When only blade rotation and the hinge–spring and offset are included in the calculation of the flap angle, the only non-zero term is the steady state flap angle, βo. a) What is the derivative of the steady state flap angle with respect to wind velocity? Assume that the axial induction factor is also a function of wind velocity. b) Assuming that the Lock number is positive, what would the effect of a negative value of da/dU be on the steady state flap angle? c) Suppose a = 1/3 and da/dU = 0. In this case, what is the expression for the derivative of the steady state flap angle with respect to wind velocity? d) What is the derivative of the steady state flap angle with respect to blade pitch?

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