In wind turbines, the ratio Pshaft/Pwind of the power available at the shaft to the power in the wind is called the Coefficient of Performance, Cp, which is a unit-less quantity. For informational purposes, the plot of this coefficient, as a function of X, is shown in Figure P1-5 [9] for various values of the blades pitch-angle θ, where X is a constant times the ratio of the blade-tip speed and the wind speed. The rated power is produced at the wind speed of 12 m/s where the rotational speed of the blades is 20 rpm. The cut-in wind speed is 4 m/s. Calculate the range over which the blade speed should be varied between the cut-in and the rated wind speeds to harness the maximum power from the wind. In this range of wind speeds, the blades pitch-angle is kept at nearly zero. Note: this simple problem shows the benefit of varying the speed of wind turbines, by means of a variable-speed drive, for maximizing the harnessed energy.