A centrifugal pump has outlet diameter 175 mm, outlet width 50 mm and outlet angle 29. The head characteristics are given by H = 43.5+ 258Q -3770 Q where Q is in m/s and H is in m. The mechanical efficiency of the pump is 0.96. The pump is used to deliver water through a pipe of diameter 300 mm, 800 m long, the static lift being 24.5 m. The friction factor f = 0.03. The speed is 2880 rpm. Do not neglect the velocity head. Determine C) Discharge ii) Power input to pump