this post was submitted on 26 Nov 2023
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So, I learned in physics class at school in the UK that the value of acceleration due to gravity is a constant called g and that it was 9.81m/s^2. I knew that this value is not a true constant as it is affected by terrain and location. However I didn't know that it can be so significantly different as to be 9.776 m/s^2 in Kuala Lumpur for example. I'm wondering if a different value is told to children in school that is locally relevant for them? Or do we all use the value I learned?

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[–] [email protected] 2 points 1 year ago (1 children)

Could you explain to me why that last part matters?

[–] [email protected] 8 points 1 year ago* (last edited 1 year ago) (2 children)

I'm assuming they're indicating that the mass below the apparatus increased in fall (when storage was filled) and decreased slowly through the winter, leading them to measure a changed graviational constant. A back of the napkin calculation shows that in order to change the measured gravitational constant by 1 %, by placing a point mass 1 m below the apparatus, that point mass would need to be about 15 000 tons. That's not a huge number, and it's not unlikely that their measuring equipment could measure the gravitational acceleration to much better precision than 1 %, I still think it sounds a bit unlikely.

Remember: If we place the point mass (or equivalently, centre of mass of the coal heap) 2 m below the apparatus instead of 1 m, we need 60 000 tons to get the same effect (because gravitational force scales as inverse distance squared). To me this sounds like a fun "wandering story", that without being impossible definitely sounds unlikely.

For reference: The coal consumption of Luxembourg in 2016 was roughly 90 000 tons. Coal has a density of roughly 1500 kg / m3, so 15 000 tons of coal is about 10 000 m3, or a 21.5 m x 21.5 m x 21.5 m cube, or about four olympic swimming pools.

Edit: The above density calculations use the density of coal, not the (significantly lower) density of a coal heap, which contains a lot of air in-between the coal lumps. My guess on the density of a coal heap is in the range of ≈ 1000 kg / m3 (equivalent to guessing that a coal heap has a void fraction of ≈ 1 / 3.)

[–] [email protected] 3 points 1 year ago

Thank you for the very well detailed explanation, as well as the visual. Much appreciated!

[–] [email protected] 1 points 1 year ago (1 children)

À better question is why is a university still using coal heating in the modern age?

[–] [email protected] 2 points 1 year ago (1 children)

This observation further compounds the hypothesis of "fun wandering story that has been told from person to person for a long time"

[–] [email protected] 3 points 1 year ago

Fits in with the sinking library and Native American graveyard (though i believe that the exact second one may be regionally locked)