Bank Angle (ϕ) in Terms of Rate of Roll Calculator

The bank angle ($\varphi$) is the angle between the longitudinal axis of an aircraft and the horizontal plane. It signifies the degree of roll or tilt of the aircraft. The bank angle ($\varphi$) in terms of the rate of roll ($p$) represents the angular displacement of an aircraft’s longitudinal axis from the horizontal plane due to a rotational motion around that axis. The formula to calculate Bank Angle (ϕ) in Terms of Rate of Roll as follows:

Where:

• $\varphi$ (bank angle) is typically measured in radians (rad).
• $p$ (rate of roll) is measured in radians per second (rad/s).
• $b$ (wingspan) is measured in meters (m).
• $V$ (true airspeed) is measured in meters per second (m/s).