Suppose the length of the blade is R
The volume of air passing through it in 1 s is V=πR?v and the mass m=pV
L kinetic energy generated by air in 1s is Ek=1/ 2mv?=1/2pπR?v^3
The electrical energy converted in 1s E=20%Ek=20%·1/ 2pπR?v^3< /p>
So R=lower root [E/(20%·1/2pπR?v^3)]=Lower root (10E/pπv^3)=10m