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 wo = 26 rpm. Suppose that each 38000 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 that coincides with the blade's leading edge.

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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 wo = 26 rpm. Suppose that each 38000 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 that
coincides with the blade's leading edge.
leading edge of blade
00
Neglecting aerodynamic forces and any source of friction, and assuming that the turbine is freely rotating, determine the turbine's
angular velocity wfafter each blade has been rotated 90° about its own leading edge.
The turbine's angular velocity is
rpm.
Transcribed Image Text:Required information 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 wo = 26 rpm. Suppose that each 38000 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 that coincides with the blade's leading edge. leading edge of blade 00 Neglecting aerodynamic forces and any source of friction, and assuming that the turbine is freely rotating, determine the turbine's angular velocity wfafter each blade has been rotated 90° about its own leading edge. The turbine's angular velocity is rpm.
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