The controversial Cape Wind project proposes 130 large wind turbines in Nantucket Sound, intended to provide 75% of the electric power needs of Cape Cod and the Islands. The turbine diameter is 100 m. For an average wind velocity of 7 m/s, what are the best rotation rate (r/min) and total power output (MW) estimates for (a) a HAWT; and (b) a VAWT? [ Hint: use Fig.11.32 to obtain maximum C, and corresponding speed ratio or/V for HAWT and VAWT]

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.