Physics behind Gaussian Accelerator/ Magnetic Linear Acceleratorby x85247x Tags: accelerator, accelerator or, gaussian, linear, magnetic, physics 

#1
Jun1609, 09:37 PM

P: 3

Hi all. i have seen some videos on youtube and i am amazed by the videos of Gaussian accelerator/ Magnetic linear accelerator. As i have a physics project coming up i may consider using this for my project, however i need to ensure that this experiment is within my syllabus. i have basically seen explainations from comments by other people in youtube and i realised there are many different type of explainations from people. Some explainations are * Newton 2nd and 3rd law*, *Conservation of energy, conservation of momentum* and something related to the * Newton's cradle* Base on people explaination, i did check them up on Wikipedia but i can't really seem to understand or confirm my understanding. Thus i hope people here can provide assistance such as provide me with explaination for this experiment.
If there is one, include the laws in explaination. Below are some Videos that i have watched related to Gaussian accelerator/ Magnetic linear accelerator. （Not mine) http://www.youtube.com/watch?v=i6JCz...eature=related http://www.youtube.com/watch?v=epf1A...eature=related http://www.youtube.com/watch?v=tYJDvzv53WQ All helps are appreciated! 



#2
Jun1609, 10:32 PM

P: 4,664

This is a nice little science project, but it certainly is not original. Basically a ball bearing is attracted to a strong neodymiumiron magnet, and the momentum at impact is mechanically transferred through the magnet to an equal mass ball bearing on the other side of the magnet that is only weakly attracted to (slowed down by) (restraining force) the magnet due to the two extra ball bearings that act as spacers. So it acts like a momentum multiplier.




#3
Jun1709, 03:02 AM

P: 3

Thanks Bob, but does it include any law in it? Anyone?




#4
Jun1709, 01:17 PM

P: 4,664

Physics behind Gaussian Accelerator/ Magnetic Linear Accelerator 



#5
Jun1709, 06:44 PM

P: 3





#6
Nov2809, 09:29 AM

P: 4

Bob and x85247x,
The physics behind a Gauss Rifle more commonly known as a Magnetic Linear accelerator are a bit more subtle than those described by Newton. Although the magnet does indeed attract the steel ball to it, thereby increasing the velocity of the initial ball which, after the collision, lends to a higher velocity of the fired ball. However if one were to solve the equations of motion, and note the "potential energy" "stored" in the magnetic field one would realize that the velocity of the fired steel ball should only be on the order of 1.25 times that of the initial steel ball, however we know this is not the case as we see in the experiments the velocity of the fired ball is many times that of the initial ball. The question is where does this extra velocity come from? The steel ball is a ferrite material which naturally has dipole moments occurring. One can think of the orientation of the dipoles, with respect to the magnetic field ,as stored potential energy. The initial ball has randomized dipole moments, (ie potential energy), as the ball gets closer to the magnetic field the dipoles start to naturally align releasing the potential energy, so in essence when the initial steel ball touches the magnet all the dipoles align with the magnetic field releasing their stored up potential energy. What's cool about this is because the dipole orientations have natural preferred states with a probability of H/KbT (where H is some constant, Kb is Boltzmann's constant, and T is absolute temperature) through experimentation you should be able to verify that initial hot slow moving balls will produce faster moving fired balls, than cold balls initial balls moving at the same speed. This is because as the temperature of the ball increases the dipole moments within the ball become more randomized, i.e. the stored potential energy increases. For a more in depth discussion on this I recommend Griffith's intro text on Electromagnetic Theory found here; http://www.amazon.com/IntroductionE.../dp/013805326X or for those more well versed in this topic check of David Jackson's EMT text. 



#7
Nov2809, 12:20 PM

P: 4,664

Try doing this experiment with only one steel ball (the recoil ball) on the downstream side of the neodymium magnet and see if the accelerator works. It won't. Now try it with 2 or 3 steel balls on the downstream side. Why does it work with 2 or 3 balls, and not with one? It is because the magnetic binding energy of the second or third ball on the downstream side of the magnet is less than the binding energy of the incident ball on the upstream side of the magnet. Does it depend on the "natural preferred" dipole moment of the incident ball? Probably not.
Bob S 



#8
Nov2909, 02:15 PM

P: 262

In fact the magnets being used are powerful but small which means that most of the energy is very close to the magnet. The incident ball touching receives far more magnetic energy then the projectile loses. I don’t see how dipole moment comes into it but I could be wrong. 



#9
Nov2909, 02:32 PM

P: 4,664

I agree. Bob S 



#10
Jul1310, 06:26 AM

P: 1

a) "Assume the impulse (momentum integrated over time) from the first ball bearing (BB) is transferred to the second BB with 100% efficiency. This would be true, only if the two BBs have the same mass" b) "The moment of inertia of a BB is 0.4mR^2 where R is radius, so the total kinetic energy of a rolling BB is 0.5 mv^2 (linear) plus 0.2mv^2 (rotational) = 0.7 mv^2." Here can you explain why 0.4mR^2 becomes 0.2mv^2 (rotational)??? 



#11
Apr1911, 08:56 PM

P: 1




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