To increase the rate of turn and at the same time decrease the radius, a pilot should do which of the following?

Prepare for the Airplanes and Aerodynamics Commercial Pilot Test. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

To increase the rate of turn and at the same time decrease the radius, a pilot should do which of the following?

Explanation:
To increase the rate of turn while also reducing the radius, you want to influence both the bank angle and the airspeed. In a coordinated level turn, the radius of the turn is R = V^2 / (g tan φ) and the rate of turn is ω = g tan φ / V. Elevating the bank angle raises tan φ, which increases the turn rate and reduces the radius. Lowering airspeed also increases the turn rate (since ω grows as 1/V) and further reduces the radius because R depends on V^2. So, increasing bank and decreasing airspeed makes the turn tighter and faster at the same time. Decreasing bank or increasing airspeed would do the opposite, widening the turn or slowing it down.

To increase the rate of turn while also reducing the radius, you want to influence both the bank angle and the airspeed. In a coordinated level turn, the radius of the turn is R = V^2 / (g tan φ) and the rate of turn is ω = g tan φ / V. Elevating the bank angle raises tan φ, which increases the turn rate and reduces the radius. Lowering airspeed also increases the turn rate (since ω grows as 1/V) and further reduces the radius because R depends on V^2.

So, increasing bank and decreasing airspeed makes the turn tighter and faster at the same time. Decreasing bank or increasing airspeed would do the opposite, widening the turn or slowing it down.

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