# Banking angle and curvature radius of an airplane

• lu22
CIn summary, the problem is determining the minimum curvature radius for a plane flying at 950 km/h with a maximum banking angle of 40 degrees. The suggested equation is F=ma=mv^2/r, but it is unclear how the angle factors into the solution. Additionally, it is assumed that the air force on the plane does not change when it banks.
lu22

## Homework Statement

If a plane is flying level at 950 km/h and the banking angle is not to exceed 40 degrees what is the minimum curvature radius for the turn?

## Homework Equations

possibly F = ma = mv2 / r ?

## The Attempt at a Solution

no idea where to start on this one, not sure where the angle factors into everything

lu22 said:

## Homework Statement

If a plane is flying level at 950 km/h and the banking angle is not to exceed 40 degrees what is the minimum curvature radius for the turn?

## Homework Equations

possibly F = ma = mv2 / r ?

## The Attempt at a Solution

no idea where to start on this one, not sure where the angle factors into everything
Assume that the force of the air on the plane in the direction perpendicular to the wings does not change when the airplane banks.

AM

## 1. How do banking angle and curvature radius affect an airplane's flight?

Banking angle and curvature radius play a crucial role in an airplane's flight as they determine the amount of turn the airplane can make. A higher banking angle allows the airplane to make a sharper turn, while a larger curvature radius allows for a more gradual turn.

## 2. What is the ideal banking angle for an airplane?

The ideal banking angle for an airplane depends on the type of airplane and the desired turn. Generally, commercial airplanes use a banking angle of 25-30 degrees, while fighter jets can use a much higher banking angle of up to 90 degrees.

## 3. How is the banking angle of an airplane controlled?

The banking angle of an airplane is controlled by the ailerons, which are located on the trailing edge of the wings. When the pilot uses the control column to tilt the airplane to one side, the ailerons on that side will move up, while the ailerons on the other side will move down, creating a difference in lift and causing the airplane to bank.

## 4. How does the curvature radius of an airplane affect its speed?

The curvature radius of an airplane is directly related to its speed. A smaller curvature radius requires a higher speed to maintain lift, while a larger curvature radius requires a lower speed. This is why airplanes make wider turns at lower speeds and sharper turns at higher speeds.

## 5. How do external factors, such as wind, affect the banking angle and curvature radius of an airplane?

External factors, such as wind, can affect the banking angle and curvature radius of an airplane. Crosswinds can cause the airplane to drift and require a higher banking angle to maintain the desired turn, while headwinds can reduce the speed and require a lower curvature radius. Pilots must constantly adjust these factors to maintain control and ensure a safe flight.

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