Consider the incompressible fluid flow over a flat plate with a free stream velocity, $U_{\infty}=1 \mathrm{~m} / \mathrm{s}$. The fluid kinematic viscosity is $10^{-6} \mathrm{~m}^{2} / \mathrm{s}$ and density is $1 \mathrm{~kg} / \mathrm{m}^{3}$. The velocity profile within the boundary layer at any location $x$ is given by $u(y)=U_{\infty}\left(\frac{3}{2} \frac{y}{\delta}-\frac{1}{2} \frac{y^{2}}{\delta^{2}}\right)$, where boundary layer thickness, $\delta=\frac{4.64 x}{\sqrt{R e_{x}}}$. The local wall shear stress at $x=1 \mathrm{~m}$ from the leading edge is ___________ $\times 10^{-3} \mathrm{~N} / \mathrm{m}^{2}$ $\text{(rounded off to two decimal places)}$.
