The wind turbine in the figure consists of three equally spaced blades that are rotating a...

The wind turbine in the figure consists of three equally spaced blades that are rotating as shown about the fixed point O with an angular velocity ω0 = 30 rpm. Suppose that each 38,000 lb blade can be modeled as a narrow uniform rectangle of length b = 182 ft, width a = 12 ft, and negligible thickness, with one of its corners coinciding with the center of rotation O. The orientation of each blade can be controlled by rotating the blade about an axis going through the center O and coinciding with the blade’s leading edge. Neglecting aerodynamic forces and any source of friction, and assuming that turbine is freely rotating, determine the turbine’s angular velocity ωf after each blade has been rotated 90° about its own leading edge.

Figure P8.71