A horizontal-axis wind turbine with rotor 80m in diameter is 35% efficient in 18m/s wind at 0.977 atmospheric pressure and 25°C. a. Calculate the total amount of power the wind turbine would produce in those winds. b. Estimate the amount of power the turbine would produce if the altitude increased by 1500m and the temperature increased to 30°C. TABLE 6.1 Density of Dry Air at a Pressure of 1 Atmosphere Temperature Temperature (F) (C) -15 -10 -5 តន្ទុ ។ ន ខ ឌ ន ន ខ ឌ ធ្នូ 0 5 10 15 20 25 30 35 40 5.0 14.0 23.0 32.0 41.0 50.0 59.0 68.0 77.0 86.0 95.0 104.0 Density Density Ratio (kg/m³) (KT) 1.368 1.342 1.317 1.293 1.269 1.247 1.225 1.204 1.184 1.165 1.146 1.127 1.12 1.10 1.07 1.05 1.04 1.32 1.30 0.98 0.97 0.95 0.94 0.92 "The density ratio Kr is the ratio of density at 7 to the density at the standard (boldfaced) 15°C. TABLE 6.2 Air Pressure at 15°C as a Function of Altitude Altitude (meters) 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 Altitude Pressure (feet) (atm) 0 656 1312 1968 2625 3281 3937 4593 5249 5905 6562 7218 1 0.977 0.954 0.931 0.910 0.888 0.868 0.847 0.827 0.808 0.789 0.771 Pressure Ratic (K₁) 1 0.977 0.954 0.931 0.910 0.888 0.868 0.847 0.827 0.808 0.789 0.771
A horizontal-axis wind turbine with rotor 80m in diameter is 35% efficient in 18m/s wind at 0.977 atmospheric pressure and 25°C. a. Calculate the total amount of power the wind turbine would produce in those winds. b. Estimate the amount of power the turbine would produce if the altitude increased by 1500m and the temperature increased to 30°C. TABLE 6.1 Density of Dry Air at a Pressure of 1 Atmosphere Temperature Temperature (F) (C) -15 -10 -5 តន្ទុ ។ ន ខ ឌ ន ន ខ ឌ ធ្នូ 0 5 10 15 20 25 30 35 40 5.0 14.0 23.0 32.0 41.0 50.0 59.0 68.0 77.0 86.0 95.0 104.0 Density Density Ratio (kg/m³) (KT) 1.368 1.342 1.317 1.293 1.269 1.247 1.225 1.204 1.184 1.165 1.146 1.127 1.12 1.10 1.07 1.05 1.04 1.32 1.30 0.98 0.97 0.95 0.94 0.92 "The density ratio Kr is the ratio of density at 7 to the density at the standard (boldfaced) 15°C. TABLE 6.2 Air Pressure at 15°C as a Function of Altitude Altitude (meters) 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 Altitude Pressure (feet) (atm) 0 656 1312 1968 2625 3281 3937 4593 5249 5905 6562 7218 1 0.977 0.954 0.931 0.910 0.888 0.868 0.847 0.827 0.808 0.789 0.771 Pressure Ratic (K₁) 1 0.977 0.954 0.931 0.910 0.888 0.868 0.847 0.827 0.808 0.789 0.771
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:A horizontal-axis wind turbine with rotor 80m in diameter is 35% efficient in 18m/s wind
at 0.977 atmospheric pressure and 25°C.
a. Calculate the total amount of power the wind turbine would produce in those
winds.
b. Estimate the amount of power the turbine would produce if the altitude increased
by 1500m and the temperature increased to 30°C.
TABLE 6.1 Density of Dry Air at a Pressure of 1
Atmosphere
Temperature Temperature Density Density Ratio
(°C)
(°F)
(kg/m³)
(KT)
-15
៦ ៩៩ ៨ ៩ t = w c! ម៉ត់
-10
5
15
5.0
14.0
23.0
32.0
41.0
50.0
59.0
68.0
77.0
86.0
95.0
104.0
1.368
1.342
1.317
1.293
1.269
1.247
1,225
1.204
1.184
1.165
1.146
1.127
1.12
1.10
1.07
1.05
1.04
1.02
1.30
0.98
0.97
0.95
0.94
0.92
"The density ratio Kr is the ratio of density at 7 to the density
at the standard (boldfaced) 15°C.
TABLE 6.2 Air Pressure at 15°C as a Function
of Altitude
Altitude
(meters)
0
200
400
600
800
1000
1200
1400
1600
1800
2000
2200
Altitude
(feet)
0
656
1312
1968
2625
3281
3937
4593
5249
5905
6562
7218
Pressure
(atm)
1
0.977
0.954
0.931
0.910
0.888
0.868
0.847
0.827
0.808
0.789
0.771
Pressure Ratic
(K₁)
1
0.977
0.954
0.931
0.910
0.888
0.868
0.847
0.827
0.808
0.789
0.771
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