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(A) Show That for a Wind Turbine Spacing of 3 PAland =πρη240v3\frac { P } { A _ { \text {land } } } = \frac { \pi \rho \eta } { 240 } v ^ { 3 }

question 15

Essay

(a) Show that for a wind turbine spacing of 3 rotor diameters crosswind and 10 rotor diameters downwind, the power generated per unit land area for a wind farm is independent of rotor diameter and is equal to PAland =πρη240v3\frac { P } { A _ { \text {land } } } = \frac { \pi \rho \eta } { 240 } v ^ { 3 } where ρ is the air density and η is the turbine efficiency.
(b) Show that when the velocity is measured in m/s, the power per unit area is in kg/s3.
(c) Discuss the relevance of hub height on the answer to part (a).

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Definitions:

Theoretical Orientation

A specific set of beliefs, attitudes, and practices that guide a therapist or counselor in their approach to understanding clients' issues and helping them.

Deductive Logic

A method of reasoning from one or more statements (premises) to reach a logically certain conclusion, based on the principle that if the premises are true, the conclusion must be true.

Formal Operational

This refers to the final stage in Piaget's theory of cognitive development, where individuals (typically adolescents and adults) gain the ability to think abstractly, logically, and systematically.

Hypothesis Testing

A statistical method that is used to determine whether there is enough evidence in a sample of data to infer that a certain condition is true for the entire population.

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