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Physics

Fluid-Mechanics

Easy

Question

The lift force acting on the wing of an aeroplane is 2275 N. If area of the wing is 5m² and velocity of air on the lower surface of the wing is $30 m s to the power of negative 1 end exponent$ , velocity of air on the upper surface of the wing is (density of air is $1.3 K g m to the power of negative 3 end exponent$ )

$20 m s^{- 1}$
$25 m s^{- 1}$
$35 m s^{- 1}$
$40 m s^{- 1}$

The correct answer is: $40 m s to the power of negative 1 end exponent$

Force acting on the wing, $F equals 2275 space N$
Area of the wing, $A equals 5 m squared$
Velocity of the air at the lower surface of the wing, $v subscript 2 equals 30 m s to the power of negative 1 end exponent$
Density of air,
$table attributes columnalign left end attributes row cell v subscript 1 superscript 2 minus v subscript 2 superscript 2 equals fraction numerator 2 F over denominator d end fraction rightwards double arrow v subscript 1 superscript 2 equals fraction numerator 2 F over denominator d A end fraction plus v subscript 2 superscript 2 equals fraction numerator 2 cross times 2275 over denominator 1 times 3 cross times 5 end fraction plus left parenthesis 30 right parenthesis squared end cell row cell v subscript 1 superscript 2 equals 1600 rightwards double arrow v subscript 1 equals 40 m s to the power of negative 1 end exponent end cell end table$

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