Air is streaming past a horizontal airplane wing such that its speed is $120$ over the upper surface and $90 m / s$ at the lower surface. If the density of air is $1.3 k g / m^{3}$ and the wing is 10 m long and has an average width of 2 m, then the difference of the pressure on the two sides of the wing of

4095.0 Pascal

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409.50 Pascal

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40.950 Pascal

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4.0950 Pascal

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Solution

The correct options are
A 4095.0 Pascal
C 40.950 Pascal
Given,

Velocity $v_{2}$ = $120$ , Velocity $v_{1}$ = $90 m / s$

Density of air = $1.3 k g / m^{3}$

From the Bernoulli's theorem
$P_{1} - P_{2} = \frac{1}{2} ρ (v_{2}^{2} - v_{1}^{2}) = \frac{1}{2} \times 1.3 \times [(120)^{2} - (90)^{2}]$
= $4095 N / m^{2}$ or Pascal

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