Bank angle (θ) calculator

The bank angle is the angle between the aircraft’s longitudinal axis and the horizontal plane. It determines the rate at which the aircraft changes its heading during a turn. A bank angle results in a tighter turn, while a shallower bank angle results in a gentler turn. The formula to calculate the bank angle as follows:

Where:

• $\varphi$ is the bank angle, typically measured in radians (rad),
• ψ is the rate of turn, typically measured in radians per second (rad/s),
• $V$ is the velocity of the aircraft, typically measured in meters per second (m/s), and
• $g$ is the acceleration due to gravity, typically measured in meters per second squared (m/s²).