Consider two-dimensional turbulent flow of air over a horizontal flat plate of length $1 \mathrm{~m}$. Skin friction coefficient at a length $x$ from the leading edge of the plate is obtained as:
\[
c_{f}=\frac{0.06}{\left(\operatorname{Re}_{x}\right)^{0.2}}
\]
where, $\mathrm{Re}_{x}$ is the local Reynolds number.
Find out the drag force per unit width in $N / m^{2}$ on the plate if the free stream air velocity is $10 \mathrm{~m} / \mathrm{s}$.
Density and dynamic viscosity of air are given as $1.2 \mathrm{~kg} / \mathrm{m}^{3}$ and $1.83 \times 10^{-5} \mathrm{~N}-\mathrm{s} / \mathrm{m}^{2}$, respectively.
$\text{(Round off to three decimal places)}$
