Vacuum travel formula creation

In summary, the traveling time of a maglev train traveling in a vacuum can be calculated using the formula t=√(4s/g), where t is the time, s is the distance, and g is the acceleration. The acceleration should be chosen carefully to ensure a comfortable journey for passengers, with an ideal value being 0.5m/s^2. The top speed of the train would be 2.7km/s and it would decelerate at the halfway point. The usual issue of intermediate stops would not affect this train.
  • #1
yrh
2
0
Say we have a maglev train traveling i a vacuum. The only thing limiting its speed is the g-force tolerance of the passengers.

The train would therefore accelerate at a certain rate until halfway, and then decelerate until it reached its destination.

What would be the traveling time of such a train as a function of the distance?
 
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  • #2
[tex]t=\sqrt{\frac{4s}{g}}[/tex]
where t is the time, s is the distance and g is the accelleration.
Calculated using the fact that distance traveled is the area underneath a velocity-time graph.
 
  • #3
Thank you.

What acceleration value g should I use? I'm looking for an acceleration/deceleration that is hardly noticeable for the passengers, making the journey comfortable.
 
  • #4
With an acceleration of 0.5m/s^2 you can cross the USA in 1.5h in a straight line, which is pretty good...

The chairs could turn 180 degrees when the train is going to decelerate. The top speed would be 2.7km/s.

The usual problem with trains is that they start and stop at all the intermediate stations...
 
  • #5
yrh said:
Say we have a maglev train traveling i a vacuum. The only thing limiting its speed is the g-force tolerance of the passengers.

The train would therefore accelerate at a certain rate until halfway, and then decelerate until it reached its destination.

What would be the traveling time of such a train as a function of the distance?

At the distance x the train is accelerated until x/2 so the time is expressed as:
x/2=gt²/2
t=√x/g
 

1. What is vacuum travel formula creation?

Vacuum travel formula creation is the process of developing mathematical equations and models to understand and predict the behavior of objects moving through a vacuum, such as spacecraft or particles in a particle accelerator.

2. Why is it important?

Understanding the physics behind vacuum travel is crucial for advancements in space exploration and particle physics. It allows us to accurately design and control spacecraft, as well as study the fundamental particles that make up our universe.

3. What factors are considered when creating vacuum travel formulas?

Many factors are taken into account, including the speed and direction of the object, the properties of the vacuum, and any external forces acting on the object. Other variables such as air resistance and gravity may also need to be considered depending on the specific scenario.

4. How are vacuum travel formulas tested and validated?

Vacuum travel formulas are typically tested and validated through experiments and simulations. Scientists use data from previous experiments and observations to verify the accuracy of the formulas and make adjustments if necessary.

5. Can vacuum travel formulas be used for other applications?

Yes, vacuum travel formulas can also be applied to other scenarios where objects are moving through a vacuum, such as in high-altitude flight or in certain industrial processes. They can also be adapted for use in other environments, such as underwater or in outer space.

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