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Consider a 90 m diameter wind turbine experiencing a mean upstream wind velocity of 8 m/s. The turbine design can be assumed to have an induction...

Consider a 90 m diameter wind turbine experiencing a mean upstream wind velocity of 8 m/s.Â The turbine design can be assumed to have an induction factor of 0.27.Â The turbine is spinning with a tip speed ratio of 8.5.Â Answer the following about the blade design on this turbine for locations 9 m from the center of rotation as well as 44 m from the center of rotation for a 2 m section (dr = 2m) with chords of 2.5 m and 1 m, respectively:a) What is the velocity of the wind be at the rotor under these conditions in m/s? b) What is the velocity of the blade be for the sections of interest in m/s? c) What is the relative velocity of the wind for these blade segments in m/s? d) What is the blade flow angle in degrees for these blade segments? e) If this turbine has an S812 airfoil cross section at this segment, and the CLÂ and CDÂ versus angle of attack properties for this airfoil are known as plotted below, what do you think would be an optimal choice for the angle of attack, please justify your choice?f) If you were designing these turbine segments to operate optimally at this wind condition, given what you have calculated for the blade flow angle, what should the twist of the blade be for these segments? g) How much power would be generated from these blade segments. h) What RPM is this turbine operating at i) BONUS, how much energy would you estimate this device to produce annually in a 8 m/s annual average wind speed location? Show your work/justify your answer. (3 pts)Â

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