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Supplemental Learning Module Wind Turbines & Vectors
COHERENT APPLICATION THREADS CATs Wind Turbines Supplemental Learning Module EK 301 MECHANICS 1 Wind Turbines & Vectors Don Wroblewski Associate Professor, Mechanical Engineering Associate Chair, Aerospace Engineering Undergraduate Program
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VECTORS: FORCE, POSITION & UNIT VECTORS
GUY WIRE TOWER Force vectors TOCuOC TOAuOA O TODuOD uOA uOC TOBuOB Unit vectors uOB uOD Position vectors rOA rOB rOD rOC D A C B
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WIND TURBINE AERODYNAMIC FORCES VECTOR ADDITION AND COMPONENTS
xA DRAG D x yA Dy y x Dx y Wind Velocity Lx Wind Ly Total Velocity Vector L LIFT Blades about 15,000 lbs each nacelle+hub+blades=200,000 lbs or about 100 tons tower 400,000 lbs or about 200 tons. Combined system weighs about the same as a 777 aircraft Velocity due to rotation Lx + Dx is the net “thrust” force Ly - Dy is the net “torque” force that produces power
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BLADE CONING DUE TO THRUST FORCE
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WIND TURBINE AERODYNAMIC FORCES VECTOR MOMENTS
xA DRAG D x yA y x rOA y FA FA Wind O L LIFT Blades about 15,000 lbs each nacelle+hub+blades=200,000 lbs or about 100 tons tower 400,000 lbs or about 200 tons. Combined system weighs about the same as a 777 aircraft Moment of Force FA about point O Moment of Force FA about x axis
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