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21 February, 12:25

A jet aircraft is traveling at 291 m / s in horizontal flight. The engine takes in air at a rate of 63.8 kg/s and burns fuel at a rate of 1.21 kg/s. The exhaust gases are ejected at 667 m/s relative to the aircraft. Find the thrust of the jet engine and the delivered power.

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  1. 21 February, 15:11
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    thrust = 24795.87 N

    Power = 7.215 MW

    Explanation:

    given data

    The speed of the jet v = 291 m/s

    The air intake is dMa/dt = 63.8 kg/s

    The fuel burn rate is dMf/dt = 1.21 kg/s

    The speed of the exhaust gas is u = 667 m/s

    to find out

    thrust of the jet engine and the delivered power

    solution

    first we get here rate of mass change in the rocket that is

    rate of mass change dM/dt = 63.8 + 1.21

    rate of mass change dM/dt = 65.01 kg/s

    and

    The thrust on the rocket will be here

    thrust T = (dM/dt) u - (dMa/dt) v ... 1

    thrust T = (65.01) 667 - (63.8) 291

    thrust T = 24795.87 N

    and

    now the power of the rocket will be here

    Power = speed * thrust ... 2

    Power = 291 * 24795.87

    Power = 7.215 MW
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