$(3$ Marks$)$ Water at $20$C

$($p$=998$ kg$/$m$^3,$ mu$=1\mathrm{.}3{10}^{-3}Pa*s)$ is flowing steadily in a horizontal $12cm$ diameter pipe of $600m$ length at a velocity of $2\mathrm{.}2\frac{m}{s}.$ The pipe is made of steel $($roughness $=0\mathrm{.}097mm).$ Determine the pressure drop, the head loss, and the pumping power required to overcome this pressure drop.

$\frac{P_1}{g}+{}_1\frac{V_1^2}{2g}+z_1+h_{\text{p}\text{u}\text{m}\text{p}\text{,}u}=\frac{P_2}{g}+{}_2\frac{V_2^2}{2g}+z_2+h_{\text{t}\text{u}\text{r}\text{b}\text{i}\text{n}\text{e},e}+h_L$