A single-acting reciprocating pump has a plunger of 100 mm diameter and a stroke length of 200 mm. The center of the pump is 3 m above the water level in the sump and 20 m below the water level in a tank to which water is delivered by the pump. The diameter and length of the suction pipe are 50 mm and 5 m, while the diameter and length of the delivery pipe are 40 mm and 30 m, respectively. Determine the maximum speed at which the pump may be run without separation, if separation occurs at 7.3575 N/cm below the atmospheric pressure. Take atmospheric pressure head = 10.3 m of water.