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Required information The power Pgenerated by a certain windmill design depends upon its diameter D, the air density p, the wind velocity V, the rotation rate Q, and the number of blades n. A model windmill, of diameter 50 cm, develops 2.7 kW at sea level when V= 40 m/s and when rotating at 4800 rev/min. What power will be developed by a geometrically and dynamically similar prototype, of diameter 5 m, in winds of 13 m/s at 2000 m standard altitude? At 2000 m altitude, p= 1.0067 kg/m3. At sea level, p = 1.2255 kg/m3. The power developed is KW.

Required information The power Pgenerated by a certain windmill design depends upon its diameter D, the air density p, the wind velocity V, the rotation rate Q, and the number of blades n. A model windmill, of diameter 50 cm, develops 2.7 kW at sea level when V= 40 m/s and when rotating at 4800 rev/min. What power will be developed by a geometrically and dynamically similar prototype, of diameter 5 m, in winds of 13 m/s at 2000 m standard altitude? At 2000 m altitude, p= 1.0067 kg/m3. At sea level, p = 1.2255 kg/m3. The power developed is KW.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Required information The power Pgenerated by a certain windmill design depends upon its diameter D, the air density p, the wind velocity V, the rotation rate 2, and the number of blades n. A model windmill, of diameter 50 cm, develops 2.7 kW at sea level when V= 40 m/s and when rotating at 4800 rev/min. What power will be developed by a geometrically and dynamically similar prototype, of diameter 5 m, in winds of 13 m/s at 2000 m standard altitude? At 2000 m altitude, p = 1.0067 kg/m3. At sea level, p = 1.2255 kg/m3. The power developed is KW.
Transcribed Image Text:Required information The power Pgenerated by a certain windmill design depends upon its diameter D, the air density p, the wind velocity V, the rotation rate 2, and the number of blades n. A model windmill, of diameter 50 cm, develops 2.7 kW at sea level when V= 40 m/s and when rotating at 4800 rev/min. What power will be developed by a geometrically and dynamically similar prototype, of diameter 5 m, in winds of 13 m/s at 2000 m standard altitude? At 2000 m altitude, p = 1.0067 kg/m3. At sea level, p = 1.2255 kg/m3. The power developed is KW.
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Step 1

Given data:

dm=50 cmPm=2.7 kWVm=40 m/sN=4800 rpmdp=5 mVp=13 m/sρm=1.2255 kg/m3ρp=1.0067 kg/m3

Need to determine the power developed.

 

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