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Physics - W.E.P. Question with Solution | TestHub

PhysicsW.E.P.PowerEasy2 minPYQ_2020

PhysicsEasysingle choice

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

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Answer:

Solution:

$Power = \vec{F} \cdot \vec{v} = Fv$

$F = v (\frac{d m}{d t}) = v \{\frac{d (ρ \times volume)}{d t}\}$

$= ρ v \{\frac{d (volume)}{d t}\} = ρ v (Av) = ρ {Av}^{2}$

$∴ Power P = ρ {Av}^{3} or P \propto v^{3}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:W.E.P.Subtopic:Power

⏱ 2mℹ️ Source: PYQ_2020

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