Part of the water supply for the South Rim of Grand Canyon National Park is taken from the Colorado River [54]. A flow rate of \(600 \mathrm{gpm}\) taken from the river at elevation \(3734 \mathrm{ft}\) is pumped to a storage tank atop the South Rim at \(7022 \mathrm{ft}\) elevation. Part of the pipeline is above ground and part is in a hole directionally drilled at angles up to \(70^{\circ}\) from the vertical; the total pipe length is approximately \(13,200 \mathrm{ft}\).

Under steady-flow operating conditions, the frictional head loss is \(290 \mathrm{ft}\) of water in addition to the static lift. Estimate the diameter of the commercial steel pipe in the system. Compute the pumping power requirement if the pump efficiency is 61 percent.