Madeburg’s Hemispheres from 1657 Revisited

  • Thread starter Roger900
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In summary: This is because the atmospheric pressure is greater then the pressure inside the sealed cylinder. At a vacuum of 0 psi, the atmospheric pressure would be equal to the pressure inside the cylinder.
  • #1
Roger900
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Hello Specialists in Physics!
Way back in 1657, von Guericke in Madeburg Germany demonstrated the tremendous force of atmospheric pressure by placing two large hemispheres together, evacuating the air from inside, and hitching a team of horses to each hemisphere. The horses were unable to pull the hemispheres apart. In fact, it took four teams straining on each side to break the vacuum seal.
What if von Guericke's experiment was performed today, but instead the set-up was a horizontally mounted cylinder with 2 pistons in the cylinder. Assume the pistons have pneumatic seals that provide zero vacuum leakage, but the seals do have a maximum PSI point before failure. Assume the pistons are separated 1” apart, and in this 1” cavity a 95% vacuum was drawn, and then the cavity is sealed. How much force would be required to “pull” the pistons further apart? Can they even be pulled apart? At what force would the pneumatic seals fail?
Thanks,
Roger
 
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  • #2
I think the area of the pistons must be given. Only then, you can calculate the force being exerted due to the air. (ie, F=P*A)
 
  • #3
Let's assume (1) the surface area of each piston is one square inch, (2) the piston seals have a 100 PSI rating, and (3) a 95% vacuum exists in the cavity which is equal to (0.95 * 14.69 PSI) = 13.95 PSI.

Here is where I get confused:

If each piston is receiving a vacuum of -13.95 PSI, but the seals will not fail until 100 PSI, would it not require a total force of 100 pounds to "pull" the pistons apart by making the seals fail?
 
  • #4
No. The seals fail when there is a 100 psi difference from one side of the piston to the other. Run them at anything less than 3100 psi in a 3000 psi environment, and they're fine.

All you get when you pull a 1 sq. in. piston from a sealed cylinder when in a normal atmosphere environment is a "pop" as the air moves into the evacuated volume of the cylinder.
 

Related to Madeburg’s Hemispheres from 1657 Revisited

1. What is Madeburg’s Hemispheres from 1657 Revisited?

Madeburg’s Hemispheres from 1657 Revisited is a famous map created by cartographer Johann Georg Klinger in 1657. It is a detailed representation of the Earth's hemispheres and was considered one of the most accurate maps of its time.

2. What makes Madeburg’s Hemispheres from 1657 Revisited significant?

This map is significant because it was one of the first to accurately depict the Earth's hemispheres. It also includes important information about the continents, oceans, and trade routes of the time period.

3. How was Madeburg’s Hemispheres from 1657 Revisited created?

Madeburg’s Hemispheres from 1657 Revisited was created using traditional cartography techniques, including surveying and mapmaking. It was based on the latest geographical knowledge and was constantly updated as new information became available.

4. What is unique about Madeburg’s Hemispheres from 1657 Revisited?

This map is unique because it was one of the first to use a polar projection, which allowed for a more accurate representation of the Earth's hemispheres. It also includes detailed illustrations of various animals and sea monsters, adding a decorative element to the map.

5. Where can I see Madeburg’s Hemispheres from 1657 Revisited?

Madeburg’s Hemispheres from 1657 Revisited can be viewed in various museums and libraries around the world, including the British Library and the Library of Congress. It is also available online through various digital collections.

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