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zakruti.com » Knowledge, science, education » Numberphile
Earthquakes, Circles and Spheres - Numberphile

Earthquakes, Circles and Spheres - Numberphile

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Rating: 4.0; Vote: 1
Earthquakes, Circles and Spheres LMacNeill: A similar type of calculation is used to determine your position on the surface of the Earth using signals from GPS satellites. Your GPS receiver knows how long it took for the signal to reach you from each of 3 satellites, which tells it that you are a certain distance from each of those satellites. It knows that your position relative to each individual satellite is on the surface of a sphere of the radius it calculated based upon the amount of time it took for the satellite's signal to reach it. It then uses calculations similar to the calculations that the professor spoke of to determine where those spheres all intersect. It gets two results, too. One on the surface of the Earth and one in space. Clearly it throws out the one in space, just like the geologists do with the seismograph calculations. By doing these calculations many times per second, it can tell that you are moving along the surface, and what your speed is.
Date: 2022-04-09

Comments and reviews: 9


I'd show this to my A-Level Geology teacher, but it's not a taught subject at my old sixth form anymore: .
Interesting little nugget for anyone interested. The epicenter of an earthquake is the location on the Earth's surface that the earthquake emerges i. e. the location you would point to on a map.
The focus of an earthquake is the point in 3D-space within the bedrock that caused the slip that created the earthquake i. e. the point from which all the shockwave energy emanates.

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I don't get the whole -2 waves- thing. I've experienced several tremors and one big earthquake in my life. The big one I felt last September 19th 2017, in Mexico City. Everybody felt first a vertical leap and immediately afterwards the whole ground started shaking.
Over here it's common -knowledge- the -fact- that earthquakes can come in one of two ways: trepidatory OR oscillatory. I heard somewhere that this has been debunked, but I'm still not convinced either way.

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Average 3 years old European/American baby:
. learns how many fingers there are in one hand (maybe, never sleeps.
Average 3 years old Japanese baby:
- CAN CALCULATE THE LOCATION OF AN EARTHQUAKE'S HYPOCENTER AND ITS MAGNITUDE
- KNOWS THE SPEED OF DIFFERENT TYPES OF WAVES THROUGH SEVERAL SOLIDS, LIQUIDS AND GASES
- UNDERSTANDS TRIANGULATION, TRILATERATION AND GPS
- CAN ACTUALLY SLEEP LIKE A BABY

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If i understood correctly he mentioned the spheres' centers had to be on the same horizontal plane. In the case of real seismological stations that's almost impossible i assume. Is the theorem still valid or you just apply as if it were and its just a small rounding error?
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The two-points theorem at the end really matters for another application of this method: GPS!
Knowing how close you are to three satellites lets you reduce your location to two possibilities, you need line-of-sight to four satellites to get down to one point

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-Usually we don't get Earth quakes from above. - Unfortunately, some examples of this killed hundreds of thousands of Professor Tadashi's countrymen, women, and children. Let us hope humanity never again unleashes the atrocity that is the power of atomic weapons.
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I love all your videos and i would really like if you guys could make a video on conical spirals or helixes because my understanding of math isn't advanced enough to understand the papers on the matter.
Best regards Juan M.

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10: 18 I have found that my -P- waves happen almost immediately whereas it takes a minute or two for me to produce an -S- wave. The -S- waves hit harder, all at once, while the -P- waves tend to be constant.
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Tadashi reminds me of Feynman and some old infamous german orator. He explains things in a way that makes them sooooo obvious and yet 5 minutes later you are astounded that you could think that way.
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