$5\mathrm{.}31.$ A temporary RECP lining is being considered for a trapezoidal roadside channel with a bottom width of $0\mathrm{.}9m,$ side slopes of $3$:$1(H$:$V),$ and a longitudinal slope of $3\%.$ The channel is excavated in claycy sand $($SC classification$)$ with a plasticity inder of $16$ and a void ratio of $0\mathrm{.}5.$ The design flow rate in the channel is $0\mathrm{.}3\frac{m^3}{s}.$ Assess the adequacy of a lining for which the shear stress at $12\mathrm{.}5mm$ soil lows is $100Pa,$ and the roughness rating is as follow:

$\backslash$table$[[\backslash$table$[[$Applicd ahcar$],[(Pa)$