A prototype pump is designed to so that the attached dimensionless performance curves apply. (a) If the pump is powered by a fixed speed motor delivering a rotational speed of 400 rpm and the impeller diameter is 2 m find the unknown quantities (Q, H, P,ŋ ). Assume the pump is operating a peak efficiency and is pumping cold water. (b) If the pump is to be connected to standard steel pipe, which pipe should be used. CH 1.00 0.75 Efficiency-n CH 3 0.50 0.25 0.04 0.08 0.12 0.16 Co C, and Efficiency

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Displacement (c): 0.2 in3/revShank diameter (d) = 0.625 in.Piston diameter (D) = 1.5 in.Rotation speed (n): 1725 RPMPressure (P): 600 PSIStroke (L) = 18in.   a) Calculate the theoretical flow rate of the pump in in3/min and US GPM.Theoretical flow (Q) = Theoretical displacement (C) x Speed of revolution (n)Theoretical flow (Q) = 0.2 in3/rev x 1725 rpmTheoretical flow (Q) = 345 in3/min = 1.49 US GPM b) Calculate the cylinder output speed in in/s.Cylinder output speed (VS) = Piston side flow (Q) / Piston area (Ap)Cylinder output speed (VS) = (Displacement x Speed of revolution) / Piston area (Ap)Cylinder output speed (VS) = (0.2 in3/rev x 1725 RPM) / 1.77 in2Cylinder output speed (VS) = (0.2 in3/rev x 1725 RPM) / 1.77 in2Cylinder output speed (VS) = 196.02in/s = 196.02 / 60s = 3.20 in/s Questions: c) Knowing the output velocity (ram speed), calculate the rod side flow in GPM when the ram is extending. d) Calculate the piston exit time in seconds. e) Calculate the piston entry time in…