It's About Time
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Any questions? |
Contents:
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A Fermi question (or Fermi problem) is a question that requires some kind of numerical answer that requires a great deal of estimation and thought, but can be figured very quickly with a only few pieces of limited information. Often, the answer seems to be impossible to know at first glance, but upon some consideration it's possible to put pieces of known information together to come up with the correct answer. For example, if you were asked to figure out the number of gallons of ice cream consumed in Utah in one year, you could first think about the population of the state (about 2 million), and then the amount of ice cream an average person might eat in a week (about a cup, maybe), and then the number of weeks in a year (about 52). Doing some easy rounding, you could multiply the population by the number of weeks by the number of gallons: 10^6 people * 10^(-1) gallons (per cup) * 10^2 weeks per year = 10^7 gallons. Even though each of the numbers used in this calculation was severely rounded to the nearest order of magnitude (multiple of ten), the answer comes out remarkably close to the actual amount. (Ref: The Deseret News; Feb. 8, 2002). In addition, if you make a mistake in any one of your estimations, they are often corrected in the end by the rounding and/or by the mistakes in other estimations.
My set of Fermi questions are varied in difficulty and the background knowledge required. I ask 30 questions, and I expect that everyone should get some of them right, and no one should get all of them right. The point is to see how many you can complete and get right in a limited amount of time. With a little bit of practice, you'll probably get pretty good at thinking this way.
Here is what I used in the March 6, 2004 event for the Utah Science Olympiad:
| The "official" set of Fermi Questions | |
| And the answers (These are my answers. For all of them, I either did the calculation myself a few different ways and/or looked up actual data from a variety of references. Please let me know if you have questions about any of these.) |
Here are some other links and resources:
| Science Olympiad rules | |
| Science Olympiad guide | |
| A library of Fermi questions | |
| Hampton University's collection | |
| Physics Fermi problems from University of Maryland | |
| A bunch of facts that can be useful when inventing Fermi problems. |
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Held on April 5, 2003, the Balloon Race gives students the opportunity to demonstrate their knowledge of physical science, measurement skills, and simple construction techniques. Competitors in the Balloon Race should be able to
| demonstrate the skillful use of a balance; | |
| demonstrate an understanding of the concepts of density, weight, mass, and area; and | |
| demonstrate careful measurement and construction techniques. |
In the spirit of being able to demonstrate these, students are not given explicit "steps" telling them how to make their measurements, and they are not allowed to bring in notes. They may bring a pencil and a calculator.
Link here to see a copy of this year's event sheet.
For more advice and info, see the Balloon Race resources provided by the official Science Olympiad web site. I use a scoring system very similar to the suggested scoring sheet found there.
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Here are some images of the Balloon Race (formerly known as "Physical Science Lab") competition held on March 9, 2002 at Weber State University. Also, you might be interested in the official competition handout/scoresheet that was used.
[Click on any of the thumbnails for the full-size image.]
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The 2001 Utah Science Olympiad Physical Science Event (March 3rd) featured the following events. Click on an image to open its corresponding experiment. (Link here to view the cover sheet.)
Here are some other pictures of the events. Maybe you are in one of the pictures! |
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The following links describe the three experiments within the physical science lab event for 2000:
| Cover sheet | |
| Experiment 1: Orbitz | |
| Experiment 2: The Density of Washers | |
| Experiment 3: A Simple (?) Machine! |
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Last update: 08/03/2004