A plane travelling at $300 m / s$ banks its wings to enter into a horizontal circular turn. The circular path has a radius of $2.7 k m$ .
Which of these values best represents the angle of the wings relative to the horizontal if the plane experiences no change in its altitude during the turn?

8^{o}

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16^{o}

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20^{o}

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25^{o}

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32^{o}

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Solution

The correct option is B $16^{o}$
In the flight of a plane the angle of banking with vertical is given by ,
$tan θ = v^{2} / r g$
given $v = 300 m / s, r = 2.7 k m = 2700 m$
therefore $tan θ = \frac{300^{2}}{2700 \times 9.8} = 3.4$
or $tan θ = tan 74$
or $θ = 74^{o}$
so the angle with horizontal will be , $θ^{'} = 90 - 74 = 16^{o}$

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A plane travelling at 300m/s banks its wings to enter into a horizontal circular turn. The circular path has a radius of 2.7km.Which of these values best represents the angle of the wings relative to the horizontal if the plane experiences no change in its altitude during the turn?

The correct option is B 16oIn the flight of a plane the angle of banking with vertical is given by , tanθ=v2/rggiven v=300m/s,r=2.7km=2700mtherefore tanθ=30022700×9.8=3.4or tanθ=tan74 or θ=74oso the angle with horizontal will be , θ′=90−74=16o

A plane travelling at $300 m / s$ banks its wings to enter into a horizontal circular turn. The circular path has a radius of $2.7 k m$ .
Which of these values best represents the angle of the wings relative to the horizontal if the plane experiences no change in its altitude during the turn?