Question

A jet aircraft is traveling at 262 m/s in horizontal flight. The engine takes in air at a rate of 85.9 kg/s and burns fuel at a rate of 3.92 kg/s. The exhaust gases are ejected at 921 m/s relative to the aircraft. Find the thrust of the jet engine. Answer in units of N Find the delivered power. Answer in units of W.

Answer 1

Answer:

$F_T=60132.52N$

$P=15814852.76W$

Explanation:

From the question we are told that

Velocity of aircraft  $V=263m/s$

Engine air intake rate $\triangle M_a=85.9kg/s$

Fuel burn rate  $\triangle M_f =3.92kg/s$

Velocity of exhaust gas $V_e =921m/s$

Generally the Mass change rate of Rocket is mathematically given by

 $\triangle M = \triangle M_a+\triangle M_f$

 $\triangle M= 85.9+3.92$

 $\triangle M=89.82kg/s$

Generally the Trust of the rocket is given mathematically by

 $F_T=(\triangle M *V_e)-(dM_a/dt)*(V)$

 $F_T=(89.82 *921)-(85.9)*(263)$

 $F_T=60132.52N$

Generally the Rocket's delivered power is mathematically given by

Delivered power P

 $P=V*F_T$

 $P=263*60132.52N$

 $P=15814852.76W.$