Figure 4: Drag Measurement. 4. As wind passes through a windmill it loses kinetic energy, slows down and, as conservation of mass tells us, the cross- sectional area of a volume bounded by streamlines will expand (see Figure 4). Use 1.23 kg/m³ as the density of air and assume no losses in the fluid system, the initial, free-stream wind velocity (U0) is 6 m/s, the windmill generates 1 MW of power and its generator is 93% efficient, and the initial diameter of air (Do) is 200 m, determine: (a) D2/D₁ [1.0 - 1.2] (b) The percentage of energy extracted from the air. [20% - 30%]

Elements Of Electromagnetics
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Figure 4: Drag Measurement.
Transcribed Image Text:Figure 4: Drag Measurement.
4. As wind passes through a windmill it loses kinetic energy, slows down and, as conservation of mass tells us, the cross-
sectional area of a volume bounded by streamlines will expand (see Figure 4). Use 1.23 kg/m³ as the density of air
and assume no losses in the fluid system, the initial, free-stream wind velocity (U0) is 6 m/s, the windmill generates 1
MW of power and its generator is 93% efficient, and the initial diameter of air (Do) is 200 m, determine:
(a) D2/D₁ [1.0 - 1.2]
(b) The percentage of energy extracted from the air. [20% - 30%]
Transcribed Image Text:4. As wind passes through a windmill it loses kinetic energy, slows down and, as conservation of mass tells us, the cross- sectional area of a volume bounded by streamlines will expand (see Figure 4). Use 1.23 kg/m³ as the density of air and assume no losses in the fluid system, the initial, free-stream wind velocity (U0) is 6 m/s, the windmill generates 1 MW of power and its generator is 93% efficient, and the initial diameter of air (Do) is 200 m, determine: (a) D2/D₁ [1.0 - 1.2] (b) The percentage of energy extracted from the air. [20% - 30%]
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