The statement 'For any given bank angle, the rate of turn varies with airspeed—the higher the speed, the slower the rate of turn' is:

The statement 'For any given bank angle, the rate of turn varies with airspeed—the higher the speed, the slower the rate of turn' is:

• A. False
• B. Only at High Bank
• C. Indeterminate
• D. True

Answer: (D)

The rate of turn in a coordinated level turn for a fixed bank angle is inversely related to airspeed. For a given bank angle, the turn radius grows with speed, so the aircraft sweeps through a larger circle and completes fewer degrees per second. A quick way to see this is with the relation R = V^2 / (g tan(phi)) for a level turn, where R is the turn radius, V is true airspeed, g is gravity, and phi is the bank angle. The rate of turn, ω, is V/R, which simplifies to ω = g tan(phi) / V. This shows directly that increasing V while holding phi constant reduces ω. So, as airspeed goes up, the same bank angle produces a slower rate of turn, and doubling the speed roughly halves the turn rate (for the same bank). This is independent of wind in the airspeed-based relation and relies on the physics of how lift provides the necessary centripetal force.

The rate of turn in a coordinated level turn for a fixed bank angle is inversely related to airspeed. For a given bank angle, the turn radius grows with speed, so the aircraft sweeps through a larger circle and completes fewer degrees per second.

A quick way to see this is with the relation R = V^2 / (g tan(phi)) for a level turn, where R is the turn radius, V is true airspeed, g is gravity, and phi is the bank angle. The rate of turn, ω, is V/R, which simplifies to ω = g tan(phi) / V. This shows directly that increasing V while holding phi constant reduces ω.

So, as airspeed goes up, the same bank angle produces a slower rate of turn, and doubling the speed roughly halves the turn rate (for the same bank). This is independent of wind in the airspeed-based relation and relies on the physics of how lift provides the necessary centripetal force.