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Fluid Pressure
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Fluid Pressure What’s a fluid?
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Fluid: anything that flows
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Fluid: anything that flows
???
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like Liquids
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and Gases
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Pressure Notes (Continued)
Fluids: anything that flows (liquid or gas)
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PAUSE Q: Why should we care about fluid pressure?
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PAUSE Q: Why should we care about fluid pressure?
A: Air, weather, swimming, diving, dish washers, tires, heavy machinery, and our bodies all depend on fluid pressure.
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What does fluid pressure depend on?
Question: What does fluid pressure depend on?
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Let’s Find Out Imagine a diver trying to swim to the bottom of the ocean.
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Let’s Use the Equation for Pressure
Imagine a diver trying to swim to the bottom of the ocean.
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What is the force on the diver?
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The force on the diver is from gravity pushing on the water above the diver.
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Remember The force on the diver is from gravity pushing on the water above the diver.
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The force on the diver is from gravity pushing on the water above the diver.
So
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but… What is m?
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m is the mass of the water above the diver.
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Let’s Use Density to Find m
m is the mass of the water above the diver.
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Let’s Use Density to Find m
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We need to find an equation for m
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We need to find an equation for m
multiply both sides by V
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We need to find an equation for m
cancel out
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We need to find an equation for m
rewrite
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We found an equation for m
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Plug in our equation for m
m is the mass of the water above the diver.
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Now
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but… What is V?
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V is the volume of water above the diver.
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V is the volume of water above the diver.
height (h) Area (A)
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Now V is the volume of water above the diver.
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Reduce V is the volume of water above the diver.
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Finally
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Question (Answered): Q: What does fluid pressure depend on?
A: Since P = ρhg, pressure only depends on density and height.
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Your Turn Find the pressure at the bottom of the ocean.
The density of water is 1 g/cm3. The ocean is about 10,000m deep.
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