PHYS 101 Lecture Notes - Lecture 33: The Fluid, Buoyancy, Statics

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Phys 101: physics for the life sciences lecture 33: Buoyancy force = weight of the fluid displaced. Viscosity = internal friction of the fluid. Note: we will ignore viscosity in this class. Ideal fluid: no viscosity, flow is laminar (vs turbulent) i. e. the fluid flows smoothly - at each point in space the fluid flow is constant, fluid is incompressible (density = = constant) The paths taken by ideal fluids are called streamlines. The velocity vectors are tangent to the streamlines. Consider a volume of fluid entering side one in a time interval t this time the fluid at the entrance was moved x . The mass of the amount of fluid that has entered is m= v = a1 x1. The amount that exits at the other end is m= v = a2 x2. The fluid is incompressible (density is constant) implies that. A1 v 1 t1= a2 v 2 t 2 (cancel like terms) thus,

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