Determine the power of the jet engine of an airplane

In summary, the jet engine of an airplane burns 4.3 kg of fuel per second while taking in 130 kg of air per second. The burned gases are expelled at a speed of 600 m/s relative to the plane. To determine the power delivered, the full version of Newton's second law should be used, where force equals the rate of change of momentum.
  • #1
Fisicks
85
0

Homework Statement


The jet engine of an airplane takes in 130 kg of air per second, which is burned with 4.3 kg of fuel per second. The burned gases leave the plane at a speed of 600 m/s (relative to the plane). If the plane is traveling 260 m/s, determine the power (hp) delivered.


Homework Equations


P=Fv
M(DV/DT)=F_ext + v_rel(DM/DT)



The Attempt at a Solution


dv/dt=0 so F=v_rel(DM/DT)
Thus W=v^2(DM/DT)=(600^2)(4.3) but this is incorrect and I do see where I am wrong.
 
Physics news on Phys.org
  • #2
Hi Fisicks! :smile:

You've used mdv/dt, which obviously doesn't work if m is not constant :redface:

(and dv/dt = 0, which I don't really understand)

start again, using the full version of good ol' Newton's second law …

force = rate of change of momentum :wink:
 

Related to Determine the power of the jet engine of an airplane

1. How is the power of a jet engine determined?

The power of a jet engine is determined by measuring the thrust it generates, which is the force that propels the airplane forward. This is usually measured in pounds or Newtons.

2. What factors affect the power of a jet engine?

The power of a jet engine is affected by several factors, including the amount of air entering the engine, the temperature and pressure of the air, and the design and efficiency of the engine's components.

3. How is the power of a jet engine measured?

The power of a jet engine is typically measured using a device called a dynamometer, which measures the force exerted by the engine's thrust. This measurement is then converted into units of power, such as horsepower or kilowatts.

4. How does the power of a jet engine impact an airplane's performance?

The power of a jet engine directly affects an airplane's performance, including its speed, acceleration, and ability to climb and maneuver. A more powerful engine can also allow an airplane to carry more weight and fly at higher altitudes.

5. How has the power of jet engines evolved over time?

The power of jet engines has significantly increased over time, with advancements in technology and materials allowing for more efficient and powerful engines. For example, the first jet engine, developed in the 1930s, had a power output of around 1,500 pounds of thrust, while modern jet engines can produce over 100,000 pounds of thrust.

Similar threads

  • Introductory Physics Homework Help
2
Replies
42
Views
3K
  • Aerospace Engineering
Replies
11
Views
3K
  • Introductory Physics Homework Help
Replies
1
Views
5K
  • Introductory Physics Homework Help
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
4K
  • Introductory Physics Homework Help
Replies
20
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
1K
Back
Top