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14. The blades of a wind mill sweep out a circle ofarea A. If wind flows with velocity v perpendicularto blades of wind mill and its density is p, thenthe mechanical power received by wind mill ispAv32pAv22(3) pAv2(4) 2pAv2i5

Answer»

Area of the circle swept by the windmill =A

Velocity of the wind =v

Density of air =ρ

Volume of the wind flowing through the windmill per sec =Av

Mass ofthe wind flowing through the windmill per sec =ρAv

Massm, of the wind flowing through the windmill in timet=ρAvt

K.E =1/2*(m)*(v²) = 1/2*(ρAvt)(v²) = 1/2ρAv³t

power = energy/time = 1/2ρAv³t/t = 1/2ρAv³

option A



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