Question

A jet aircraft is traveling at 214 m/s in hor-

izontal flight. The engine takes in air at a

rate of 115 kg/s and burns fuel at a rate of

2.53 kg/s. The exhaust gases are ejected at

276 m/s relative to the aircraft.

Find the thrust of the jet engine.

Answer in units of N.

Answer 1

The thrust is
`F = 7828.3 \  N`

Step-by-step explanation:

From the question we are told that

The speed of the jet aircraft is
`v = 214 \ m/s`

The rate at which the engine takes in air is
`\^ Q = 115 \ kg/s`

The rate at which the engine burns fuel is
`\r m = 2.53 \ kg/s`

The speed of the exhaust gases is
`u = 276 \ m/s`

Generally the thrust of the engine is mathematically represented as

`F =[ \^ Q * ( u - v )] + (\r m * u)`

=>
`F =[ 115 * ( 276  -  214 )]  + (2.53 * 276)`

=>
`F = 7828.3 \  N`