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In a steep turn, the airplane's TURN RADIUS is determined by
Choices
bank angle alone.
Bank alone — speed dramatically affects radius.
✓ true airspeed and bank angle.correct
Turn radius is set by true airspeed and bank angle: radius = TAS² / (g × tan(bank)). At constant TAS, steeper bank = tighter radius. At constant bank, faster TAS = larger radius. Turn radius formula: r = V² / (g × tan(φ)) where V is TAS, g is gravity, φ is bank angle. Doubling speed quadruples radius (squared). Doubling bank's tangent halves radius. This is why high-speed jets need huge radii and why steep banks tighten the turn dramatically. Useful for collision avoidance and pattern planning.
the airplane's weight only.
Weight cancels out in the turn radius formula.
altitude.
Altitude doesn't directly factor.
Why
Turn radius is set by true airspeed and bank angle: radius = TAS² / (g × tan(bank)). At constant TAS, steeper bank = tighter radius. At constant bank, faster TAS = larger radius. Turn radius formula: r = V² / (g × tan(φ)) where V is TAS, g is gravity, φ is bank angle. Doubling speed quadruples radius (squared). Doubling bank's tangent halves radius. This is why high-speed jets need huge radii and why steep banks tighten the turn dramatically. Useful for collision avoidance and pattern planning.
FAA source: PHAK Ch 5; PHAK Chapter 5 — Aerodynamics of Flightbrowse the reference library →
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Original study question written for this course — representative of FAA knowledge-test topics, not an actual current FAA exam question. Reviewed by a panel of three CFIs + AI review.