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Bernoulli’s, Pascal’s, & Archimedes’ Principles Principles of Fluids
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Bernoulli’s Principle As the Velocity (speed) of a fluid increases, the Pressure exerted by the fluid decreases Why?
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This explains one of the forces that make an Airplane Fly FOUR Airplanes have FOUR basic forces acting on them: THRUST GRAVITY DRAG LIFT LIFT can be explained using Bernoulli’s Principle. LIFT THRUST GRAVITY DRAG
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Cross section of an Airplane Wing Higher Pressure Lower Pressure
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Venturi Effect As the size of a fluid’s pathway decreases, the velocity of the fluid increases.
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Buoyant Force The upward force of a Fluid exerted on an object. What is the downward Force exerted on an object? Gravity
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Archimedes’ Principle The buoyant force on an object in a fluid is equal to the weight of the fluid displaced by the object
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Archimedes (Example #1) Mass = 20g Volume = 20ml Mass of Fluid= 20g
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Archimedes (Example #1) Gravity = 20 Buoyant Force = 20 Neutral Buoyancy
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Archimedes’ (Example #2) Mass = 50g Volume = 20ml Mass of Fluid= 20g
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Archimedes (Example #2) Gravity = 50 Buoyant Force = 20 Negative Buoyancy
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Archimedes’ (Example #3) Mass = 30g Volume = 60ml Mass of Fluid= 60g
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Archimedes (Example #3) Gravity = 30 Buoyant Force = 60 Positive Buoyancy
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Pascal’s Principle Pressure applied to one place of a fluid is transmitted unchanged throughout the fluid.
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Pascal’s Principle Liquid What is pressure? What type of fluid works best for this principle? Explain your answer. P = Area Force
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Pascal’s example AB Area of A = 8 cm 2 Area of B = 50 cm 2 Force = 10,000 N Force ?
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Break down the problem: AB P = Area Force 1 st solve for P in B P = 50 cm 2 10,000 N P = 200 N cm 2
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Break down the problem: AB 2 nd solve for F on A P = Area Force F =P x A F = 200 N cm 2 x 8 cm 2 F =1600 N
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