Air is streaming past a horizontal air plane wing such that its speed is

Discussion Forum : Mechanical Properties Of Fluids

Question -

Air is streaming past a horizontal air plane wing such that its speed is 120m/s over the upper surface and 90 m/s at the lower surface. If the density of air is 1.3 kg per $m e t r e^{3}$ 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 is

Options:

A . 4095.0 Pascal

B . 409.50 Pascal

C . 40.950 Pascal

D . 4.0950 Pascal

Answer: Option A
:
A

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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