Pitch moment due to the rate of pitch calculator

The pitch moment due to the rate of pitch, often denoted as “Mq” in flight mechanics and aircraft dynamics, refers to the rotational force or moment around the aircraft’s lateral (pitch) axis resulting from changes in the rate of pitch (q).

  • Mq: This represents the pitch moment due to the rate of pitch (angular velocity about the lateral axis). It quantifies the rotational force or moment around the aircraft’s lateral axis resulting from changes in the rate of pitch (q).
  • Cmq: This is the aerodynamic coefficient related to the change in pitch moment (M) with respect to the rate of pitch (q). It quantifies how the aircraft’s pitch moment changes as the rate of pitch changes. It is dimensionless.
  • c: This typically represents the mean aerodynamic chord of the wing, which is an average chord length used in aerodynamic calculations. It is measured in meters (m).
  • Q: This term represents the dynamic pressure of the air. It is given by Q = 0.5 * ρ * V^2, where ρ is the air density and V is the true airspeed of the aircraft. Dynamic pressure is a measure of the kinetic energy of the air due to the aircraft’s motion through it
    • S: Typically, this represents the reference wing area, which is the wing’s planform area. It’s used to determine the wing’s aerodynamic properties and is typically measured in square meters (m²).
    • u0: This could represent the longitudinal velocity of the aircraft, often referred to as the “true airspeed” (TAS) or “airspeed.” It is measured in meters per second (m/s).
    • Iyy: This represents the moment of inertia of the aircraft about the pitch axis (the rolling moment of inertia). It quantifies the aircraft’s resistance to pitch motion and is typically measured in kilograms square meters (kg·m²).

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