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Fluids & Pressure Objectives:
define fluid, liquid, gas, pressure, Pascal, barometer, aneroid 2. write two equations for pressure 3. state Boyle's Law 4. describe some examples of pressure
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Basic Definitions fluid anything that flows liquid
definite volume, indefinite shape gas indefinite volume, indefinite shape
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Pressure force per unit of area - measured in pascals (Pa)
pounds per square inch (psi) torr atmospheres (atm) millimeters of mercury (mm Hg) kilopascals (kPa) millibars (mb) - conversion factors 1 atm = 760 torr = 1013 mb = kPa = 14.7 psi = 760 mm Hg - increases if force increases or area decreases
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P = F ÷ A Pressure Equation #1 key: P = pressure (in Pa)
F = force (in N) A = area (in m2)
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Pressure and Depth in a fluid, depends on depth
more fluid above increases the force pressure is exerted in all directions
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P = rgh Pressure Equation #2
key: P = pressure (in Pa) = density (in kg/m3) g = 9.81 m/s2 h = depth (in m)
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Boyle’s Law for an enclosed gas, an increase in pressure will decrease the volume if the pressure is doubled, the volume is cut in half
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P1V1 = P2V2 Boyle’s Law Equation
Key: P1 = pressure at beginning V1 = volume at beginning P2 = pressure at end V2 = volume at end
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Real World Applications
Air Pressure air in atmosphere has a weight (3 square feet = roughly 220,000 pounds) measured with a barometer Two Types wet - tube of liquid inverted in a dish increases in outside pressure force more liquid up the tube aneroid - partial vacuum can increase in outside pressure causes can to collapse more
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Barometers invented by Evangelista Torricelli in 1643
• filled tube with mercury • inverted tube in dish of mercury • column of mercury fell so that it was 760 mm tall • the area above the column of mercury is a vacuum • if he used water, the tube would have been 10.3 m tall • maximum useful straw length is 10.3 m • water will not rise more than meters because of air pressure
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Mercury Barometer
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Water Pressure pressure increases with depth
submarines made of steel to withstand the pressure on all sides caissons for Brooklyn Bridge needed to be filled with compressed air to prevent being crushed by the water around them dams are wider at the bottom to resist increased pressure
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Boyle’s Law air bubbles expand as they rise through water
divers do not hold their breath as they rise or their lungs will explode
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