Q$2(10$p$)$ Consider a wind turbine with a diameter $D=120$ meters. In this problem assume that the density of air is $=1\mathrm{.}2k\frac{g}{m^3}$ and the wind speed is $8\frac{m}{s}.$

Calculate the power density of the wind at this location $\frac{W}{m^2}$

Calculate the maximum $($according to the Betz model$)$ power produced by this turbine, $kW.$

Calculate the actual energy produced by this turbine, $[$kWh$],$ in one day if the actual coefficient of power is $0\mathrm{.}32.$ Assume that the wind speed, air properties and turbine performance are steady during the day.

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