# How High Up Is Space?

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1 I11 How High Up Is Space? Activity I11 Grade Level: 5 12 Source: This activity was written by Andrew Fraknoi and is copyright 2010 by Andrew Fraknoi. Its first publication is in The Universe at Your Fingertips. Permission to use for any nonprofit educational purpose (such as distribution in one classroom) is freely granted. For any other use or publication, please contact the author at: fraknoi {at} fhda {dot} edu. What s This Activity About? How big is the Earth s atmosphere and where does space begin? This is a question that many students have trouble picturing and this activity helps them get a handle on the relative size of the Earth s atmosphere and the various ideas about where space starts. What Will Students Do? Students construct a scale model in which the height of Mount Everest is equal to the thickness (diameter) of a regular pencil. They then see where various things (such as airplane flights, the beginning of space, the Hubble Space Telescope, etc.) fit on the model. Tips and Suggestions Depending on the age and math skills of the students, you can either make the calculations a central part of the activity, or just give them the answers and allow the sense of wonder at the results to be the main thing they get out of it. We strongly recommend doing Extension 2 at the end of the activity if you can make time. Many students think the Earth s atmosphere is much thicker, relative to our planet s diameter, than it actually is. What Will Students Learn? Concepts Earth s atmosphere Air versus space Karman Line Inquiry Skills Calculating Measuring Predicting Comparing Visualizing Big Ideas Models and simulations Scale and structure Page 1

3 to recommend the right method of rounding.) Note to teacher: The scale works out to be that 1 km = 0.08 cm, 10 km = 0.8 cm, 100 km = 8 cm. In British and U.S. units, 1 mile = 0.05 in, 10 mi = 0.5 in, 100 mi = 5 in. 7. Once they have done the calculations, they can reclaim their group drawing and measure out where things actually go. Have a discussion of how their estimates compared to reality. Did space begin where they thought it would? Extension Activities: 1. For older students, hand out the Background Information sheet and then discuss the issue of how to define the beginning of space. Ask them what definition they prefer and to say why. 2. Now let s include the entire planet Earth. First ask the students to guess how big the diameter of planet Earth would be on our scale. After they have made their own estimates, you can ask them to calculate the size of the Earth on the Mt. Everest-pencil scale. Earth is 12,700 km or about 7,918 mi in diameter. The answer is that on our scale model the Earth would be 1016 cm = 10.2 meters or 395 inches = 33 feet wide. Give students time to react to this calculation. Explain that if the Earth is 10 meters or 10 yards wide, its atmosphere (the Karman line; see the Background Information sheet) is only 8 cm (about 3 inches) wide. Were the students surprised? Some teachers like to point out that if the Earth were shrunk to the size of an apple, the atmosphere would be the size (thickness) of the skin of the apple. Hubble Space Telescope in Space (NASA): copyright 2010 Andrew Fraknoi. Distributed by the Astronomical Society of the Pacific Page 3

4 How High Up is Space? Worksheet copyright 2010 Andrew Fraknoi, Astronomical Society of the Pacific. We want to figure out a scale model for how high up space begins. For our scale, we will make Mt. Everest, the highest mountain on Earth, the size of the width of a pencil (7 mm or 0.7 cm). On that scale, how high would airplanes, meteors, and the beginnings of space be? Name Height (km) Height (mi) Scaled Height (cm) Scaled Height (in) Mt. Everest /32 = 0.28 Where commercial jet aircraft fly Top of the Stratosphere (below which 99% of the Earth s air is found) Where meteors burn up 8 to 13 5 to to to 60 Where NASA says you get astronaut wings Karman Line the international boundary of space Hubble Space Telescope orbit Figuring Out the Scale: If 8.8 km is 0.7 cm, then each km is cm If 5.5 mi is 0.28 in, then 1 mile is in Show How You Calculated Your Scale: Page 4

5 Background Information: How High Up is Space? by Andrew Fraknoi (Foothill College and the Astronomical Society of the Pacific) Outer space is fun to think about but hard to pin down. Where exactly does the Earth s atmosphere end and outer space begin? Our atmosphere doesn t end in a neat boundary it just kind of thins out until its effects go away. So figuring out where to put the beginning of space is not so easy! Experts who have thought about this question disagree. Some people say we should start thinking of space where humans can t breathe any more, but this is probably too self-centered a definition. Also, people who live at high altitudes all their lives can breathe much thinner air than those who grow up near sea level. That means this definition would be different for different people. Furthermore, people fly in airplanes (whose cabins are pressurized) at much greater heights, and no one thinks that airplanes fly in space. Commercial jets fly at heights of 5 to 8 miles (8 to 13 km). So almost everyone agrees space should start higher than that. Another definition of where space begins has to do with how much of the Earth s air we are above. Scientists divide the atmosphere of our planet into several layers. The lowest layer, which starts at the surface, where we live, is called the troposphere and it goes up to an altitude of 4 12 miles (6 20 km). We don t give one height, because at the equator, where it s warm, the troposphere extends higher up than at the poles, where it s cold. About 80% of the Earth s air is in the troposphere. The next layer up is called the stratosphere, and it starts at the top of the troposphere and goes up to an altitude of about 30 miles (50 km). About 19% of our air The Earth s Atmosphere and the Moon, Seen from the International Space Station (NASA) is in the stratosphere. So by the time you are at the top of the stratosphere, you are above 99% of the Earth s atmosphere. Do you think that could be a good definition for where space begins? Most experts want to place the beginning even higher. An astronaut is someone who has gone into space, and the U.S. government gives astronauts their official designation when they have gone higher than 50 miles (80 km). On the other hand, most other countries demand an even greater height before certifying that a person has been in space. Their requirement is roughly 60 miles (100 km), which is called the Karman Line. Theodore von Karman, a Hungarian- American aerospace engineer, first suggested this in the 1950 s as the dividing line between the realms of aeronautics (the study of how things fly in air) and astronautics (the study of how things move in space). Above this line, von Karman calculated, airplanes, which are lifted by the pressure of air under their wings, would have to fly faster than the speed required to orbit the Earth to get enough lift. Today, the international organization that approves records for flight uses the Karman line to define where space begins. When in 1996, the X Prize Foundation established a prize (eventually called the Ansari X Prize) of \$10 million for the first non-government flight into space, they set the height required to win the prize to be the Karman line. The winner, Space Ship One, flew to a height of 112 km in October This was a case where 10 million dollars hung on the definition of where space began. Page 5

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