PROBLEM 1 (40 POINTS) Figure 1 shows the power curve for a wind turbine with the rated power of 1 MW (i.e. 10 Watt). Using the 1-D momentum equation and actuator disc theory, estimate the thrust (in N) acting on the turbine at the rated wind speed 13 m/s. Take the turbine diameter - 58.6 m and the airflow density p - 1.216 kg/m. The table shown in Figure 2 gives the values of the power coefficient, C., for different values of induction factor. Figure 1: Power curve for a 1 MW wind turbine (source: https://en.wind-turbine-models.com/). Op o 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.000 0.039 0.077 0.113 0.147 0.181 0.212 0.242 0.271 0.298 0.324 Figure 2: Power coefficient for different values of the induction factor.