Consider a simplified wind turbine blade with flat surface on the rear part and a round surface on the front part, which is obtained by rotating $180$ half petal of a rose r $=8$ cos $3$ on the yz$-$plane. The wind velocity field is given by F $($x$,$ y$,$ z$)=$ yz i $$ xy j $+($y $+$ z$)$ k$.$ Calculate the power generated by the turbine. Hint: The power can be determined by the net force exerted on the blade by calculating the surface integral of the vorticity of the flow