Pascal's Principle & Hydraulic Systems
Explore Pascal's principle stating that pressure applied to a confined fluid is transmitted undiminished throughout the fluid. Understand hydraulic systems where a small force on a small piston creates a large force on a large piston: F₁/A₁ = F₂/A₂. Visualize mechanical advantage in hydraulic lifts, car brakes, and hydraulic presses. Learn how incompressible fluids enable force multiplication while conserving energy through different displacement distances.
Continuity Equation & Flow Rate
Explore the continuity equation for incompressible fluids stating that mass flow rate is constant: A₁v₁ = A₂v₂, where A is cross-sectional area and v is fluid velocity. Understand that as pipe diameter decreases, fluid velocity increases to maintain constant volume flow rate. Visualize applications in blood flow through arteries, water through nozzles, and river flow through narrow channels. Connect continuity to Bernoulli's principle for complete fluid dynamics analysis.