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A Three-Blade Wind Turbine with a 100 M Rotor Diameter

question 4

Essay

A three-blade wind turbine with a 100 m rotor diameter operates with a tip
speed ratio of 10.
(a) What is the efficiency?
(b) What fraction of the Betz limit is achieved?
(c) What is the actual power output in kW for a wind speed of 11 m/s?
(d) For the wind speed in part (c), what is the actual blade tip velocity?
(e) For the wind speed in part (c), how long does it take the rotor to make one rotation?

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Definitions:

Absolute Zero

The lowest possible temperature where nothing could be colder and no heat energy remains in a substance, equivalent to -273.15°C or zero kelvin.

Publisher Type Score

A scoring metric or system that is proprietary to the publisher of a particular test, often used in educational and psychological assessments.

Standard Score

A standard score is a statistical measure that indicates how many standard deviations an entity is from the mean of the population.

SAT

A standardized test widely used for college admissions in the United States, assessing reading, writing, and math skills.

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