Problem $2(5$ marks$)$: A swimming pool is being emptied with a $7$ cm diameter plastic hose $($Figure $2).$ The hose is $12$ m long and the volume flow rate of water from the hose is $\backslash (0\mathrm{.}0077\backslash$mathrm$\{$~m$\}^\{3\}\backslash$mathrm$\{$~s$\}^\{-1\}\backslash ).$ What is the friction factor $\backslash ($ f $\backslash )$ and the equivalent roughness $\backslash (\backslash$varepsilon$(\backslash$mathrm$\{$m$\})\backslash ).$ The tube consists of a return bend and an elbow, assuming that these are equivalent to minor losses at flange fittings$).$

Figure $2$: Hose transporting water from a swimming pool to a vacuum pump.