A windmill has an approach velocity V1 = 24 mph (35.3 ft/s)and a blade diameter of 100

Chapter 12, Problem 12.50

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A windmill has an approach velocity V1 = 24 mph (35.3 ft/s)and a blade diameter of 100 ft. The blade rotates at 15 rpm. FigureP12.51 shows a blade cross-sectional profile and the velocity diagrams for a short section of the blade at a radius of r = 25.0 ft.The outlet relative velocity W2 is tangent to the blade at the outletso 2 = 2 = 30. The air density is constant as it flows over theblade. Assume that the flow area for the mass flow rate that interactswith this short section of the blade is the same upstream anddownstream of the blade (i.e., A1 = A2). Find the velocity diagramdownstream of the blade by finding U, W2, V2, and 2.

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