A rectangular channel carries $6\frac{m^3}{s}.$ Find the

critical depth and critical velocity

a$)$ a width of $3\mathrm{.}66m$

b$)$ a width of $2\mathrm{.}74m$

c$)$ what slope will produce the critical velocity in $($a$)$ if

$n=0\mathrm{.}02$

A trapezoidal channel with side slopes of $2$ horizontal

to $1$ vertical is to carry a flow of $17\mathrm{.}2\frac{m^3}{s}.$ For a bottom

width of $3\mathrm{.}66m,$ calculate

a$)$ the critical depth

b$)$ the critical velocity