Gravity in the center of the Earth (a confusion)

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Discussion Overview

The discussion centers on the concept of gravity at the center of the Earth, exploring the reasoning behind the assertion that it is zero, and examining the implications of geological variations and approximations in physics. Participants engage in theoretical considerations and the potential effects of uneven mass distributions on gravitational measurements.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants assert that gravity at the center of the Earth is zero due to equal forces acting in all directions, but question whether geological variations could create an imbalance.
  • Others argue that the contribution of the Earth's crust to the overall gravitational center is negligible, suggesting that local variations do not significantly affect the theoretical model.
  • One participant proposes that while the model assumes uniform density and spherical shape, real-world geological changes could shift the point where gravity is zero, although this shift may be minor.
  • Another participant emphasizes that physics often relies on approximations, questioning the necessity of precise definitions and measurements of gravity at the center.
  • A suggestion is made to define the center of the Earth as the point where gravity is zero, leading to a later mention of the earth-moon barycenter as a potential alternative reference point.

Areas of Agreement / Disagreement

Participants express differing views on the implications of geological variations on the concept of gravity at the Earth's center, with no consensus reached on the extent of these effects or the validity of the zero-gravity assertion.

Contextual Notes

Limitations include assumptions about uniform density and spherical shape in theoretical models, as well as the unresolved nature of how geological formations might influence gravitational measurements.

Allen_Wolf
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I have learned that the gravity at the center of the Earth is zero. I guess its because it gets balanced as the force from all the sides are equal in magnitude and opp in direction. But several land forms throughout the world having different masses could cause a distortion which could make an imbalance on the gravity at the centre of the earth. I mean there will be some gravity at the center right?. Then why is it said to be zero ?
 
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I think that although there are parts of the crust which are composed of marginally denser material than other parts, the crust is a very small part of the overall volume of the planet, so it's contribution to the where lies the center of gravity for the planet is negligible.
 
Allen_Wolf said:
But several land forms throughout the world having different masses could cause a distortion which could make an imbalance on the gravity at the centre of the earth. I mean there will be some gravity at the center right?. Then why is it said to be zero ?

actually when you theorize the whole situation an uniform average density and spherical shape is taken as a model.
but when you get to real situation the changes in gravitational force will be observed on the Earth's surface also due to uneven mass formations that's why the real shape is different and due to geological changes in such a great/large time span of cooling and spinning a semi-equilibrium has been attained -therefore in equilibrium condition of real Earth the g=0 may get shifted - but in all rough model calculations we take the gravity to be zero at the centre as the shift may not be so large to account for.
another example is we take Earth as inertial frame - non accelerating system in usual calculations of speeds on Earth but when actual rotational effects become important we treat Earth as accelerating frame.
 
Physics is all about approximations. (Queue the spherical cow joke.) It's not wrong to make an approximation, unless yourv application requires a level of accuracy higher than the approximation allows.

How accurately do you need to know the gravity at the center of the Earth? (How do you even define where the center is?)
 
Allen_Wolf said:
I have learned that the gravity at the center of the Earth is zero. I guess its because it gets balanced as the force from all the sides are equal in magnitude and opp in direction. But several land forms throughout the world having different masses could cause a distortion which could make an imbalance on the gravity at the centre of the earth. I mean there will be some gravity at the center right?. Then why is it said to be zero ?

Perhaps you could define the centre of the Earth as the point where gravity is 0.
 
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Then I think that would be the earth-moon barycenter.
 

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