1.A trapezoidal river channel section has a base dimension of 30 feet, a liquid depth of 4 feet, and side slopes of 4 to 1 (horizontal to vertical).
A) By integration, determine the location of the centroid relative to the channel bottom of this trapezoidal section.
2.Consider a 200ft high, 1200ft wide dam filled to capacity. Determine the hydrostatic force on the dam and the force per unit area of the dam near the top and near the bottom.
3.Design a 2:1 rectangular duct and fan system to pull 40000 scfm of air carrying a medium-density dust through an FCD (Final Control Device) with a ?P of 6.0 in. H2O. Assume the duct system must extend 120-feet and has four 90° elbows.