Calculating Turn Radius Change During Bank Angle Change

In summary: MacNeill - "In summary, the airspeed of an aircraft will affect the rate of change for its turn radius while the angle of bank is also changing. The connection between the derivatives of these two quantities remains approximately the same, but for higher airspeeds, the maximum rate of change for turn radius is expected to be higher due to the increased effectiveness of ailerons."
  • #1
Badmachine
13
0
Is there a standard formula for determing the rate of change for an aircraft turn radius, while the aircraft angle of bank (AoB) is also changing? (from 0 degrees AoB - 40 degrees AoB during a turn for example)

Would aircraft speed play a role in the rate of change for the trun radius under these conditions?

Thanks
 
Physics news on Phys.org
  • #2
Badmachine said:
Is there a standard formula for determing the rate of change for an aircraft turn radius, while the aircraft angle of bank (AoB) is also changing? (from 0 degrees AoB - 40 degrees AoB during a turn for example)

Would aircraft speed play a role in the rate of change for the trun radius under these conditions?

Thanks

If you know the turn radius for a given amont of bank (this clearly involves air speed), then you can easily find the connection between the derivatives of the two quantities. The airspeed will of course influence the relation between bank angle and turn radius. The connection between the derivatives would still be approximately the same.

A very nice book on flight is "Understanding Flight" by Anderson & Eberhardt.

EDIT: As a collorary of this, I would expect that for higher airspeed, the max. rate of change of turn radius would be higher than for low airspeeds. This is because at higher air speed, the airplane will be able to change its bank angle faster since the ailerons will be more effective.

Torquil
 

1. What is the formula for calculating turn radius change during bank angle change?

The formula for calculating turn radius change during bank angle change is: new turn radius = original turn radius * cosine(bank angle). This formula assumes a constant airspeed and altitude during the turn.

2. How does bank angle affect turn radius?

As the bank angle increases, the turn radius decreases. This is due to the centripetal force required to maintain a circular motion increasing as the bank angle increases.

3. What is the relationship between bank angle and turn radius?

The relationship between bank angle and turn radius is inverse. As the bank angle increases, the turn radius decreases, and vice versa.

4. Can the turn radius change during a turn without changing the bank angle?

Yes, the turn radius can change during a turn without changing the bank angle. This can happen if the airspeed or altitude changes, or if there are external factors such as wind or turbulence affecting the aircraft's flight path.

5. How does airspeed and altitude affect turn radius change during bank angle change?

Airspeed and altitude have a direct effect on turn radius change during bank angle change. If the airspeed increases or the altitude decreases, the turn radius will decrease. If the airspeed decreases or the altitude increases, the turn radius will increase.

Similar threads

  • Mechanics
Replies
6
Views
904
  • Classical Physics
Replies
16
Views
1K
Replies
7
Views
2K
Replies
3
Views
2K
Replies
3
Views
1K
Replies
7
Views
901
Replies
14
Views
923
Replies
8
Views
2K
  • Other Physics Topics
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
2K
Back
Top