Air streams horizontally across an aeroplane wing of area 3m2 weighing 250 kg. The air speed is 60 m/s and 45 m/s over the top surface and under the bottom surface respectively. What is the lift on the wing ? (Density of air 1.293 g/l)

Air streams horizontally across an aeroplane wing of area 3m2 weighing 250 kg. The air speed is 60 m/s and 45 m/s over the top surface and under the bottom surface respectively. What is the lift on the wing ? (Density of air 1.293 g/l)

1. A

3000 N

2. B

3500N

3. C

4000 N

4. D

3054 N

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Solution:

$\begin{array}{l}\mathrm{A}=3{\mathrm{m}}^{2},\mathrm{m}=250\mathrm{kg}\\ \mathrm{\rho }=1.293\mathrm{g}/\mathrm{\ell }=1.293×\frac{{10}^{-3}}{{10}^{-3}}\mathrm{kg}/{\mathrm{m}}^{3}\\ {\mathrm{V}}_{1}=60\mathrm{m}/\mathrm{s},{\mathrm{V}}_{2}=45\mathrm{m}/\mathrm{s}\\ \mathrm{F}=\left({\mathrm{P}}_{2}-{\mathrm{P}}_{1}\right)\mathrm{A}=\frac{1}{2}\mathrm{\rho }\left({\mathrm{V}}_{1}^{2}-{\mathrm{V}}_{2}^{2}\right)×\mathrm{A}\\ =\frac{1.293}{2}\left[{60}^{2}-{45}^{2}\right]\left(3\right)=3054\mathrm{N}\end{array}$

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