Problem $2$:

Water flows through an $800-m$ long horizontal pipe with diameter of $20-cm.$ The pipe is

made of cast iron and the rate of flow was measured to be $0\mathrm{.}35\frac{m^3}{s}.$

a$)$ Calculate the friction headloss in the pipe in meters using Darcy$-$Weisbach method.

Consider the pipe roughness to be $).($Kinematic viscosity of water

$($:$v=1\mathrm{.}00{10}^{-6}\frac{m^2}{s}$