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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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We are given :
`v= 720 kmh^(-1)= (720 xx 5)/(18)= 200 ms^(-1)`
Angle of banking `theta= 15^(@), r= ?`
We know that, `tantheta= (v^(2))/(rg)`
or `r= (v^(2))/(g tan theta)= ((200)^(2))/(10 xx tan15^(@))`
`:. r= (40000)/(10 xx 0.2679)= 14.9 xx 10^(3) = 15km`
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