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Bernoulli’s Principle
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What does Bernoulli’s principle state?
The pressure of a fluids flowing horizontally decreases as the speed of the fluid increases. Only applies for steady flow Flow follows streamlines
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Like the work/energy theorem: if we have information like pressure, speed or height about 1 region, we can find out information about another region.
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REGION 1 REGION 2
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Common Applications
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Bernoulli & Flight Bernoulli’s Principle is what allows birds and planes to fly. The secret behind flight is ‘under the wings.’
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AIRFOIL On top: greater air speed and less air pressure
On bottom: less air speed and more air pressure net force: upward
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LIFT THRUST DRAG GRAVITY
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Bernoulli & Racecars Spoiler provides better traction and avoids lift
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SPOILER – airfoil reversed -
less air speed more pressure net force: downward greater air speed less pressure
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Other Applications
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Paper Lift What happens to the paper when you blow across the top?
Paper rises Why? Breath speeds air molecules which decrease pressure on top of paper The pressure under the paper pushes the paper up
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Inverted Umbrella Use Bernoulli’s principle to explain why your umbrella inverts on a windy day. Wind blows on top of umbrella Air molecules speed up on top f umbrella; therefore, pressure decreases on top of umbrella Air under umbrella which has greater pressure pushes up and inverts umbrella
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Shower Curtain Use Bernoulli’s principle to explain why your shower curtain blows inward with a hot shower. Hot inside shower Air molecules speed up inside shower; therefore, pressure decreases inside shower Air outside shower with more pressure pushes shower curtain in
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