Differential Calculus2D
Applications of the Derivative - Theory & Concepts - Canal Optimization
Apply differentiation to solve problems in motion, optimization, geometric analysis, and marginal cost.
Open the complete lessonCanal Optimization
Adjust the depth of the trapezoidal canal. The total area is held constant at 50 m². Notice how the wetted perimeter changes, reaching a minimum when the cross-section approaches a half-hexagon.
Cross-Section Properties:
Area A: 50.0 m² (Constant)
Depth y: 5.37 m
Bottom Width b: 6.21 m
Wetted Perimeter P: 18.61 m
Optimal Design (Minimum P)
Loading chart...