H. Blasius correlated data on turbulent friction factor in smooth pipes. His equation \(f_{\text {smooth }} \approx 0.3164 \mathrm{Re}^{-1 / 4}\) is reasonably accurate for Reynolds numbers between 4000 and \(10^{5}\). Use this information for the following scenario. Water at \(20{ }^{\circ} \mathrm{C}\) is to flow through a \(3-\mathrm{cm}\) I.D. plastic pipe at the rate of \(0.001 \mathrm{~m}^{3} / \mathrm{s}\). Find the incline angle of the pipe needed to make the static pressure constant along the pipe.