(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A cyclotron is to accelerate protons to an energy of 5.4 MeV. The superconducting electromagnet of the cyclotron produces a magnetic field of 3.5 T, perpendicular to the proton’s orbits.

a) When the protons have achieved a kinetic energy of 2.7 MeV, what is the radius of their circular orbit and what is their angular speed?

b) Repeat part a) when the protons have achieved their final kinetic energy of 5.4 MeV.

2. Relevant equations

R=mv/qB

f_{c}=qB/(2pi*m)

3. The attempt at a solution

google calc

2.7 megaelectron volts = 4.32587645 × 10^{-13}joules

mass of a proton 1.67262158 × 10^{-27}kilograms

elementary charge = 1.60217646 × 10-19 coulombs

K=1/2mv^{2}not totally sure if I can use this -cant see why not either???

v=2.2743*10^{7}

subbing all values in

R=0.068m

not sure what sort of range these are usually in so I can't tell if my answer seems right or not??????

found f_{c}to be 5.33588*10^{7}Hz so w=3.353*10^{8}rad/s

I really just need to know if these values seem right and someone to check my procedure(and answers if your really nice). b is the same so i wont bother wasting time with that.

thanks for any help

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# Homework Help: Radius cyclotron

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