3. (10 pts) Consider the Nordex 1.3 MW, 60-m wind turbine with power specifications as following: Wind speed Power (m/s) (kW) 0 0 1 0 2 0 3 0 4 25 567 78 6 150 7 234 8 381 9 557 10 752 11 926 12 1050 13 1159 14 1249 15 1301 16 1306 17 1292 18 1283 19 1282 20 1288 21 1292 22 1300 23 1313 24 1328 25 1344 26 0 If the turbine is located in an area with 8.5 m/s average wind speeds. a. Find the average power in the wind (w/m) assuming Rayleigh distribution. b. Create a spreadsheet to determine the energy delivered (kWh/yr) from this machine. c. What would be the average efficiency of the wind turbine? d. If the turbine's rotor operate at 70% of the Betz limit, what is the efficiency of the gearing and generator?