Jet fighter flying in a vertical loop

In summary, a jet fighter is flying in a vertical circle with a diameter of 1000 m and a speed of 185 m/s at the bottom of the circle. To calculate the apparent weight at this point, the equations used are Fc = mv^2/r, Ac = v^2/r, and Fn = Fg + Fc. However, without knowing the mass of the aircraft, it is impossible to calculate the apparent weight. However, the number of g's and a multiplying factor, A, can be calculated to determine the apparent weight. It is recommended to draw a diagram to better understand and solve the problem.
  • #1
jstretto

Homework Statement


A jet fighter flies in a vertical circle of diameter 1000 m. The speed of the aeroplane at the bottom of this circle is 185 m s-1. For the aeroplane at this point, calculate:
Apparent weight

Homework Equations



Fc = mv^2/r
Ac = v^2/r
Fn = Fg + Fc

The Attempt at a Solution



I cannot find a single way to find the apparent weight of something without mass, it is doing my head in. I have scowered the internet and nothing. Please help me!
 
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  • #2
What if you were to let M be the mass of the aircraft? What would you get? Can you work out the acceleration components?
 
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  • #3
I agree with you. Unless you are given the mass, you can not calculate the "apparent weight". However, you can calculate the number of g's and you can calculate a multiplying factor, A, of whatever the weight is: apparentWeight= A*airplaneMass.
 
  • #4
@jstretto : This problem does have a solution . You would find it much easier to understand the problem and get to the solution if you drew a simple diagram .
 

1. How is a jet fighter able to fly in a vertical loop?

A jet fighter is able to fly in a vertical loop due to its powerful engines and aerodynamic design. The engines provide enough thrust to maintain speed and lift, while the design of the wings and body allow for efficient maneuvering and control.

2. What are the risks of flying in a vertical loop in a jet fighter?

Flying in a vertical loop in a jet fighter can put a lot of strain on the aircraft and pilot. The high speeds and G-forces can cause structural damage to the plane and physical harm to the pilot, such as loss of consciousness. It is important for pilots to undergo rigorous training and have proper safety equipment to minimize these risks.

3. How long does it take for a jet fighter to complete a vertical loop?

The time it takes for a jet fighter to complete a vertical loop depends on various factors such as the speed and agility of the aircraft, the skill of the pilot, and the size of the loop. On average, it can take anywhere from 10-20 seconds to complete a vertical loop.

4. Can any jet fighter perform a vertical loop?

Not all jet fighters are designed to perform vertical loops. Some may not have enough power or structural strength to safely execute this maneuver. However, most modern military jet fighters are capable of flying in a vertical loop.

5. What is the purpose of performing a vertical loop in a jet fighter?

Performing a vertical loop in a jet fighter is a common aerial maneuver used in air shows and military training exercises. It showcases the agility and capabilities of the aircraft and allows pilots to practice their skills in high-G environments. In combat situations, a vertical loop can also be used as a defensive tactic to evade enemy fire.

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