What Can We Expect for ADG in a Building Like This?

In summary, the Acceleration Due to Gravity (ADG) inside a building like the one mentioned (www.katrine-lester.dk/wp-content/Domus_vista_4-Small.jpg) would vary depending on the height. At the top, it would be positive (ex: +0.100 Micro Gal), almost zero at the center floors (around the 14th-16th), and negative at the ground floor (ex: -0.100 Micro Gal). However, it is also possible for option 2 to be true, where the ADG remains stable throughout the building. Option 3, where the ADG decreases from top to bottom, is also a possibility. It is difficult to determine the exact pattern
  • #1
Bjarne
344
0
Which pattern of Acceleration Due to Gravity (ADG) (approximately) shall we expect to measure inside a building like "www.katrine-lester.dk/wp-content/Domus_vista_4-Small.jpg"[/URL]
Notice the values I am asking for is primary the values caused by the buildings own gravity, not the one due to the free air gradient.

[B]Data[/B]
[LIST]
[*]Height 100 Meter
[*]Lenght 70 Meter
[*]Width 20 Meter
[*]Weiht (estimated) 40.000.000 KG
[*]30 floors
[/LIST]
-------------------------------------------------------------------------------------------------------------------------------
[B]1[/B]
[B]Would the ADG caused by the building itself be:[/B]
[LIST]
[*]Positive at the top for (for example + 0.100 Micro Gal)
[*]Zero, or almost zero at the Centre (14 th or 15 th and 16 th floor)
[*]Negative at the ground floor (for example minus 0.100 Micro Gal)
[/LIST]
-------------------------------------------------------------------------------------------------------------------------------
[B]2[/B]
Or shall we expect ADG [B]due to the buildings own gravity [/B]to be almost stable the whole way from the top to the bottom?
(for example + 0.100 Micro Gal)
-------------------------------------------------------------------------------------------------------------------------------
[B]3[/B]
Or shall we expect ADG [B]due to the buildings own gravity [/B] to decrease the whole way from the top to the bottom?
-------------------------------------------------------------------------------------------------------------------------------
[B]4[/B]
Or what shall we expect?
 
Last edited by a moderator:
Astronomy news on Phys.org
  • #2
Consider a spherical cow in vacuum, its gravity would be close enough to that of the building. Use symmetry arguments.
 
  • #3
Ich said:
Consider a spherical cow in vacuum, its gravity would be close enough to that of the building. Use symmetry arguments.

Shall I understand this as you think option 1 is the answer ?
 
  • #4
Up to signs, yes.
 
  • #5
Ich said:
Up to signs, yes.

I hope not everybody agrees, because this seems to be wrong.
 

Related to What Can We Expect for ADG in a Building Like This?

What is acceleration due to gravity?

Acceleration due to gravity is the acceleration experienced by a freely falling object due to the force of gravity. It is denoted by the symbol 'g' and has a value of approximately 9.8 meters per second squared.

What factors affect acceleration due to gravity?

The acceleration due to gravity is affected by two main factors: the mass of the object and the distance between the object and the center of the planet. The greater the mass of the object, the greater the force of gravity and thus, the greater the acceleration. Similarly, the closer the object is to the center of the planet, the stronger the force of gravity and the greater the acceleration.

Does acceleration due to gravity vary on different planets?

Yes, acceleration due to gravity varies on different planets depending on their mass and radius. For example, the acceleration due to gravity on Earth is 9.8 m/s², while on Mars it is 3.7 m/s². This means that objects will accelerate faster towards the surface on Earth compared to Mars.

How is acceleration due to gravity measured?

Acceleration due to gravity can be measured using a simple experiment involving a falling object and a timer. By measuring the time it takes for an object to fall a certain distance, the acceleration due to gravity can be calculated using the formula: a = 2d/t², where 'a' is acceleration, 'd' is distance, and 't' is time. This experiment is known as the free fall experiment.

What are the real-world applications of understanding acceleration due to gravity?

Understanding acceleration due to gravity is crucial in many fields such as physics, engineering, and even sports. It helps in predicting the flight paths of objects, designing structures that can withstand gravitational forces, and improving the performance of athletes in sports such as high jump and long jump. It also plays a significant role in space exploration and understanding the motion of celestial bodies.

Similar threads

Calculating Acceleration Due to Gravity for a 96m Building
    • Other Physics Topics
Replies
17
Views
3K
A "The 7 Strangest Coincidences in the Laws of Nature" (S. Hossenfelder)
    • Beyond the Standard Models
Replies
32
Views
755
What if Gravity could be controlled?
    • Sci-Fi Writing and World Building
Replies
2
Views
2K
Can Gravity Fields really cause Time-Dilation-Effects inside of them?
    • Special and General Relativity
Replies
14
Views
2K
Writing: Read Only What Does Great Lakes Earth Look Like from Space?
    • Sci-Fi Writing and World Building
Replies
1
Views
3K
How Does Great Lakes Earth's Geography Differ from Our Own?
    • Sci-Fi Writing and World Building
Replies
2
Views
2K
GR. Mach and cosmic redshift
    • Special and General Relativity
Replies
13
Views
3K
Kerbal Space Program - Rocket Design Basics
    • Aerospace Engineering
Replies
2
Views
7K
Mathematica This Week's Finds in Mathematical Physics (Week 228)
    • MATLAB, Maple, Mathematica, LaTeX
Replies
2
Views
2K
Mathematica This Week's Finds in Mathematical Physics (Week 228)
    • MATLAB, Maple, Mathematica, LaTeX
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top