Solve the below problem:
Q: The vertical gate in a water channel is partially open, as in Fig. Assuming no change in water level and a hydrostatic pressure distribution, derive an expression for the streamwise 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°.