Fermi Questions C
- Angstrom
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Re: Fermi Questions C
This event is going to be fun. If any of you are interested in a more precise and less "silly" (by that I only meant the type of problems) form of Fermi - i.e. the original Fermi problem with the atomic bomb, and things like that, you should check out Caltech's Order of Magnitude Physics class - http://www.its.caltech.edu/~oom/ is the link. I don't think it's a good study resource for Fermi as an event, but it's fun to go through, and for me, that's more important.
And by the way, 70! is 10^106. I say this because a couple months ago, I was evaluating factorials and my calculator stopped at 66 or 67 factorial, suggesting that that's where you hit 10^100, so sqrt(67) * 68 * 69 * 70 = 70^3.5 = 343000 * sqrt(70) = 3e6.
And by the way, 70! is 10^106. I say this because a couple months ago, I was evaluating factorials and my calculator stopped at 66 or 67 factorial, suggesting that that's where you hit 10^100, so sqrt(67) * 68 * 69 * 70 = 70^3.5 = 343000 * sqrt(70) = 3e6.
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- quizbowl
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Re: Fermi Questions C
Actually, 70! is about 10^100.Angstrom wrote:This event is going to be fun. If any of you are interested in a more precise and less "silly" (by that I only meant the type of problems) form of Fermi - i.e. the original Fermi problem with the atomic bomb, and things like that, you should check out Caltech's Order of Magnitude Physics class - http://www.its.caltech.edu/~oom/ is the link. I don't think it's a good study resource for Fermi as an event, but it's fun to go through, and for me, that's more important.
And by the way, 70! is 10^106. I say this because a couple months ago, I was evaluating factorials and my calculator stopped at 66 or 67 factorial, suggesting that that's where you hit 10^100, so sqrt(67) * 68 * 69 * 70 = 70^3.5 = 343000 * sqrt(70) = 3e6.
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- Bogoradwee
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Re: Fermi Questions C
quiz is right. I just checked with the calculator on my computer. I got 1.198e100
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- lllazar
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Re: Fermi Questions C
Ok so i'm a bit perplexed right now by the answer key for this test:
Test: http://scioly.org/w/images/e/e2/2008_FermiWayzata.pdf
Key: http://scioly.org/w/images/c/cc/2008_Fe ... ataAns.pdf
Look at questions 2-4. The answers are completely wrong, or I am failing epically at math.
, and thus the answer for 2 should be . Look at 3 and 4 as well, they should be and respectively....
Test: http://scioly.org/w/images/e/e2/2008_FermiWayzata.pdf
Key: http://scioly.org/w/images/c/cc/2008_Fe ... ataAns.pdf
Look at questions 2-4. The answers are completely wrong, or I am failing epically at math.
, and thus the answer for 2 should be . Look at 3 and 4 as well, they should be and respectively....
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Re: Fermi Questions C
so for 2 it's actually saying 10 ^ (10^-10). 10^-10 is 1E-10, so the problem is really asking what is 10 ^(1E-10). 1E-10 is very close to 0 so your answer is 0. You just placed the parentheses incorrectly when you were doing it in your head.
3 is 10^(10^(10^-10)), 10^-10 is 1E-10, 10^(1E-10) is 1 as seen above, so the answer is 1.
4 is 10^(10^(10^(10^-10))), use the stuff from three to get down to 10^(10^1) which is 10^10 so the answer is 10.
I hope that helped. I think your only problem was your idea of where the parentheses would go.
3 is 10^(10^(10^-10)), 10^-10 is 1E-10, 10^(1E-10) is 1 as seen above, so the answer is 1.
4 is 10^(10^(10^(10^-10))), use the stuff from three to get down to 10^(10^1) which is 10^10 so the answer is 10.
I hope that helped. I think your only problem was your idea of where the parentheses would go.
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- lllazar
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Re: Fermi Questions C
Thanks
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Hooray for getting everything i wanted?
Fossils (Regionals ~1st) (State ~6th)
Towers (Regionals ~1st) (State ~3rd)
Helicopter (Regionals -3rd gahhh) (State ~5th)
Wind Power (Regionals ~1st) (State ~3rd TIERED!)
Hooray for getting everything i wanted?
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Re: Fermi Questions C
So for this event, will all of the problems be solved by multiplying stings of unit conversions? Or may there be a problem such as how many years will it take for the population to reach 1 trillion? (growth rate formula + conversions)quizbowl wrote:Just a writing utility. Nada mas.zxcvb wrote:Are you allowed anything in with you (paper, pencil, calculator)?
Just want to make sure because some of the questions asked in the "fermi questions marathon" do not only involve multiplication.
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Re: Fermi Questions C
I would personally be prepared for more than simple multiplication and conversion problems, as the rules never specifically limit it to them.
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Re: Fermi Questions C
"In science, particularly in physics or engineering education, a Fermi problem, Fermi question, or Fermi estimate is an estimation problem designed to teach dimensional analysis, approximation, and the importance of clearly identifying one's assumptions."Schrodingerscat wrote:I would personally be prepared for more than simple multiplication and conversion problems, as the rules never specifically limit it to them.
-http://en.wikipedia.org/wiki/Fermi_problem
So I guess it could be more complicated than just unit conversions and multiplication. But so far, all of the sample problems haven't been more complex than that.
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- quizbowl
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Re: Fermi Questions C
I found it hilarious that the Training Powerpoint is basically the wiki (exactly copied word for word at points) in powerpoint format
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