Questions tagged [fermi-problem]

Fermi problems are questions where rough answers can be estimated from basic principles using little information.

Fermi problems (also known as "Fermi questions" or "Fermi estimates") are questions whose answers can be estimated from basic principles such as dimensional analysis using relatively little information. They are named after physicist Enrico Fermi who was famous for his ability to make quick estimates.

In some cases, Fermi problem may have a rigorous solution using detailed theory and information that is not immediately available, but sometimes when there is no adequate theory or data, a Fermi estimate is the best one can do. Fermi estimates are also very useful in providing reality checks for more complex theory, computations, or experiments.

Fermi problems are often order-of-magnitude estimates, but the majority of questions on Physics SE currently tagged order-of-magnitude are not Fermi problems, but instead use "order of magnitude" in another context, so it is useful to have a separate Fermi-problem tag.

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How many of the molecules that you inhale in a breath did Caesar exhale in his dying breath, on average? - Does this question make physical sense?

There is a nice example of a Fermi estimation question where you ask: How many of the molecules which Julius Caesar (or Jesus, Muhammad, etc. — anyone who died a long time ago) exhaled in their dying breath do you inhale when breathing, on average.…
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How did Enrico Fermi calculate the classical Fermi Problem?

From Wikipedia: Fermi was known for his ability to make good approximate calculations with little or no actual data, hence the name. One example is his estimate of the strength of the atomic bomb detonated at the Trinity test, based on the distance…
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How efficient is the Crookes radiometer?

I remember many years ago, I think at 8th grade, seeing the teacher show us a Crookes radiometer. I remember it being very fascinating. Today I read the wiki article on it, after looking up what it was called, but the article wasn't very clear in my…
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A Fermi-question: Are there more stars than grains of sand?

This claim is pretty popular in the web and obviously cannot be answered by counting grains or stars. Thats what physicists call a Fermi-question. It deals with problems/questions where we dont have at all/enough measurement data to calculate a…
Hauser
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How much gravity to make lead flow?

Lead is solid at room temperature. But it is quite soft, so under strong enough gravity, it should be possible to pour it out of a container like sand. What gravity is that? Let's do a Fermi estimate. I know little of material science, but this…
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Is there a Fermi estimations toolbox?

I am a theoretical physics student and am a little ashamed at my inability to estimate any measurable quantity. I would like to develop my skills at Fermi estimations. Although it is hopeless to start memorising physical constants, I would like to…
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Fermi estimate for ice nucleation timescale

My friends in a Cryo-EM lab freeze their very samples quickly, a process they call vitrification. The timescale for this process is milliseconds (from wikipedia): The production of amorphous ice hinges on the fast rate of cooling. Liquid water must…
Hooked
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Entrainment of air and timekeeping of a mechanical watch at high altitude (problem attributed to A. H. Compton)

S. K. Allison told1 this Fermi problem: During the war, Professor A. H. Compton, Enrico Fermi, and I [Allison] were traveling together to visit the Hanford Plutonium Plant in the state of Washington. The hours seemed to drag, crossing the…