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Byju's Answer

Standard XII

Physics

Centripetal Force

A plane banks...

Question

A plane banks its wings $30^{o}$ relative to the horizontal to enter into a circular turn. The circular path has a radius of $1500 m$ .
Which of these values best represents the velocity of the plane if the lift force exerted on the wings is equal to twice the weight of the plane?

120 m / s

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140 m / s

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160 m / s

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240 m / s

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320 m / s

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Solution

The correct option is E $160 m / s$
In the flight of a plane the angle of banking with vertical is given by ,
$tan θ = v^{2} / r g$
given $θ = 90 - 30 = 60^{o}, r = 1500 m$
therefore $v^{2} = r g tan 60$
or $v^{2} = 1500 \times 9.8 \times \sqrt{3} = 25460.4$
or $v = 160 m / s$

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A plane banks its wings 30o relative to the horizontal to enter into a circular turn. The circular path has a radius of 1500m.Which of these values best represents the velocity of the plane if the lift force exerted on the wings is equal to twice the weight of the plane?

The correct option is E 160m/sIn the flight of a plane the angle of banking with vertical is given by , tanθ=v2/rggiven θ=90−30=60o,r=1500mtherefore v2=rgtan60or v2=1500×9.8×√3=25460.4or v=160m/s

A plane banks its wings $30^{o}$ relative to the horizontal to enter into a circular turn. The circular path has a radius of $1500 m$ .
Which of these values best represents the velocity of the plane if the lift force exerted on the wings is equal to twice the weight of the plane?

The correct option is E $160 m / s$
In the flight of a plane the angle of banking with vertical is given by ,
$tan θ = v^{2} / r g$
given $θ = 90 - 30 = 60^{o}, r = 1500 m$
therefore $v^{2} = r g tan 60$
or $v^{2} = 1500 \times 9.8 \times \sqrt{3} = 25460.4$
or $v = 160 m / s$