41the reason is like this
P=Fv
As, F = Mass flowing per second x velocity
= density x volume flowing per sec x velocity
= Ï x Av x v
= ÏAv2
therefore, P=Fv=ÏAv2 x v = ÏAv3
i.e. Pαv3
A wind powered generator converts wind energy into electrical 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 , v2,v3,v4??
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3 Answers
41
383The power output of the generator is directly proportional to
(i) the velocity v of the air molecules in wind and
(ii) the kinetic energy K.E.=12 mv2 of the striking molecules(which is proportional V2).
Hence
Power Output α v * v2 α v3
