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Calculus & Physics: Fluid Dynamics
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Module 3
Fluid Statics and Hydrostatic Forces
1
Fluid Density and Pascal's Law
Define fluid density and apply Pascal's law to calculate pressure at a depth in an incompressible static fluid.
2
Pressure Gradient in Accelerated Frames
Formulate the pressure gradient equation for a fluid in a uniformly accelerated reference frame.
Pressure Distribution in Rotating Fluids
Calculate the pressure distribution in a uniformly rotating fluid container.
4
Hydrostatic Force on Curved Surfaces
Calculate the horizontal and vertical components of hydrostatic force on a curved submerged surface.
5
Hydrostatic Force on Submerged Surfaces
Determine the resultant hydrostatic force and its line of action on plane and curved submerged surfaces.
6
Buoyancy: Archimedes' Principle
Apply Archimedes' principle to calculate the buoyant force on fully and partially submerged bodies.
7
Metacenter and Metacentric Height: Analyzing Floating Body Stability
Analyze the stability of floating bodies by locating the metacenter and calculating the metacentric height.
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