Gravity of Torus: Understand Its Impact on Shape & Movement

In summary, the conversation discusses the concept of a torus and its gravitational effects. It is debated if a perfect sphere placed at the center of the hole in a stationary torus would remain in place, and if one could walk on a torus without gravity affecting different areas. It is also mentioned that the calculation of gravity on a torus is complicated due to its shape and mass distribution.
  • #1
energyflash
6
0
Hi!

This may not be the right place for it but I have a question about the torus.

In the centre point, the exact middle of the hole in the torus if a let's say, a perfect sphere was placed there, would it simply stay in the one place if everything was stationary?

Also could you walk all over a torus without the gravity of one area affecting another, or would this depend on the size of the hole? For example if you were walking toward the inside of the torus, when you got to the exact middle point, would you be affected by the gravity on the opposite side of the hole to where you are standing?
 
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  • #2
a torus is like a doughnut right?
 
  • #3
In the centre point, the exact middle of the hole in the torus if a let's say, a perfect sphere was placed there, would it simply stay in the one place if everything was stationary?
yes, assuming uniform density of the torus.

As for your other question, the gravity at any point is the sum (integral) of all the mass of torus, using the inverse square law. It is a fairly complicated calculation.
 

1. What is a torus and how does it impact gravity?

A torus is a geometric shape that resembles a donut with a hole in the center. Its impact on gravity is that it creates a circular gravitational pull around its center, similar to how a planet's mass creates a gravitational pull on objects around it.

2. How does the shape of a torus affect its movement?

The shape of a torus affects its movement because it creates a constant circular motion around its center. This means that objects within the torus will experience a circular acceleration, causing them to move along the surface of the torus rather than towards its center.

3. Can the gravity of a torus be manipulated or changed?

Yes, the gravity of a torus can be manipulated or changed by altering the mass or size of the torus. This will affect the strength of the gravitational pull and the speed of the objects moving within it.

4. How is the gravity of a torus different from that of a planet?

The gravity of a torus is different from that of a planet because it is not created by a single, concentrated mass at its center. Instead, the gravitational pull of a torus is created by the combined mass of the entire shape.

5. What are some real-life examples of the gravity of a torus?

One example of the gravity of a torus can be seen in the movement of particles within a particle accelerator. The circular shape of the accelerator creates a toroidal path for the particles to follow. Another example is the movement of stars within a galaxy, which can be modeled as a toroidal shape with a central black hole creating a gravitational pull on the stars.

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