Problem $8\mathrm{.}36$

Derive and plot the storage$-$indication curve for the system described in Problem $8\mathrm{.}30.$ Plot the storage$-$discharge relationship on the same figure. Assume $$t $=15$ minutes.

Problem $8\mathrm{.}30$

A surface$-$storage facility has a rectangular bottom $($L $=175$ ft$,$ W $=75$ ft$),$ with vertical ends $($i$.$e$.$ the length remains constant$)$ and the sides with slopes of $5$:$1($h:v$).$ The facility is used to control runoff from a residential area. Determine the stage$-$storage$-$discharge relationship assuming that outflow from the basin is controlled by a weir with a $6-$ft length and C $=3\mathrm{.}1.$ The weir invert is the same as the elevation of the bottom of the storage basin.