Given the extended darcy-weisbach eq. for an open channel g v r l h f h l major 4 2 2 , = where f – friction factor, l – pipe length, rh – hydraulic radius, g – gravity, v—average cross section velocity. derive chezy eq. as follow q = ca rh s and determine c. in the equation, q is flow rate, and s is the channel bottom slope. you will score only if you do the derivation step by step, correctly in logic, and clearly state your assumption, if any (10 pts).