The bank angle can be calculated using the formula:
Bank Angle = arctan (v^2 / (g*r))
Where v is the velocity of the airplane (50ms^-1), g is the acceleration due to gravity (9.8ms^-2), and r is the radius of the turn (300m).
Calculating the bank angle is important because it ensures that the airplane can safely complete the turn without losing altitude or experiencing excessive forces. It also helps to maintain a constant turn radius and prevents the airplane from stalling.
The bank angle for an airplane is affected by its airspeed, weight, turn radius, and air density. A heavier airplane or a smaller turn radius will require a higher bank angle to maintain the turn, while a slower airspeed or higher air density can allow for a lower bank angle.
Yes, the bank angle can change during the turn depending on the airplane's airspeed, weight, and turn radius. The pilot may need to adjust the bank angle to maintain a constant turn rate or to avoid exceeding the maximum bank angle limit for the specific airplane.
The bank angle directly affects the turning performance of an airplane. A higher bank angle will result in a tighter turn and a faster rate of turn, while a lower bank angle will result in a wider turn and a slower rate of turn. It is important for the pilot to maintain the appropriate bank angle in order to achieve the desired turning performance.