Show me the steps to solve A rectangular channel curved in the vertical plane is $2\mathrm{.}0$ m wide and has a centreline radius of $5\mathrm{.}0$ m$.$ The velocity distribution at a radial section can be considered to be an irrota$-$ tional vortex, i$.$e$.$ v $=$ C$/$r$.$ The depth of flow is $1\mathrm{.}50$ m and is constant along the channel. For a discharge of $6\mathrm{.}0$ m$^2/$s$,$ find $($a$)$ the velocity distribution, $($b$)$ the average velocity, and $($c$)$ the correction factors a and $\backslash$beta $.$