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An aircraft executes a horizontal loop a...

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 ?

Text Solution

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If N is the normal force on the wings,
`N cos theta = mg, N sin theta =(mv^(2))/R`
On simplification, `tan theta =v^(2)/(Rg)`
`R =v^(2)/(g tan theta) = (200 xx 200)/(10 xx tan 15^(@)) = 15 km`
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