Aircraft climbing upwards - When do they reach 3 km?

  • Thread starter speedy46
  • Start date
  • Tags
    Aircraft
In summary, to find the time taken for a jet aircraft to reach a height of 3km, you will need to resolve forces and use Newton's Second Law (F=ma) to find the vertical component of acceleration. Then, use the formula s=ut+0.5at^2 to solve for time, using the initial speed and height as given in the problem.
  • #1
speedy46
46
0

Homework Statement



A jet aircrft climbs in a straight line at an atitude of 60 degrees to the horizontal the jet thrust amounts to 90 kn the mass of the aircraft is 8 tonne and the average air resistance amounts to 11kN calculate the time taken to reach a height of 3km if the speed at the start of the climb is 160km/h.

Homework Equations





The Attempt at a Solution



Any one help with what equations I use
 
Physics news on Phys.org
  • #2
You're going to need to resolve forces, i recommend you use a diagram to help interpret it.

You have three forces you need to consider;

The propulsion force of the aircraft (the thrust).
The air resistance.
The weight.

The goal is to find the net force acting to move the aircraft upward, then using N2L ([tex]F=ma[/tex]) you can find the vertical component of acceleration for the aircraft.

If we know the acceleration, the speed at the start (remember to also resolve the speed into vertical and horizontal components) and the height:

[tex]s=ut+0.5at^2[/tex] and solve for t.
 

1. How long does it take for an aircraft to reach 3 km?

The time it takes for an aircraft to reach 3 km varies depending on the type of aircraft and the conditions of the flight. On average, it takes about 5-7 minutes for a commercial jet to reach 3 km.

2. What factors affect the rate at which an aircraft climbs to 3 km?

The rate at which an aircraft climbs to 3 km is affected by several factors, including the weight of the aircraft, the engine power, the air temperature and density, and the altitude of the airport. Weather conditions can also impact the climb rate.

3. How high above sea level is 3 km in terms of altitude?

3 km is equivalent to approximately 9,843 feet above sea level. This is often referred to as the cruising altitude for commercial aircraft.

4. Do different types of aircraft have different climb rates?

Yes, different types of aircraft have different climb rates based on their design, engine power, and weight. For example, a small propeller plane may have a slower climb rate compared to a large commercial jet.

5. Is there a specific speed at which an aircraft needs to climb to reach 3 km?

Yes, there is a specific speed known as the climb speed that an aircraft needs to maintain in order to reach 3 km. This speed varies depending on the type of aircraft, but it is usually around 250-300 knots for commercial jets.

Similar threads

  • Engineering and Comp Sci Homework Help
Replies
7
Views
2K
  • Other Physics Topics
Replies
6
Views
7K
  • Introductory Physics Homework Help
Replies
2
Views
3K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
4K
  • Introductory Physics Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
4K
  • Introductory Physics Homework Help
Replies
18
Views
2K
  • Sci-Fi Writing and World Building
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
15
Views
6K
Back
Top