Problem $2$: Pipeline Design You are designing a pump for a pipeline with a diameter of $50$ cm$.$ The fluid is crude oil $($p$=856$ kg$/$m$,$ u $=7\mathrm{.}2$x$10$ Ns$/$m$).$ The pump needs to increase the head by $35$ m of crude oil at a discharge of Q $=0\mathrm{.}45$ m$^2/$s$.$ Assume the pump efficiency is n $=80\%.$ At steady state, how much electricity will the pump consume? $[$W$]$