2. A hydraulic turbine receives water from a reservoir at an elevation of 100 m above it. What is the minimum water flow in kg/s to produce a steady water power of 50MW?
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- Motor- pump combo: An electric motor converts electricity to rotating shaft work with an efficiency of 42%. The rotating shaft turns the impeller in the pump which, in turn, increases the pressure of the water by 300kPa. If the motor is consuming 3.8 kW of electricity, and water flow through the pump is 4.18 Liter/sec, what is the mechanical efficiency with which the pump converts the rotation of the impeller into water pressure?Water flowing at 0.5 m³/min enters the turbine of a micro hydroelectric generator and delivers a shaft work of W₁ = 2,500 J/kg. What is the power delivered by the generator if it works at 95% efficiency, n = 0.95?A mini hydro power station takes in 3 cubic meters per second of water from a wide open reservoir through its turbine from an elevation of 15 meters and discharges to its surroundings at 0.50 m/s. During data gathering, the rotational force of the turbine shaft is measured 250 N for a distance of 2 m from its center axis at 2,850 rpm. If the electrical generator is 88% efficient, determine the turbine efficiency and the electrieity output of this station. Show the energy or schematie diagram and label it accordingly.
- A pump-turbine is a piece of equipment that can operate either as a pump or as a turbine, depending on the direction of the water flow. The picture on the right shows a pump-turbine system.When it is daytime, this system is used as a turbine, taking water from the upper reservoir and discharging it into the lower reservoir, producing electricity. When it is nighttime, electricity is cheaper, and this system is used as a pump, taking water from the lower reservoir and discharging it into the higher reservoir, so that it can produce electricity again the next day when it is used as a turbine. Consider that, using the system as a turbine or pump, the water flow is 1m3/s and the pressure drop is 5 m, determine:(a) The power extracted from the fluid by the turbine (points 1 and 2 are as shown in the figure: z1=35 m and z2=0 m).(b) The useful power delivered to the fluid by the pump (points 1 and 2 in the figure should be reversed: z1=0 m and z2=35 m).A hydraulic turbine receives water from a reservoir at an elevation of 100 m above it. What is the minimum water flow in kg/s to produce a steady water power of 50MW?A dam with a hydraulic turbine–generator located 40 m below the water surface has a rate of 4600 kg/s flowing through the penstock. If the electric power generated is measured to be 1400 kW and the generator efficiency is 95%, determine: (a) the overall efficiency of the turbine–generator, (b) the mechanical efficiency of the turbine, (c) the shaft power supplied by the turbine to the generator.
- The shaft of a turbine rotates at a speed of 600 rpm. If the torque of the shaft is 3500 N·m, the shaft power is (a) 207 kW (b) 220 kW (c) 233 kW (d) 246 kW (e) 350 kWWater flowing at 0.5 m3/min enters the turbine of a micro-hydroelectric generator and delivers a shaft work of W= 2,500 J/kg. What is the power delivered by the generator if it works at 95% efficiency, n = 0.95?A 10,000 KW run-of-river hydro-electric plant has an available head of 200 ft and has an overall efficiency of 90% that remains constant for all loads. For a given day during the low-water season the customers receiving primary power have the following loads: 8000KW for 2 hrs, 6000 KW for 2 hours, 4000 KW for 10 hrs, 2000 KW for 10 hrs. For a river flow remaining onstant at 525 ft/s, how much secondary power could this plant provide during the entire day?
- 1)Can the combined turbine-generator efficiency be greater than either the turbine efficiency or the generator efficiency? Explain 2) On a hot summer day, a student turns his fan on when he leaves his room in the morning. When he returns in the evening, will the room be warmer or cooler than the neighboring rooms? Why? Assume all the doors and windows are kept closed. 3) Water is being heated in a closed pan on top of a range while being stirred by a paddle wheel. During the process, 30 kJ of heat is transferred to the water, and 5 kJ of heat is lost to the surrounding air. The paddle-wheel work amounts to 500 N · m. Determine the final energy of the system if its initial energy is 10 kJ. 4) Consider a hooded electric open burner in an area where the unit costs of electricity and natural gas are $0.07/kWh and $1.20/therm, respectively (Noting that 1 therm = 29.3 kWh) . The efficiency of open burners can be taken to be 73 percent for electric burners and 38 percent for gas burners.…The shaft power from a 90 percent-efficient turbine is 500 kW. If the mass flow rate through the turbine is 440 kg/s, the extracted head removed from the fluid by the turbine is (a) 44.0 m (b) 49.5 (c) 142 m (d ) 129 m (e) 98.5 mThe available flow of water is 25 cu. m/ sec at 30 m elevation. If a hydro electric plant is to be installed with turbine efficiency of 85% and generator efficiency 90%, what maximum power that the plant could generate?