A Siemens SWT-2.3-82 wind turbine has a rated capacity of 2.3 MW and a rotor diameter of 82.4 meters. The wind turbine has cut-in and cut-out speeds of 5 m/s and 27.5 m/s, respectively and is rated at a wind speed of 17.5 m/s. The table below shows the annual wind data near a potential SWT-2.3-82 installation site. Assume the wind turbine has a gearbox/ generator efficiency of 97% and requires 220 hours of maintenance and service annually. The density of air is 1.225 kg/m3.

a. What is the root mean cube wind speed (m/s)?

b. What is the power coefficient (coefficient of performance) of the wind turbine (%)?

c. What is the expected average electrical power output of the wind turbine at the potential location (MW)? Assume that the maintenance is performed during low wind periods.

d. What is the expected capacity factor of the wind turbine at the potential location (%)?