First slide

Fluid dynamics

Question

Air is streaming past a horizontal air plane wing such that its speed in 120 m/s over the upper surface and 90 m/s at the lower surface. If the density of air is 1.3 kg per metre³ 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

Moderate

A

4095.0 Pascal
B

409.50 Pascal
C

40.950 Pascal
D

4.0950 Pascal

Solution

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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