The actual output of a wind farm is given by \[ K \cdot v^{3} \cdot A \cdot T\left(\text { units of } \mathrm{kWh} \cdot \mathrm{y}^{-1} ight) \] Where the terms have the usual meaning and units and K is approximately 3.2. Using a sea-level density of 1.2256kgm3 at 15C, verify the value of K for a wind turbine operating at the Betz's limit.