$8\mathrm{.}71$ In Problem $6\mathrm{.}107,$ a theoretical flow rate of water to a village was calculated without any consideration of line losses. In problem $7\mathrm{.}50,$ an assumed value of $2\mathrm{.}8m$ was

included as an estimate for losses in the line and the resulting flow rate was only $6\mathrm{.}22{10}^{-4}\frac{m^3}{s}.$ Now rework the problem and determine the actual losses that would

occur. Use $25C$ water running in a flexible smooth tube that is $1200m$ long and has the same $20-mm$ diameter. Let's check the assumed value for losses now. Using a flow

rate of $6\mathrm{.}22{10}^{-4}\frac{m^3}{s},$ what would be the actual losses? What conclusions can we draw about the original proposal to install this line? Why is the calculation of losses so

important? $($Use Darcy's Equation$)$