A screw conveyor $(8\mathrm{.}0$ in$.$ diameter$)$ is used to lift biomass feedstock from a holding pit to the top

of a storage hopper. The elevation difference is $75$ ft in the vertical direction. Assume the overall

efficiency of the conveyor drive and electric motor is $70\%.$ What size of electric motor $($kW$)$ is

required to drive the conveyor if the feedstock must be conveyed at a rate of $5\mathrm{.}0$ T$/$hr$.$