$6\mathrm{.}10$ Water $($viscosity $71\mathrm{.}005$ X$005$ x $10-6$m$^2/$s$)$ flowsthrough a $0\mathrm{.}4$m diameter pipeline with a meanvelocity JO $3\mathrm{.}49$m$/$s$.$ The surface roughness of thepipe, k $=0\mathrm{.}60$mm$.($a$)$ Calculate using theMoody approximation $($equation $(6\mathrm{.}20)).($b$)$ Calcu$-$late $1$ using the Colebrook$-$White equation $(6\mathrm{.}18).($c$)$ Using the Darcy equation $(6\mathrm{.}12)$ with the valueof from part $($b$),$ calculate the head loss causedby friction per $100$m length of pipe. $($d$)$ UsingFig. $6\mathrm{.}15$ find the hydraulic gradient $($friction loss$)$per $100$m$.[($a$)0\mathrm{.}0227,($b$)0\mathrm{.}02188$; $($c$)3\mathrm{.}396$m; $($d$)3\mathrm{.}5$m$)$