# Physics 9 - Physics Chapter 9 Fluid Mechanics Fluids Fluids...

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Physics Chapter 9: Fluid Mechanics

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Fluids Fluids Definition - Materials that Flow Liquids Definite Volume Non-Compressible Gasses No Definite Volume Compressible
Fluids Mass Density Mass / Unit Volume Symbol ρ (rho) m = mass (kg) V = volume (m 3 ) V m = ρ

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Fluids Mass Density Density of Water (@ 4 0 C) 1.0 g/cm 3 = 1.0 g/cc = 1.0 g/mL 1.0L = 1x10 -3 m 3 3 3 10 / 1 / 1 / 0 . 1 m kg L kg mL g - = = 3 3 / 10 1 m kg x
Fluids Mass Density Density of Other Materials Page 319 Table 9-1 Gasses Liquids Solids

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Fluids Archimedes’ Principle Any Fluid Applies a Buoyant Force to an Object that is partially or Completely Immersed in it; The Magnitude of the Buoyant Force Equals the Weight of the Fluid that the Object Displaces. fluid buoyant W F =
Fluids Archimedes’ Principle Apparent Weight The Weight of an Object You “Feel” The Net Force Acting on a Submerged or Partially Submerged Object buoyant g apparent F F W - =

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Fluids Archimedes’ Principle g m W F fluid buoyant = = fluid displaced V m fluid ρ = Vg F fluid buoyant ρ =
Fluids Archimedes’ Principle If F g > F buoyant the Object Will Sink If F g < F buoyant the Object Will Float If F g = F buoyant the Object Will be Neutrally Buoyant Vg F buoyant ρ =

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Fluids Archimedes’ Principle For a Floating Object the Buoyant Force in Equal to the Weight of the Object object object buoyant W g m F = = g m gV g m W F object fluid buoyant = = = = ρ fluid displaced g object fluid buoyant F gV gV F = = = ρ ρ
Fluids Archimedes’ Principle Object Volume and Gravity are Constant g object fluid buoyant F gV gV F = = = ρ ρ buoyant g fluid object F F = ρ ρ

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Fluids Pressure Force Acting Perpendicular to a Surface Divided by the Area of the Surface Units – N/m 2 = Pascal (Pa) A F P =
Fluids Pressure Pascal 1Pa = 1N/m 2 Very Small Quantity ATM 1.013x10 5 Pa = 1.013 bar = 14.70 lb/in 2 A F P =

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Fluids Pascal’s Principle Any Change in the Pressure Applied to a Completely Enclosed Fluid Is Transmitted Undiminished to All Parts of the Fluid and the Enclosing Walls. 2 2 1 1 A F A F = 2 1 P P =
Fluids Pascal’s Principle 2 2 1 1 A F A F = 1 2 1 2 A A F F =

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Fluids Pressure and Depth Fluid, at a Given Depth, has Pressure Applied to It by the Fluid Above It A F P =
Fluids Pressure and Depth gh A gAh A gV A mg A F P ρ ρ ρ = = = = = gh P P ρ + = 1 2

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Fluids Pressure and Depth A P F 1 1 - = A P F 2 2 =
Fluids Pressure and Depth 1 2 F F mg F F + - = 1 2

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Fluids Pressure and Depth hg P P P net ρ = + = 1 2 g m Vg A P F fluid net net = = = ρ
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