Water from a large tank (free surface) is used for irrigation and is pumped over a ridge through a 70cm diameter pipe, and a pressure of 190 kPa is maintained at the summit, where the pipe is 85m above the tank surface. The discharge is 1.50 m³/s with a head loss of 4.0 J/N between the tank and the summit. If the pump is 80% efficient, what is the input power furnished to the water?
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- Water from a reservoir is pumped to a higher elevation through a 450mmφ and a pressure of 250 kPa is maintained at the summit where the pipe is 110 m above the reservoir. The pipe discharges 1.56 m3/s and total losses due to friction is 8 m. What output power must be furnished to the water?Water from a reservoir is pumped over a hill through a 90cm diameter pipe, and a pressure of200kPa is maintained at the summit, where the pipe is 90m above the reservoir. The flow is1.40cu.m./s and the headloss of 3.0J/N between the reservoir and the summit. If the pump is90% efficient, what is the input power furnished to the water?22. A 350 mm pipeline 3000 m long runs on a constant grade between two reservoir of surface elevation 134 m and 129 m respectively. The flow rate through the lines is inadequate and a pump is installed to increase the capacity to 0.26 m3/s. Assuming f = 0.017 compute for the energy produce by the pump?
- Water is pumped 14.5 km from a reservoir at elevation 30 m to another reservoirat elevation 70 m. The steel pipeline connecting the reservoirs has a nominal diameter of 1400mm (the actual inside diameter is 1372 mm) with C = 90. If the flow is 1.18 m3/s, the pumpingefficiency is 82%, and electricity costs $0.14/kWh. Assuming that the density of water is 1000kg/m3, what will be the monthly power bill? Sketch the hydraulic and energy grade lines.Water is pumped at a flow rate of 15 m3/s from the lower reservoir through a pipe with a diameter of 1.50 m. How much power does the water need to be powered to produce this much flow?A tank in the shape of the frustum of a cone has a bottom radius of 0.75 m, top radius of 1.5 m and 2 m high. Find the work required in kN-m to pump the full content of the tank (water) to a point 1 m above the top.
- The water needs of a small farm are to be met by pumping water from a well that can supply water continuously at a rate of 5 L/s. The water level in the well is 20 m below the ground level, and water is to be pumped to a large tank on a hill, which is 58 m above the ground level of the well, using 6-cm internal diameter plastic pipes. The required length of piping is measured to be 510 m, and the total minor loss coefficient due to the use of elbows, vanes, etc. is estimated to be 12. Taking the efficiency of the pump to be 75 percent, determine the rated power of the pump that needs to be purchased, in kW. The density and viscosity of water at anticipated operation conditions are taken to be 1000 kg/m3 and 0.00131 kg/m⋅s, respectively. Is it wise to purchase a suitable pump that meets the total power requirements, or is it necessary to also pay particular attention to the large elevation head in this case? Explain.a cylindrical tank stands vertically on the top of the platform. an orifice is placed at the vertical side of the tank and located 3.2m above the ground. if the head of the water is 3.2 m above the center of the orifice, how long will the jet reach the ground?2. A turbine is to operate under a head of 25 m at 200 r.p.m. and discharge of 9 cumec. If the efficiency of the turbine is 90%, determine the speed and ouput under the head of 20 m.
- Reservoirs A and B have elevations 250 m and 100 m, respectively, and are connected by a pipe having a diameter of 250 mm and a length of 250 m. A turbine is installed at a point in between reservoirs A and B. The discharge in the pipeline is 140 L/s. If the head loss in the pipe due to friction is 8.55 m, which of the following most nearly gives the power generated by the turbine?The reservoir's water flow traverses a 15-meter-long spillway, lowering the water's height from 83 meters to 81.5 meters, with the crest elevation at 80 meters, in 30 minutes. Apply C = 1.84. A) What is the reservoir's area?B) How long does it take to extract water from an elevation of 83 m/80.2 m? C) After 20 minutes, what is the water's ultimate elevation?5. Water is pumped 14.5 km from a reservoir at elevation 30 m to another reservoir at elevation 70 m. The steel pipeline connecting the reservoirs has a nominal diameter of 1400 mm (the actual inside diameter is 1372 mm) with C = 90. If the flow is 1.18 m3/s, the pumping efficiency is 82%, and electricity costs $0.14/kWh. Assuming that the density of water is 1000 kg/m3, what will be the monthly power bill? Sketch the hydraulic and energy grade lines.