Equations used in Maglev technology

In summary, you might try looking for problems in rotational motion, planetary/orbital motion, or ballistics. If your teacher provides a list of topics you could try relativity as well.
  • #1
totomyl
15
1
I need to find an equation that i can make a word problem out of. This has to be able to be used at the grade 11 level and it is for my Stse project. I tried looking in my textbook for problems to calculate something that has to do with magnetic levitation or electromagnetic but i have had no luck. please send me a link or explain to me something i could possibly use? thanks.
 
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  • #2
I don't think you are going about the assignment in a useful way.

11th grade is 16-17yrs (that would be y11 in NZ, so senior secondary school) ... maglev is kinda senior to post-grad college engineering so that won't really help you. By 11th grade you must have seen (you are an 11th grade student right, not a teacher?) word problems before ... what sort of equations did they involve? What did they look like in general? Why not just do something like that?

I'd suggest a problem in rotational motion, planetary/orbital motion, or ballistics.
You could also try relativity ... basically something at the edge of your curriculum.
 
  • #3
Simon Bridge said:
I don't think you are going about the assignment in a useful way.

11th grade is 16-17yrs (that would be y11 in NZ, so senior secondary school) ... maglev is kinda senior to post-grad college engineering so that won't really help you. By 11th grade you must have seen (you are an 11th grade student right, not a teacher?) word problems before ... what sort of equations did they involve? What did they look like in general? Why not just do something like that?

I'd suggest a problem in rotational motion, planetary/orbital motion, or ballistics.
You could also try relativity ... basically something at the edge of your curriculum.
thanks for your suggestions, i will surely use this information next time :D. i wish i chose a different topic, but i was one of the last to pick the topic from a list and this seemed pretty cool anyways. I think i will just put some visual problems that have to do with electricity or electromagnetism like circuit diagrams or something. much appreciated, thanks!
 
  • #4
If it is a topic selected from a list provided by the teacher, then that changes things a bit: you won't be expected to go into so much depth.
You should look to your electromagnetic coursework as well as research how maglev applications work, there are different approaches.
... then draw a connection to your coursework.

Have a look at this application of maglev:

At 6:35 you get a description of how it works - and there are other demos to follow.
The principle is demonstrable using a soda can and an electric drill.
Once you have the terminology you can look up the relations.

But if all you are looking for is magnetic levitation then there's other examples.
The main trick is not to get too caught up in the big picture - isolate a simple part of the process and use that for your word-question. Someone who has just done your physics course, and passed 100%, should be able to do it so all the equations are one's you already have.
 
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Related to Equations used in Maglev technology

1. What is the equation for calculating the force between two magnets in Maglev technology?

The equation for calculating the force between two magnets in Maglev technology is given by the Lorentz force law, which states that the force (F) acting on a charged particle with charge q moving with velocity v in a magnetic field B is equal to F = qv x B.

2. How is the equation for determining the levitation height in Maglev trains derived?

The equation for determining the levitation height in Maglev trains is derived from the balance of forces acting on the train. The upward force of the magnetic field must equal the downward force of gravity, which is expressed as Fm = Fg. This equation can be rearranged to solve for the levitation height (h), which is given by h = (B^2 * m) / (2 * g * rho), where B is the magnetic field strength, m is the mass of the train, g is the acceleration due to gravity, and rho is the density of air.

3. What is the equation for calculating the speed of a Maglev train?

The equation for calculating the speed of a Maglev train is given by v = √(2 * a * s), where a is the acceleration of the train and s is the distance traveled. This equation assumes that the train starts from rest and accelerates uniformly to its final speed. If the train is already moving at a constant speed, the equation can be modified to v = u + a * t, where u is the initial velocity and t is the time taken.

4. How is the equation for determining the power consumption of a Maglev train derived?

The equation for determining the power consumption of a Maglev train is derived from the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy. In the case of a Maglev train, the work done is equal to the force of the magnetic field (Fm) multiplied by the distance traveled (s), which is equal to the change in kinetic energy (ΔKE). This can be expressed as Fm * s = ΔKE = (mv^2)/2, which can be rearranged to solve for the power consumption (P), given by P = (Fm * s * v) / t, where t is the time taken to travel the distance s.

5. How is the equation for determining the stability of Maglev trains derived?

The equation for determining the stability of Maglev trains is derived from the concept of stability in a magnetic field. For a train to be stable, the force from the magnetic field acting on the train must be greater than the force of gravity pulling the train down. This can be expressed as Fm > Fg, which can be rearranged to solve for the stability factor (K), given by K = (B^2 * m) / (2 * g * rho).

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