A jet aircraft is traveling at 201 m/s in horizontal flight. The engine takes in air at a rate of 44.1 kg/s and burns fuel at a rate of 3.28 kg/s. The exhaust gases are ejected at 669 m/s relative to the aircraft. Find the thrust of the jet engine. Answer in units of N.

Respuesta :

Answer:22,833.12 N

Explanation:

Given

Velocity of Jet [tex]v=201 m/s[/tex]

Velocity of Exhaust gases [tex]u=669 m/s[/tex]

Rate of intake of air [tex]\frac{\mathrm{d} M_a}{\mathrm{d} t}=44.1 kg/s[/tex]

Rate at which Fuel is burned is [tex]\frac{\mathrm{d} M_f}{\mathrm{d} t}=3.28 kg/s[/tex]

Rate of change of mass in Rocket [tex]\frac{\mathrm{d} M}{\mathrm{d} t}=\frac{\mathrm{d} M_a}{\mathrm{d} t}+\frac{\mathrm{d} M_f}{\mathrm{d} t}=44.1+3.28=47.38 kg/s[/tex]

Thrust on Rocket is given by

[tex]F=\frac{\mathrm{d} M}{\mathrm{d} t}u-\frac{\mathrm{d} M_a}{\mathrm{d} t}v[/tex]

[tex]F=47.38\times 669-44.1\times 201[/tex]

[tex]F=31,697.22-8864.1=22,833.12 N[/tex]

Answer:

Find the delivered power.

Answer in units of W.

Explanation: