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

Solution

Given,
$tanθ equals fraction numerator v squared over denominator r g end fraction$
∴ $r equals fraction numerator v squared over denominator g space tan theta end fraction$
We have,
Velocity of the aircraft, v = 720 km/hr = 200 m/s
$Angle space of space banking comma space straight theta equals 15 degree$
∴ Radius of the loop, $r equals fraction numerator v squared over denominator g space tan theta end fraction equals fraction numerator left parenthesis 200 right parenthesis squared over denominator 9.8 space tan space 15 end fraction$
= 15232.86 m
= 15.23 km

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Laws Of Motion

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

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