1i also thot this but ans given is v3
a wind power generator converts wind energy to electrical energy. assume that generator converts a fixed fraction of wind energy intercepted by its blades into electrical energy. for wind speed v, the electrical power output will be proportonal to:
a)v
b)v2
c)v3
d)v4
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3 Answers
33let in time dt, (dx*A) volume of air crosses blades where A is area of face of windmill. So mass of air crossing windmill per unit time = A(dx/dt)=Av. also energy of wind converted 2 power is proprtional to energy of wind 1/2mv2*mass of wind crossing per unit time i.e. Av
therefore proportional to v3
but only one thing power generated is propotional to K.E?