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an aircraft executes a horizontal loop at a speed...

Question:
An aircraft executes a horizontal loop at a speed of 720 km/h with its wings banked at 15°. What is the radius of the loop?

Answer:

Speed of the aircraft, v = 720 km/h = 720 x 5/18 =200 m/s

Acceleration due to gravity, g = 10 m/s²

Angle of banking, θ = 15°

For radius r, of the loop, we have the relation:

tanθ = v² / rg

r = v² / gtanθ

= 200 x 200 / 10 tan15

= 4000 / 0.268

= 14925.37 m

= 14.92 km

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Question:
An aircraft executes a horizontal loop at a speed of 720 km/h with its wings banked at 15°. What is the radius of the loop?

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Question: An aircraft executes a horizontal loop at a speed of 720 km/h with its wings banked at 15°. What is the radius of the loop?

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Question:
An aircraft executes a horizontal loop at a speed of 720 km/h with its wings banked at 15°. What is the radius of the loop?