Fermi Problems6
Fermi Problems
Order Instructions:
This is problem to solve.
1. Look up the definition of a Fermi Problem in Wikipedia and summarize it.( 3-4 sentences)
2. Review Lawrence Krauss’s video “The Secret Life of Physicists” – link https://www.youtube.com/watch?v=LTie-g0xNQ8
1) Make up an outline of the talk (3-4 sentences)
2) Write up the details of the two Fermi Problems
1> Number of gas molecules in each of your breaths that you share with Julius Caesar.(1-2 sentence)
2>. Number of piano tuners in London(1-2 sentence)
3. Without using Google, find the number of grains of sand on the world’s beaches. You can use maps and globes, and the fact that the Earth has a radius of 6400 km. (1-2 sentence)
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SAMPLE ANSWER
Fermi Problems
A Fermi problem is an estimated problem that is used to dimensional analysis and approximation and is often a back-of-the-envelope calculation. This type of estimation technique was named after the physicist Enrico Fermi, who was widely known for his approximation calculation prowess and at times, with little or no data. Fermi problems are used to justify guesses about their quantities and variance. Enrico has received worldwide recognition for most of his accomplishments, but the major one is his contribution to the development of the atomic bomb.
The talk by Lawrence is significant for physicians primarily to understand Fermi problems. Lawrence gives his viewers a physicist’s perspective of the world. He does so with the help of experiments, for example, he drops a book and a paper and asks which fall first while giving the explanation why the book fell first.
There is a good chance that every time an individual breathes he/she takes in one molecule that was inhaled by Julius Caesar before his assassination. This was achieved using Avogadro’s number (6.02×10²³) and which multiplies the number of molecules in a single breathe and the atmosphere. The next step is finding out the volume of the atmosphere and through calculation arrives at the number of molecules that are consumed by each person.
The number of piano tuners in London varies from 50 to 125. This can be arrived by viewing the whole population in London and estimating the number of households that own one and calculating the number of houses that regularly tune a piano and how many times a piano can tune in a day.
Taking the number of major oceans in the world, say seven, plus any other beaches we would have an approximation of at least 10% of the 30 percent of land (more than 70% of the 6400km is water) would be sand beaches. This means that if we take a bottle cap to contain a million grains of sand, we would simply multiply this a million million million million times (24 zeros). Thus, the grains of sand would be as stated above.
Reference
Krauss, L. (2008). Commentary: World Lines by Lawrence Krauss. New Scientist, 198(2653),
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