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Airflow Algebra and Geometry - Contenido educativo
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NASA Connect Segment explaining air flow. The video describes how drag, lift, and thrust work.
Okay, here's the deal.
00:00:00
Van and I are gonna conduct a little experiment about drag
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using go-karts.
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Van and I are riding in the same kind of go-kart
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with the same amount of fuel.
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These are constants.
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However, Van is taller and heavier than I am.
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These two variables, height and weight,
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might affect the race.
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And hopefully, I'll cross the finish line first.
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I am the superior driver.
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I can't change my weight.
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But if I change the variable of being taller
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and crouch down and become more streamlined,
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I might have a chance.
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No way!
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How did you win?
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Let me explain, Jennifer.
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I changed my shape, which allowed the air to flow
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more smoothly around me.
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Your shape interrupted the airflow and caused drag.
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This slowed you down and allowed me to win.
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So, what is drag?
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Drag is the force that opposes or resists motion.
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The interruption or resistance to airflow causes drag.
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You've probably experienced drag when you've ever
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stuck your hand out the window of a moving car.
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When you extend your arm like this,
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with your palm forward,
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the force of drag pushes your hand back.
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But when you tilt your hand like this,
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it creates lift and lifts your hand upward.
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Lift and drag are a few of the aerodynamic forces
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that act on an airplane when it flies.
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How do airplanes fly?
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Well, to understand flight,
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you must first understand air.
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We are surrounded by air all the time,
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and we can't feel it because
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the air pressure is equal on all sides of our body.
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But what if we change the air pressure
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on one side of an object?
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Check out this cool experiment.
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Hey, why did the paper lift up
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when I blew across the top?
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Well, when the paper is resting against my chin like this,
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the air pressure on top is equal
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to the air pressure on the bottom.
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But when I blow,
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I change the air pressure on the top.
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The shape of the paper in its original position
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is kind of like an airplane's wing.
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It is curved on the top.
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Because of this shape,
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air molecules move faster across the wing's top
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than across its bottom.
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Swiss mathematician Daniel Bernoulli
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discovered that faster-moving fluids,
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such as air,
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exert less pressure than slower-moving fluids.
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Because of its shape,
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the air on top of the wing moves more quickly
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and exerts less pressure.
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When the pressure on top of the wing
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is less than the pressure under the wing,
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lift is produced, and the airplane flies.
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What does all this have to do with algebra and geometry?
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Everything!
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Geometry is the study of shape and size.
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Geometry was probably first developed
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to help measure the Earth and its objects.
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Knowledge of geometry helps you better understand things
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like engineering and science.
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Algebra is a mathematical tool for solving problems.
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Learning algebra is a bit like learning to read and write.
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Knowledge of algebra can give you more power
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to solve problems and accomplish what you want in life.
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At NASA, engineers use algebra and geometry
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when they measure and design models
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to be tested in wind tunnels.
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Like today's NASA engineers,
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Orville and Wilbur Wright used algebra and geometry.
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By blowing a certain amount of air
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over models in a wind tunnel,
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they tested and compared different wing shapes,
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rudder shapes, and propeller shapes.
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Hey, let's conduct an experiment
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very similar to the Wright brothers
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and test different shapes for drag.
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Good idea, Van, but first, teachers,
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make sure you check out the NASA Connect website
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and download the lesson guide for today's program.
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In it, you'll find step-by-step instructions
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and analysis questions for today's classroom activity.
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Van?
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- Valoración:
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- Idioma/s:
- Materias:
- Matemáticas
- Niveles educativos:
- ▼ Mostrar / ocultar niveles
- Nivel Intermedio
- Autor/es:
- NASA LaRC Office of Education
- Subido por:
- EducaMadrid
- Licencia:
- Reconocimiento - No comercial - Sin obra derivada
- Visualizaciones:
- 451
- Fecha:
- 28 de mayo de 2007 - 16:51
- Visibilidad:
- Público
- Enlace Relacionado:
- NASAs center for distance learning
- Duración:
- 04′ 08″
- Relación de aspecto:
- 4:3 Hasta 2009 fue el estándar utilizado en la televisión PAL; muchas pantallas de ordenador y televisores usan este estándar, erróneamente llamado cuadrado, cuando en la realidad es rectangular o wide.
- Resolución:
- 480x360 píxeles
- Tamaño:
- 24.81 MBytes