Gravity and Rotation: Understanding the Influence of Speed on Planetary Force

  • Context: Undergrad 
  • Thread starter Thread starter mitch bass
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Discussion Overview

The discussion centers on the relationship between a planet's rotation speed and the gravitational force it exerts. Participants explore whether centrifugal force plays a role in this relationship and how it compares to the concept of artificial gravity experienced on a space station.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • Some participants propose that the speed of rotation does affect gravitational force, albeit very slightly, due to centrifugal force.
  • Others argue that gravitational force is independent of a planet's rotation, asserting that it depends solely on mass and distance from the planet's center.
  • A participant clarifies that while centrifugal force can reduce the apparent weight on a scale, it does not change the actual gravitational force.
  • There is a discussion about the terminology used for gravity created by rotation, with some preferring "simulated gravity" over "artificial gravity."
  • One participant questions whether the rotational momentum of a planet contributes to gravitational force, linking it to energy density and mass.
  • Another participant mentions the negligible mass increase due to rotation, referencing the mass-energy equivalence principle (E=mc²).
  • Clarifications are made regarding the orientation of individuals in a space station and the requirements for creating uniform gravitational effects through rotation.

Areas of Agreement / Disagreement

Participants express differing views on the influence of rotation on gravitational force, with no consensus reached on the relationship between centrifugal force and gravity. The discussion remains unresolved regarding the impact of rotational momentum on gravitational effects.

Contextual Notes

Limitations include the lack of specific calculations regarding the mass added by rotation and the dependence on definitions of gravity and centrifugal force. The discussion also highlights the complexity of gravitational perception versus actual gravitational force.

mitch bass
When determining the force of gravity that a planet exerts, is the speed of rotation a factor? If so is this because of centrifugal force? Yet is it not so that on a space station that creates centrifugal force, the attraction created is considered artificial gravity?
 
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Yes, it has an effect, but the effect is very small (I can't remember offhand how small exacly). And yes, it works the same way as on a space station (except of course you are inside, not outside).
 
No, the gravitational force does NOT depend in any way upon the rotation of a planet.

It is true that when you stand on a scale the reading is slightly LESS than the actual force of gravity: the "centrifugal force" directed away from the center of the planet offsets the gravitational force very slightly. However, it is still true that the actual gravitational force depends only on mass and distance from the center of the planet.
 
Originally posted by mitch bass
Yet is it not so that on a space station that creates centrifugal force, the attraction created is considered artificial gravity?

I wouldn't call it artificial gravity but simulated[i/] gravity. Locally, it behaves like a lot like gravity, but has a different origin.
 
Originally posted by HallsofIvy
the "centrifugal force"
Sounds vaguely familiar. What causes it?
 
Originally posted by HallsofIvy
No, the gravitational force does NOT depend in any way upon the rotation of a planet.

It is true that when you stand on a scale the reading is slightly LESS than the actual force of gravity: the "centrifugal force" directed away from the center of the planet offsets the gravitational force very slightly. However, it is still true that the actual gravitational force depends only on mass and distance from the center of the planet.
Although perception of gravity on surface is one thing, I got a question from this angle:
mass is a form of energy, thus density of energy causes gravity. But rotational momentum of planet also stores some kind of energy. Does that rotational momentum add to gravity or not?
 
Well, yes, in that sense, increased energy add a little mass: have you calculated the mass added by the rotation of a planet?

It is, of course, m= E/c2. I think you find that negligible.

By the way, when you talk about a space station using rotation as an "artificial gravity" you are aware that people walk around on the INSIDE of the station with their heads toward the center? You make it sound as if you thought they would be walking around on the outside as on the earth.

Also, you cannot use centriugal force to create a uniform force on a sphere- you have to have a cylinder so every one is the same distance from the AXIS of rotation.
 

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