$6\mathrm{.}11$ Water flows through a $0\mathrm{.}050$m diameter

pipe for which k $=0\mathrm{.}003$mm$.$ The mean velocity of

the flow is $0\mathrm{.}14$m$/$s and the viscosity of the water

is v $=1\mathrm{.}005$ x $10-6$m$2/$s$.($a$)$ Calculate $2$ using the

Moody equation. $($b$)$ Calculate the Reynolds rough$-$

ness coefficient. $($c$)$ Calculate the friction gradient,

Sr$,$ and hence the head loss per $100$m using the

Blasius, Hazen$-$Williams or Manning equation

according to the result of part $($b$).$

$[0\mathrm{.}034$; $0\mathrm{.}027$; $0\mathrm{.}071$ m$/100$m$]$