A cyclotron designed to accelerate protons has a magnetic fi

A cyclotron designed to accelerate protons has a magnetic field of magnitude 0.290 T over a region of radius 1.40 m.

(a) What is the cyclotron frequency?
rad/s

(b) What is the maximum speed acquired by the protons?
m/s

Solution

a.) w = qB/m

w= 1.6*10^-19 * 0.290 / 1.67*10^-27 = 27784431.13

w = 27.7*10^6 rad/sec

b.) v = rqB/m

v = 1.4*1.6*10^-19*0.29 / 1.67*10^27 = 38898203.59  = 3.88*10^7 m/s