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.

Question

contestada

Respuesta :

okpalawalter8 okpalawalter8 · Answer 1 · 2021-01-18T02:32:25+01:00

Answer:

[tex]F_T=60132.52N[/tex]

[tex]P=15814852.76W[/tex]

Explanation:

From the question we are told that

Velocity of aircraft [tex]V=263m/s[/tex]

Engine air intake rate [tex]\triangle M_a=85.9kg/s[/tex]

Fuel burn rate [tex]\triangle M_f =3.92kg/s[/tex]

Velocity of exhaust gas [tex]V_e =921m/s[/tex]

Generally the Mass change rate of Rocket is mathematically given by

[tex]\triangle M = \triangle M_a+\triangle M_f[/tex]

[tex]\triangle M= 85.9+3.92[/tex]

[tex]\triangle M=89.82kg/s[/tex]

Generally the Trust of the rocket is given mathematically by

[tex]F_T=(\triangle M *V_e)-(dM_a/dt)*(V)[/tex]

[tex]F_T=(89.82 *921)-(85.9)*(263)[/tex]

[tex]F_T=60132.52N[/tex]

Generally the Rocket's delivered power is mathematically given by

Delivered power P

[tex]P=V*F_T[/tex]

[tex]P=263*60132.52N[/tex]

[tex]P=15814852.76W.[/tex]