Magnetic field in a particle accelerator

[mgoff87]

Protons with momentum 2.2×10−16 kg*m/s are magnetically steered clockwise in a circular path 1.8 km in diameter at Fermi National Accelerator Laboratory in Illinois.

I am asked to find the magnitude and direction of the field in the magnets surrounding the beam pipe...

I'm fairly certain that this is a simple plug and chug problem, but I'm not sure which equation to use...perhaps something with the cyclotron frequency?

 

[tiny-tim]

acceleration

Hint: What is the acceleration of something with that momentum going in that circle?

 

[uq_civediv]

when it comes to charged particles in a magnetic field you're supposed to start with lorentz force
circular motion refers to centripedal force

let's not spoil any further

 

[mgoff87]

got it!

Alright, the only thing that was confusing me was the units for momentum and trying to set as one variable...

What i found was B = mv/rq where mv was the momentum that they gave us. After that it was just plugging in the numbers.

I got my final answer to be 1.5 T