Water is to be pumped from a lake to a ranger station on the side of a mountain (see figure). The length of pipe immersed in the lake is negligible compared to the length from the lake surface to the discharge point. The flow rate is to be 105.0 gal/min, and the flow channel is a standard 1-inch. Schedule 40 steel pipe (ID = 1.049 inch). A pump capable of delivering 16 hp (= Ws) is available. The friction loss F (ft.lbf/Ibm) equals 0.0410 L, where L (ft) is the length of the pipe. Maximum Elevation Calculate the maximum elevation, z, of the ranger station above the lake if the pipe rises at an angle of a = 35. Z= i ft Submersing the Pipe Suppose the pipe inlet is immersed to a significantly greater depth below the surface of the lake, but it discharges at the elevation calculated in the previous part of the problem. The pressure at the pipe inlet would be greater than it was at the original immersion depth, which means that AP from inlet to outlet would be greater, which in turn suggests that more water could be pumped with the same power. In fact, however, less water can be pumped. Calculate the percentage decrease in flow rate caused by immersing the pipe inlet to a depth of 430 ft at the same angle (a = 359). i % Water is to be pumped from a lake to a ranger station on the side of a mountain (see figure). The length of pipe immersed in the lake is negligible compared to the length from the lake surface to the discharge point. The flow rate is to be 105.0 gal/min, and the flow channel is a standard 1-inch. Schedule 40 steel pipe (ID = 1.049 inch). A pump capable of delivering 16 hp (= Ws) is available. The friction loss F (ft.lbf/Ibm) equals 0.0410 L, where L (ft) is the length of the pipe. Maximum Elevation Calculate the maximum elevation, z, of the ranger station above the lake if the pipe rises at an angle of a = 35. Z= i ft Submersing the Pipe Suppose the pipe inlet is immersed to a significantly greater depth below the surface of the lake, but it discharges at the elevation calculated in the previous part of the problem. The pressure at the pipe inlet would be greater than it was at the original immersion depth, which means that AP from inlet to outlet would be greater, which in turn suggests that more water could be pumped with the same power. In fact, however, less water can be pumped. Calculate the percentage decrease in flow rate caused by immersing the pipe inlet to a depth of 430 ft at the same angle (a = 359). i %