A wind-powered generator converts wind energy into electric energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. For wind speed v , the electrical power output will be proportional to

Question

A wind-powered generator converts wind energy into electric energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. For wind speed v , the electrical power output will be proportional to, v, v 2, v 3, v 4

MARKS App · Accepted Answer

Power = F → · v → = Fv F = v d m d t = v d ρ × volume d t = ρ v d volume d t = ρ v Av = ρ Av 2 ∴ Power P = ρ Av 3 or P ∝ v 3

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