Mechanical Properties Of Fluids Question 1
Question 1 - 2024 (01 Feb Shift 1)
A plane is in level flight at constant speed and each of its two wings has an area of $40 m^{2}$. If the speed of the air is $180 km / h$ over the lower wing surface and $252 km / h$ over the upper wing surface, the mass of the plane is kg. (Take air density to be $1 kg m^{-3}$ and $g=10 ms^{-2}$ )
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Answer: (9600)
Solution:
$A=80 m^{2}$
Using Bernonlli equation
$A\left(P _2-P _1\right)=\frac{1}{2} \rho\left(V _1^{2}-V _2^{2}\right) A$
$mg=\frac{1}{2} \times 1\left(70^{2}-50^{2}\right) \times 80$
$mg=40 \times 2400$
$m=9600 kg$
