A double-acting reciprocating pump, running at 100 RPM delivers 0.03 m^3
/sec of water. The diameter of the piston and the stroke length is 15 cm and 600 mm, respectively. Further, the diameter of the piston rod is 1 cm with a pump efficiency is 95 %. The pump has to deliver the water to a head of 50 m. Determine theoretical discharge, coefficient of discharge, power input, and % slip.