Wind frequency data obtained at a height of 10 meters at a particular location is summarized by a Weibull distribution with λ = 9 m/s and k = 1.3. The land use is best characterized as “rough pasture.” Your wind power company is considering placing a variable-speed wind turbine with a hub height of 105 m, a rotor diameter of 90 m, and a rated power of 3 MW at this site. The cut-in, rated, and cut-out speeds are v_in = 3 m/s, v_r = 12 m/s, and v_out = 25 m/s respectively. Calculate the wind turbine’s power coefficient at its rated wind speed. Assume a constant power coefficient between v_in and the design speed, and assume that the turbine produces its rated power between the rated speed and v_out. How much total energy (in MWh) would you estimate this turbine can produce per year?