Calculating Jet Engine Thrust for Cruising Speed

Chapter 6, Problem 34

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QUESTION:

A medium-sized jet has a 3.8-m-diameter fuselage and a loaded mass of 85,000 kg. The drag on an airplane is primarily due to the cylindrical fuselage, and aerodynamic shaping gives it a drag coefficient of 0.37. How much thrust must the jet's engines provide to cruise at 230 m/s at an altitude where the air density is 1.0 \(kg/m^3\)?

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QUESTION:

A medium-sized jet has a 3.8-m-diameter fuselage and a loaded mass of 85,000 kg. The drag on an airplane is primarily due to the cylindrical fuselage, and aerodynamic shaping gives it a drag coefficient of 0.37. How much thrust must the jet's engines provide to cruise at 230 m/s at an altitude where the air density is 1.0 \(kg/m^3\)?

ANSWER:

Step 1 of 2

There are four forces acting on a jet,

(1) Drag force: The force which provides the resistance to the motion of the jet.

(2) Thrust: The force with which the jet moves forward

(3) Gravitational force

(4) Lift force.

Given data:

Diameter of the fuselage: \(d=3.8 \ m\)

The radius of the fuselage: \(r=d / 2=1.9 \ \mathrm{~m}\)

Drag coefficient: \(C_{D}=0.37\)

Cruise velocity: \(v=230 \mathrm{~m} / \mathrm{s}\)

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Calculating Jet Engine Thrust for Cruising Speed
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Dive into the world of aviation as we calculate the thrust required for a medium-sized jet to maintain a cruising speed of 230 m/s at a specific altitude. Explore the impact of air density and drag coefficients on aircraft performance.


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