The maximum power that can be extracted by a find turbine from an air stream is approximately P? =? ? ?u?3 where ?d is the blade diameter, ?u is the wind speed, and the constant ?k = 0.5 W · s3/m5. (a) Explain the dependence of ?P on ?d and on ?u by considering a cylinder of air that passes over the turbine blades in time ?t (Fig.). This cylinder has diameter ?d?, length L = ?u?t, and density ?. (b) The Mod-5B wind turbine at Kahaku on the Hawaiian island of Oahu has a blade diameter of 97 m (slightly longer than a football field) and sits atop a 58-m tower. It can produce 3.2 MW of electric power. Assuming 25% efficiency, what wind speed is required to produce this amount of power? Give your answer in m/s and in km/h. (c) Commercial wind turbines are commonly located in or downwind of mountain passes. Why? Figure:

# The maximum power that can be extracted by a find turbine

## Solution for problem 58P Chapter 20

University Physics | 13th Edition

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University Physics | 13th Edition

Get Full SolutionsThis textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “The maximum power that can be extracted by a find turbine from an air stream is approximately P? =? ? ?u?3 where ?d is the blade diameter, ?u is the wind speed, and the constant ?k = 0.5 W · s3/m5. (a) Explain the dependence of ?P on ?d and on ?u by considering a cylinder of air that passes over the turbine blades in time ?t (Fig.). This cylinder has diameter ?d?, length L = ?u?t, and density ?. (b) The Mod-5B wind turbine at Kahaku on the Hawaiian island of Oahu has a blade diameter of 97 m (slightly longer than a football field) and sits atop a 58-m tower. It can produce 3.2 MW of electric power. Assuming 25% efficiency, what wind speed is required to produce this amount of power? Give your answer in m/s and in km/h. (c) Commercial wind turbines are commonly located in or downwind of mountain passes. Why? Figure:” is broken down into a number of easy to follow steps, and 157 words. University Physics was written by and is associated to the ISBN: 9780321675460. Since the solution to 58P from 20 chapter was answered, more than 261 students have viewed the full step-by-step answer. This full solution covers the following key subjects: wind, power, diameter, turbine, passes. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 58P from chapter: 20 was answered by , our top Physics solution expert on 05/06/17, 06:07PM.

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The maximum power that can be extracted by a find turbine