number 3 A river has an area of 280 square kilometers and study shows that the site has anaverage annual rainfall of 195 cm. It is proposed to install a hydraulic turbinehaving an efficiency of 78% connected to an electric generator with efficiency of94%. If the site has an elevation head of 62 meters. Calculate the power that canbe generated.

question based on hydraulic power system

Answered: A river has an area of 280 square…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter7: Work And Kinetic Energy

Section: Chapter Questions

Problem 69P: A large household air conditioner may consume 15.0 kW of power. What Is the cost of operating this...

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A hydraulic turbine has 85 m of elevation difference available at a flow rate of 0.25 m3/s, and its overall turbine– generator efficiency is 91 percent. Determine the electric power output of this turbine.
b) A human can generate power of about 80 W. If one person works to raise water for 4 hours every day, what is the approximate volume of water that can be pumped from a 5 meter deep well in a month, assuming 50% efficiency? c) The water is to be used to irrigate a field of wheat, which requires a total of 15 cm depth of water over a three-month growing season. Using the answer from (b), how much area can be irrigated to a depth of 5 cm each month? d) If the yield of wheat is 0.1 kg/m², and the energy equivalent of wheat is 7.5 MJ/kg, what is the total energy produced by the field of wheat over a season? e) Assuming a food consumption per person of 10 MJ per day, how many person-days of food is generated by this field over a year?
A coal power plant has a rated output of 150 MW and a first law efficiency of 41%. Coal has an energy density of 24 MJ/kg. How many metric tons of coal are wasted by the power plant per hour while running at full capacity (that is, how much of the coal that was burned did not actually contribute to generating electricity)? Express your answer in metric tons of coal.
2) Estimate the rate at which energy flows from a gasoline pump to a motor vehicle during a “ fill-up. ” Express your answer in kW. If this rate of energy delivery were electric power, roughly how many people would it serve, assuming a typical US residential community? Make the following assumptions: the HHV of 1 gallon of gasoline is 145,000 Btu; it takes 5 minutes to fill up a 16-gallon auto tank; and a 1 GW e electrical plant serves a residential community of 1 million people.
An open tank has the shape of a right circular cone (see figure). The tank is 8 feet across the top and 6 feet high. Water is pumped in through the bottom of the tank. (The water weighs 62.4 Ib per cubic foot.) Ay (a) How much work is done to fill the tank to a depth of 3 feet? ft-lb (b) How much work is done to fill the tank from a depth of 4 feet to a depth of 6 feet? ft-lb
Suppose that in one year a country produces 2.87×10112.87×1011 kilowatt‑hours (kWh)(kWh) of electrical energy from 41884188 hydroelectric plants (1.00 kWh=3.60×106 J).(1.00 kWh=3.60×106 J). On average, each plant is 90.0%90.0% efficient at converting mechanical energy to electrical energy, and the average dam height is 50.0 m.50.0 m. At 2.87×1011 kWh2.87×1011 kWh of electrical energy produced in one year, what is the average power output ?avgPavg per hydroelectric plant?
An electric motor is rated at 10 horsepower (HP) and costs $800. Its full-load efficiency is specified to be 85%. A newly designed, high-efficiency motor of the same size has an efficiency of 90%, but costs $1,200. It is estimated that the motors will operate at a rated 10-HP output for 1,500 hours a year, and the cost of energy will be $0.07 per kilowatt-hour. Each motor is expected to have a 15-year life. At the end of 15 years, the first motor will have a salvage value of $50, and the second motor will have a salvage value of $100. Consider the MARR to be 8%. (Note: 1 HP= 0.7457kW.)(a) Determine which motor should be installed based on the PW criterion.(b) What if the motors operated 2,500 hours a year instead of 1,500 hours ayear? Would the motor selected in (a) still be the choice?
Calculate the electric power produced per square meter of windmill disk area for a windmill operationg at 70% of the theoretical maximum mectoric efficiency, with an electric generating etfficiency of 90% when the wind velocity is 20 m/s (we must inject all types of efficiencies: Mechanical to electrical is 90% and wind to mechanical efficiency 59% and operating efficiency 70) 1.813896 W/m2 O 18138.96 W/m2 O 18.13896 W/m2 O 181.3896 W/m2
(a) Calculate the power per square meter reaching Earth’s upper atmosphere from the Sun. (Take the power output of the Sun to be 4.00×1026W.) (b) Part of this is absorbed and reflected by the atmosphere, so that a maximum of 1.30 kW/m2 reaches Earth’s surface. Calculate the area in km2 of solar energy collectors needed to replace an electric power plant that generates 750 MW if the collectors convert an average of 2.00% of the maximum power into electricity. (This small conversion efficiency is due to the devices themselves, and the fact that the sun is directly overhead only briefly.) With the same assumptions, what area would be needed to meet the United States’ energy needs (1.05×1020 J)? Australia’s energy needs (5.4×1018 J)? China’s energy needs (6.3×1019 J)? (These energy consumption values are from 2006.)
What is the average power consumption in watts of an appliance that uses 8.18 kW · h of energy per day? How many joules of energy does this appliance consume in a year?
Q. a) whatis the energy required to walk 20km at 5 km/h ? From the table. the energy rate o walking activity at 5 Km/hr is 3.8 kc/min The energy vequived t wbik 20kwes,8 Ka/min X2km X 6o min Ar x 5Km/hr Energy-g1z kad

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