Texts: Tutorial Sheet 1 No. 1
From simple energy considerations (i.e. ignoring frictional, rotational, and other effects), prove that the power extracted by a windmill is given by: ππππ = 2 π. π΄. π^3π1 (1 β π1)^2
Show that the ideal efficiency is given by: ππ = 4π1 (1 β π1)^2
Hence obtain a value for the maximum efficiency and the corresponding a1.
Answer: π1 = 1/3, (ππ )πππ₯ = 16/27