Answer to Question #278706 in Mechanics | Relativity for sky

Question

A jet aircraft is traveling at 230 m/s in horizontal flight. The engine takes in air at a rate of 96.7 kg/s and burns fuel at a rate of 3.96 kg/s. The exhaust gases are ejected at 482 m/s relative to the aircraft. Find the thrust of the jet engine. Answer in units of N.

Answer 1

$F_N=(m_{air}+m_{fuel})V_e-m_{air}V$

where $m_{air}$ - the mass rate of air flow through the engine,

$m_{fuel}$ - the mass rate of propellant flow entering the engine

$V_e$ - the speed of the exhaust gases relative to the aircraft

V - the velocity of the air intake

$F_N=(96.7+3.96)\times482-96.7\times 230=48518.12-22241=26277.12N$