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Subido el 28 de mayo de 2007 por EducaMadrid

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NASA Connect Segment exploring more aspects of the Personal Satellite Assistant. It explains motion and its relationship with the mass of objects in connection to the PSA.

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Now it's your turn to try the online activity found at the NASA Connect website. 00:00:00
Your challenge is to get the PSA to the overheated racks before the time runs out. 00:00:04
Each click gives the PSA one unit of force in the direction of the arrows. 00:00:10
Remember Newton's Law. The PSA will keep moving unless you apply another force to it in the opposite direction. 00:00:16
Your teacher will now pause the program so that you can go to your computers and check out the activity. 00:00:24
I gave the PSA too much force. It hit the side of the ISS. 00:00:30
The PSA keeps moving after you have applied a force to it. 00:00:35
You have to apply a force in the opposite direction to stop the PSA. 00:00:39
Newton also had something to say about motion and the mass of objects. 00:00:44
The more massive an object is, the more force is required to accelerate it or to stop it. 00:00:48
So if the PSA is very massive, for instance, it's going to take a lot of force to get it moving and a lot of force to stop it. 00:00:53
You're right. The greater the mass of the PSA, the more force it takes to slow it down. 00:01:01
The fans have to work harder. If we make the PSA lighter, it requires less force to slow it down and to stop it. 00:01:05
If the PSA was going to go too fast, it might bump into the side of the ISS. 00:01:11
So we need to make the PSA as light as possible. 00:01:16
The model that you see here is the 12-inch working prototype. 00:01:19
Our goal is to reduce the PSA size down to this 8-inch diameter model. 00:01:23
With the invention of the transistor, computers and other electronic gadgets became smaller and smaller. 00:01:28
That's right. You know, when our grandparents were kids, they listened to radios that were like large pieces of furniture. 00:01:33
Today, radios and digital players are really tiny. 00:01:40
That's right. A computer with the same power as this PDA filled this huge room. 00:01:43
The PSA has a computer inside it. 00:01:47
And in addition, the PSA can connect to computers on the space station or on Earth with a wireless connection and use the computing power of those computers. 00:01:49
So the PSA can be small because it doesn't need a big computer inside of it. 00:01:57
But why is it round? And how do you make the shell round? 00:02:02
Round shapes don't have any sharp corners, so the PSA won't accidentally damage the ISS. 00:02:06
We designed the round shell with a computer program for solid modeling. 00:02:11
Once the design is complete, we send an electronic file to the manufacturer to create a shell. 00:02:15
The process is called stereolithography, or SLA. 00:02:20
To make the PSA smaller, we need to redesign and shrink the parts in the PSA so that they fit into a smaller sphere. 00:02:24
Wait a minute. I don't know if that's the best way to do it. 00:02:31
When we make things smaller, though, we have to keep some things in mind. 00:02:35
For example, the computer that's in the PSA needs to have space around it so that it can stay cool. 00:02:38
The computer gives off its heat from the surface area of the board, which means we need to provide space for cooling. 00:02:43
Additionally, when we consider shrinking the fans to fit in a smaller PSA, 00:02:48
we discover they became very inefficient, forcing us to move to a blower design. 00:02:52
It's similar to how a leaf blower works. 00:02:56
Okay, guys, let's review some math concepts so you can figure out how to fit your parts into the PSA. 00:02:59
This is a rectangular prism. Now, each one of its six sides is a rectangle. 00:03:05
The surface area of the rectangular prism is the sum of the areas of the six sides. 00:03:11
The volume of a rectangular prism is the area of the base times the height of the prism. 00:03:17
Let's take a look at cylinders. 00:03:23
The base of a cylinder is a circle. 00:03:26
Let's take a look at the parts of a circle. 00:03:29
The circumference is the distance around a circle. 00:03:32
The radius is the distance from the center of a circle to any point on the circle. 00:03:36
The diameter of a circle is twice the radius. 00:03:41
Thousands of years ago, mathematicians measured the circumference of circles and divided the circumference by the diameter. 00:03:45
They always came up with the same number, around 3.14. 00:03:53
This number is called pi. 00:03:57
Now, watch this and see how we can find the area of a circle. 00:04:00
We cut up the circle and move the pieces around. 00:04:05
Now, the area is the width times the height. 00:04:10
The width is pi times the radius, and the height is the radius. 00:04:13
The surface area of a cylinder is the sum of the areas of the two circles and the area of the side, which is really a rectangle. 00:04:18
The volume of a cylinder is the area of the circle times the height of the cylinder. 00:04:26
Now, here's the challenge. 00:04:32
Find the length, height, and width of a rectangular prism that has a volume of 24 cubic inches, 00:04:34
fits into an 8-inch PSA, and has as much surface area as possible. 00:04:42
Find out whether a tall cylinder or a wide cylinder has more surface area when the volume stays the same. 00:04:47
You can download the files for this activity from the NASA Connect website. 00:04:55
It's now time for your teacher to pause the program so you can take the challenge. 00:04:59
Use your imagination. Draw figures. Take measurements. Do calculations. 00:05:04
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Idioma/s:
en
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:
408
Fecha:
28 de mayo de 2007 - 16:51
Visibilidad:
Público
Enlace Relacionado:
NASAs center for distance learning
Duración:
05′ 09″
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:
31.06 MBytes

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