What Is the Gravitational Field Strength Within a Uniform Thin Disk?

  • Thread starter Thread starter tade
  • Start date Start date
  • Tags Tags
    Disk
AI Thread Summary
The discussion centers on calculating the gravitational field strength (g) within a uniform thin disk, specifically in the context of dark matter and galaxy rotation curves. The user seeks to understand how g varies with distance (r) from the disk's center, noting that existing resources primarily address the z-axis rather than the x-axis, which is crucial for simulating galaxies. An integral approach was attempted to determine g, but it resulted in an infinite value, prompting the user to seek assistance in identifying the error in their calculations. The user is willing to share their step-by-step process for further analysis. This inquiry highlights the complexities of gravitational modeling in astrophysics.
tade
Messages
720
Reaction score
26
I'm researching dark matter and how it affects galaxy rotation curves, I came up with the problem below.

Imagine a very thin, flat disk which has uniform mass per unit area.

What is the gravitational field strength (g) within the disk itself? How does g vary with respect to r, the distance from the center of the disk.

The area density of the disk is δ and the radius of the disk is R.
 
Physics news on Phys.org
tdisc.gif


Most of the threads focus on the z-axis. But in order for me to simulate a galaxy, I have to focus on the x-axis.


I came up with an integral to find the value of g, but its value ends up being infinite.

I can write it down step-by-step to let you guys find out where I went wrong.
 
Thread 'Question about pressure of a liquid'

Thread 'Question about pressure of a liquid'

I am looking at pressure in liquids and I am testing my idea. The vertical tube is 100m, the contraption is filled with water. The vertical tube is very thin(maybe 1mm^2 cross section). The area of the base is ~100m^2. Will he top half be launched in the air if suddenly it cracked?- assuming its light enough. I want to test my idea that if I had a thin long ruber tube that I lifted up, then the pressure at "red lines" will be high and that the $force = pressure * area$ would be massive...
View full post »

Thread 'Why is the 3 body problem unsolvable? And what will happen if someone solves it?'

I feel it should be solvable we just need to find a perfect pattern, and there will be a general pattern since the forces acting are based on a single function, so..... you can't actually say it is unsolvable right? Cause imaging 3 bodies actually existed somwhere in this universe then nature isn't gonna wait till we predict it! And yea I have checked in many places that tiny changes cause large changes so it becomes chaos........ but still I just can't accept that it is impossible to solve...
View full post »

Similar threads

I Gravity inside an exponential mass disk
Replies
16
Views
2K
Why is electric field at the center of a charged disk not zero?
Replies
4
Views
3K
I A "continous" gravitational field formula r=0 to infinity
Replies
16
Views
589
I Integrating discs to find the gravitational force of a sphere
Replies
5
Views
4K
Potential and Electric Field near a Charged CD Disk
Replies
2
Views
2K
Electric Field due to a disk of radius R in the xy-plane
Replies
7
Views
2K
Electric field above a disk that equals half the max electric field
Replies
9
Views
2K
A Could gamma-ray bursts have an intragalactic origin?
Replies
29
Views
262
Moment of Inertia of a Rotating Disk
Replies
1
Views
2K
Gravitational Field Strength of 1
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top