How frequently a collision takes place in a collider

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Homework Statement



If its circumference is 27km, and there are 4 equally spaced points where the beams collide, show a collision takes place every 22 microseconds at each one of the collision points

Homework Equations



I don't know where to start, which equation should I use?

The Attempt at a Solution

 
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Hi there,

From my point of view, your problem is lacking quite a few information. From the information you are giving, it sounds very much like the CERN's LHC.

To figure out how many collisions take place, you need to know at least the current density of the beam, and the speed of the particles.

Cheers
 
That's what I thought, but that is all the information that I have been given to solve it...
 
ah, it says they are accelerated up to 45GeV...
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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