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

`F_T=60132.52N`

`P=15814852.76W`

Step-by-step 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.`