The figure below shows the configuration of the center (tail-mounted) jet engine on an airliner. The airliner is cruising at altitude, and the velocities shown are relative to an observer on board. At this condition mfuel = 4 kg/s and p₁ = Pamb = 30 kPa. D₁ = 1.0 m V₁ = 250 m/s P₁ = 0.4 kg/m³ P1 = Pamb mtuel Engine F = thrust force of engine on plane D₂ = 0.75 m P2 = 0.44 kg/m³ P₂ = 63 kPa (nozzle exit only) Calculate the thrust force that the engine exerts on the airplane. F = i KN

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The figure illustrates the configuration of a center (tail-mounted) jet engine on an airliner. The airliner is cruising at altitude, and the velocities shown are relative to an observer on board. Under these conditions, the fuel mass flow rate (\( \dot{m}_{fuel} \)) is 4 kg/s, and the pressure at the inlet (\( p_1 \)) equals the ambient pressure (\( p_{amb} \)) of 30 kPa.

Details in the diagram:
- Diameter at the inlet (\( D_1 \)): 1.0 m
- Velocity at the inlet (\( V_1 \)): 250 m/s
- Density at the inlet (\( \rho_1 \)): 0.4 kg/m\(^3\)

- Diameter at the nozzle exit (\( D_2 \)): 0.75 m
- Density at the nozzle exit (\( \rho_2 \)): 0.44 kg/m\(^3\)
- Pressure at the nozzle exit (\( p_2 \)): 63 kPa (nozzle exit only)

The engine exerts a thrust force (\( F \)) on the plane.

Students are tasked with calculating the thrust force exerted by the engine under the provided conditions. The answer should be calculated in kilonewtons (kN) and entered in the provided space.
Transcribed Image Text:The figure illustrates the configuration of a center (tail-mounted) jet engine on an airliner. The airliner is cruising at altitude, and the velocities shown are relative to an observer on board. Under these conditions, the fuel mass flow rate (\( \dot{m}_{fuel} \)) is 4 kg/s, and the pressure at the inlet (\( p_1 \)) equals the ambient pressure (\( p_{amb} \)) of 30 kPa. Details in the diagram: - Diameter at the inlet (\( D_1 \)): 1.0 m - Velocity at the inlet (\( V_1 \)): 250 m/s - Density at the inlet (\( \rho_1 \)): 0.4 kg/m\(^3\) - Diameter at the nozzle exit (\( D_2 \)): 0.75 m - Density at the nozzle exit (\( \rho_2 \)): 0.44 kg/m\(^3\) - Pressure at the nozzle exit (\( p_2 \)): 63 kPa (nozzle exit only) The engine exerts a thrust force (\( F \)) on the plane. Students are tasked with calculating the thrust force exerted by the engine under the provided conditions. The answer should be calculated in kilonewtons (kN) and entered in the provided space.
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