Question:
An aircraft executes a horizontal loop at a speed of 720km/hr with its wings banked at 150 . What is the radius of the loop
Answer:
Speed of the aircraft, v = 720 km/h = 720 × 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:
tan θ = v2 / rg
r = v2 / g tan θ
= 2002 / (10 × tan 15)
= 4000 / 0.26
= 14925.37 m
= 14.92 km
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