$2\mathrm{.}2$ Case $2$: Gravel bottom Figure $3$ shows a schematic of the case and the distances to be used. Figure $3$: Schematic for the "gravel bottom" case. Data: Channel width: b$=0\mathrm{.}3[$m$].$ Channel slope: i$=1/100$ Flow rate Q$=12[$l$/$s$].$ Roughness n$=0\mathrm{.}026$ Develop: $2\mathrm{.}9$ Calculate the critical head. $2\mathrm{.}10$ Calculate the normal head. $2\mathrm{.}11$ Classify the runoff profile. $2\mathrm{.}12$ Determine a control point. $2\mathrm{.}13$ At the point x$=1[$m$],$ calculate the runoff head $($using the method of $2\mathrm{.}10$ Calculate the normal head. $2\mathrm{.}10$ Calculate the calculated distance from the depth$).2\mathrm{.}14$ Plot the runoff head as a function of distance x$,$ along the length of the channel. channel. $2\mathrm{.}15$ Comment, including data, on what happens to the hydraulic slope as the channel roughness changes $($using method $2\mathrm{.}12).$ change the chann$2\mathrm{.}12).$ roughness $($gravel bottom and steel bottom$)$