Problem 3. Performance data for a pump are given in the table below. From a curve fit to the data, the pump curve is given by H, = H, – C, Q² whereHo = 180 ft and C, = 1.524 × 10-6 ft/gpm?. This pump is used to move water at STP between two open reservoirs with an elevation increase of Az = 50 ft through a commercial steel pipe of length L = 1200 ft and diameter D = 1.0 ft that contains two 90° elbows (equivalent length of 30 diameters) and an open gate valve (equivalent length of 8 diameters). The flow entrance and exit for the reservoirs are abrupt. (a) Plot the pump curve and system curve on the same figure. (b) Calculate the flowrate with the gate valve open. (c) Calculate the equivalent length for the gate valve in order to reduce the flowrate by half. NOTE: Your calculations for this problem will require iteration because the friction factor for this case does depend on Q. Thus, it is recommended you use either EES (see solution for Example 19 from lecture) or Excel to get converged values. Q (gpm) Н, (ft) 500 1000 1500 2000 2500 3000 179 176 165 145 119 84 43

For Questions 3 to 5 A certain centrifugal pump was tested and its performance curves can be approximated as follows: H = 340 - 1.2(Q^2), in feet BP = (0.0521Q^3) + (1.250^2)+(11.042Q) + 134.5, in horsepower where Q is in ft^3/s. Question 3 If a single pump is used to deliver water of a system which requires a total of 8 ft^3/s, what is the efficiency of the pump (in %)? Take the specific weight of water to be 62.4 lbf/ft^3. Round your answer to 2 decimal places.

A hydraulic motor has 7.5-in³ volumetric displacement. If it has a pressure rating of 1200 psi and receives oil from a 25-gpm theoretical flow-rate pump, find the motor a. Speed b. Theoretical torque C. Theoretical horsepower