The vertical gate in a water channel is partially open, as in Fig. P3.52 Assuming no change in water level and a hydrostatic pressure distribution, derive an expression for the stream wise force Fx on one-half of the gate as a function of (ρ, h, w, θ, V1). Apply your result to the case of water at 20°C, V1 = 0.8 m/s, h = 2 m, w = 1.5 m, and θ = 50°.

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V 1 2 w 2 Top View Side View