?. Assume the inlet and exit pressures are atmospheric and that the mass flow rate of the fuel is negligible compared to the air flow rate through the engine.

Explanation / Answer

as the volume intake=volume out going;

250*pi*4^2/4=2*750*pi*d^2/4(=x); d=1.633 ft;

force applied=rho*v^2*a on equating along x direction

7440*g=rho*(x)*(2*V2cos(theta)-V1);(V2=750 & V1=250)

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