![3. A wind turbine has blades, which sweep out an area of diameter 25 m 25m blades Fig. 5.1 (a) The wind is blowing directy towards the wind turbine at a speed of 12 m/s. At this wind speed, 7500 kg of air passes every second through the circular area swept out by the blades. U) Calculate the kinetic energy of the air travelling at 12 m /s, which passes through the circular area in 1 second Kinetic energy. The turbine converts 10% of the kinetic energy of the wind to electrical energy Calculate the electrical power output of the turbine. State any equation that you use. (ii) Power 13] 3 Page 3 of 6](http://img.homeworklib.com/questions/2a766af0-732a-11ea-b83f-1d65794b40b4.png?x-oss-process=image/resize,w_560)
Homework Answers
Electrical power is the energy produced or energy consumed per unit time . From the given mass of air and it's velocity of flow we can find kinetic energy. And as 10% of kinetic energy is converted to electrical energy by turbine the produced electrical energy can also be found. And from produced electrical energy we can find electrical power .
Calculation is as shown below.
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3. A wind turbine has blades, which sweep out an area of diameter 25 m 25m...
A typical wind turbine extracts 40% of the kinetic energy of the wind that blows through the area swept by the blades. F...
A typical wind turbine extracts 40% of the kinetic energy of the wind that blows through the area swept by the blades. For a large turbine, 110,000 kg of air moves past the blades at 15 m/s every second. If the wind turbine extracts 40% of this kinetic energy, and if 80% of this energy is converted to electric energy, what is the power output of the generator?
1. A typical wind turbine extracts 40% of the kinetic energy of the wind that blows...
1. A typical wind turbine extracts 40% of the kinetic energy of the wind that blows through the area swept by the blades. For a large turbine 110,000 kg of air moves past the blades at 13 m/s every second. A. Sketch the turbine and the air passing ‘through’ it. B. How much power does the turbine extract? C. If the turbine converts 80% of the power into electric energy, how much electric power is produced?
An industrial wind turbine has blades that are 35 m long. On a 20?C day, wind at atmospheric pressure blows with a velocity of 12 m/s
An industrial wind turbine has blades that are 35 m long. On a 20?C day, wind at atmospheric pressure blows with a velocity of 12 m/s , and wind in the turbine wake only has a velocity of 11 m/s .(a) If we assume that all of the kinetic energy lost by the wind is converted to electrical energy by the turbine, then what is the power generated by this turbine? (density is 1.205 kg/m^3)(b) This turbine is rated as...
1. Increasing the diameter of turbine blade 3 times power of turbine will 2. Maximum possible...
1. Increasing the diameter of turbine blade 3 times power of turbine will 2. Maximum possible efficiency of a wind turbine i 3. A taller wind turbine gives higher power because at higher altitude A) Increase 2 times 1B) decrease 4 times C) incrense 8 times D) Increase 9 tinves As A)39% B) 49% C)50% D) 90% Ans A) Density of air is higher B) air velocity of higher C) air pressure is higher D) air temperature is higher Anst...
2 (b) A blade of a wind turbine can be considered as a thin rod, of...
2 (b) A blade of a wind turbine can be considered as a thin rod, of mass m, length a and cross- sectional area A. (i) Show that the moment of inertia of the blade about an axis passing through its centre of mass and perpendicular to its length is 1 = izma? [8] (ii) By applying the parallel axis theorem or otherwise, deduce the moment of inertia of the blade about an axis passing through one end of the...
Kindly correctly and show steps. Thank you 2. Wind (ρair = 1.225 kg/m3 ) passes through...
Kindly correctly and show steps. Thank you
2. Wind (ρair = 1.225 kg/m3 ) passes through a
turbine in Figure 2 at a constant temperature, whose blades of
length R1 = 30 m sweep out an area A1 seen in Figure 2.
V. P 1.5MW Figure 2: Wind Turbine. 2. (20 points) Wind (Pair1.225passes through a turbine in Figure 2 at a constant temperature, whose blades of length Ri 30 m sweep out an area A seen in Figure 2...
14. A giant wind turbine generates electrical power with three blades with a diameter of 145...
14. A giant wind turbine generates electrical power with three blades with a diameter of 145 m, and are designed to run safely when the outer end of a blade is moving at around 10 m/s. a. The wind turbine is allowed to begin spinning from rest up to its maximum safe speed over the course of 150 seconds. If this happens at a uniform rate, what is the angular acceleration of the blades, in radians per second? b. After...
. A typical commercial wind turbine costs approximately $2 million per MW of installed power and...
. A typical commercial wind turbine costs approximately $2 million per MW of installed power and requires 5.76 TJ per million dollars of energy to manufacture the wind turbine. (a) Calculate the amount of energy that is consumed (i.e. energy invested) in the manufacture ofa 1.5 MW wind turbine, assuming that turbine manufacture requires 5.76 TJ per million dollars spent. (TJ Tera-joules 1012 joules) (b) If the wind turbine has blades that are 40 meters (radius) long and the average...
21. Determine the power output of a wind turbine whose blades are 12 m in diameter...
21. Determine the power output of a wind turbine whose blades are 12 m in diameter and when the wind speed is 6 m/s, the air density at sea level is about 1.2 kg/m3, and the maximum nower coefficient for this wind turbine is 0.35.
5. The three rotor blades of a wind turbine can be considered to be long thin...
5. The three rotor blades of a wind turbine can be considered to be long thin rods. Each of the rotor blades is 43 m long and has a mass of 60 Mg. The turbine is spinning at 20 rpm and is generating 2.8 MW of power. This problem DOES need to be written out for your portfolio. NOTES IMAGES DISCUSS UNITS STATS HELP Part Description Answer Chk History nergy of the Determine the kinetic e turbine (include units with...
1. Increasing the diameter of turbine blade 3 times power of turbine will 2. Maximum possible efficiency of a wind turbine i 3. A taller wind turbine gives higher power because at higher altitude A) Increase 2 times 1B) decrease 4 times C) incrense 8 times D) Increase 9 tinves As A)39% B) 49% C)50% D) 90% Ans A) Density of air is higher B) air velocity of higher C) air pressure is higher D) air temperature is higher Anst...
2 (b) A blade of a wind turbine can be considered as a thin rod, of mass m, length a and cross- sectional area A. (i) Show that the moment of inertia of the blade about an axis passing through its centre of mass and perpendicular to its length is 1 = izma? [8] (ii) By applying the parallel axis theorem or otherwise, deduce the moment of inertia of the blade about an axis passing through one end of the...
Kindly correctly and show steps. Thank you
2. Wind (ρair = 1.225 kg/m3 ) passes through a
turbine in Figure 2 at a constant temperature, whose blades of
length R1 = 30 m sweep out an area A1 seen in Figure 2.
V. P 1.5MW Figure 2: Wind Turbine. 2. (20 points) Wind (Pair1.225passes through a turbine in Figure 2 at a constant temperature, whose blades of length Ri 30 m sweep out an area A seen in Figure 2...
14. A giant wind turbine generates electrical power with three blades with a diameter of 145 m, and are designed to run safely when the outer end of a blade is moving at around 10 m/s. a. The wind turbine is allowed to begin spinning from rest up to its maximum safe speed over the course of 150 seconds. If this happens at a uniform rate, what is the angular acceleration of the blades, in radians per second? b. After...
. A typical commercial wind turbine costs approximately $2 million per MW of installed power and requires 5.76 TJ per million dollars of energy to manufacture the wind turbine. (a) Calculate the amount of energy that is consumed (i.e. energy invested) in the manufacture ofa 1.5 MW wind turbine, assuming that turbine manufacture requires 5.76 TJ per million dollars spent. (TJ Tera-joules 1012 joules) (b) If the wind turbine has blades that are 40 meters (radius) long and the average...
21. Determine the power output of a wind turbine whose blades are 12 m in diameter and when the wind speed is 6 m/s, the air density at sea level is about 1.2 kg/m3, and the maximum nower coefficient for this wind turbine is 0.35.
5. The three rotor blades of a wind turbine can be considered to be long thin rods. Each of the rotor blades is 43 m long and has a mass of 60 Mg. The turbine is spinning at 20 rpm and is generating 2.8 MW of power. This problem DOES need to be written out for your portfolio. NOTES IMAGES DISCUSS UNITS STATS HELP Part Description Answer Chk History nergy of the Determine the kinetic e turbine (include units with...
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