When the site is chosen, it is proposed that three-blade type wind turbines are installed, which can generate for a wind velocity range from 3.00 m s1 to 12.0 m s1. The turbine blades are 75.0 m in length, the power coefficient is 0.540, and the average air density is 1.21 kg m3. Site WT1 can accommodate three wind turbines, whereas Site WT2 can accommodate six wind turbines. It is estimated that the turbines can operate for 82.0% of the time at Site WT1, and 85.0% of the time at Site WT2. Based upon your answers to Part (a) of this question, estimate the maximum energy that could be extracted annually from the wind at Sites WT1 and WT2. Assume one year is approximately 3.1536 x 107 s S.

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.33P
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Hello, please solve part b accurate and exact please. 

a. The wind farm could be located on the large flat-topped hill to the east of the community
(Site WT1), or on open land to the south of the community (Site WT2).
The wind speed distribution at Site WT1 can be described by the Weibull distribution,
where k = 4.0 and A = 12.8.
The wind speed distribution at Site WT2 can also be described by the Weibull
distribution, where k = 2.8 and A = 10.6.
Estimate the median wind velocity at Sites WT1 and WT2.
Provide screenshots of how you achieved your answers.
b. When the site is chosen, it is proposed that three-blade type wind turbines are installed,
which can generate for a wind velocity range from 3.00 m s1 to 12.0 m s1.
The turbine blades are 75.0 m in length, the power coefficient is 0.540, and the average
air density is 1.21 kg m3.
Site WT1 can accommodate three wind turbines, whereas Site WT2 can accommodate
six wind turbines. It is estimated that the turbines can operate for 82.0% of the time at
Site WT1, and 85.0% of the time at Site WT2.
Based upon your answers to Part (a) of this question, estimate the maximum energy
that could be extracted annually from the wind at Sites WT1 and WT2. Assume one year
is approximately 3.1536 x 107 s.
Transcribed Image Text:a. The wind farm could be located on the large flat-topped hill to the east of the community (Site WT1), or on open land to the south of the community (Site WT2). The wind speed distribution at Site WT1 can be described by the Weibull distribution, where k = 4.0 and A = 12.8. The wind speed distribution at Site WT2 can also be described by the Weibull distribution, where k = 2.8 and A = 10.6. Estimate the median wind velocity at Sites WT1 and WT2. Provide screenshots of how you achieved your answers. b. When the site is chosen, it is proposed that three-blade type wind turbines are installed, which can generate for a wind velocity range from 3.00 m s1 to 12.0 m s1. The turbine blades are 75.0 m in length, the power coefficient is 0.540, and the average air density is 1.21 kg m3. Site WT1 can accommodate three wind turbines, whereas Site WT2 can accommodate six wind turbines. It is estimated that the turbines can operate for 82.0% of the time at Site WT1, and 85.0% of the time at Site WT2. Based upon your answers to Part (a) of this question, estimate the maximum energy that could be extracted annually from the wind at Sites WT1 and WT2. Assume one year is approximately 3.1536 x 107 s.
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the question asked for energy not the power so the answers should be in J which will be obtained by multiplying annual power by No of seconds in a year

 

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