In a cyclotron, the particle follows a circular path, with magnetic force acting as a centripetal force.
mv2/R = evB
eB/m = v/R = ꞷ
B = F/ev = [MLT-2]/[AT][LT-1] = [MA-1T-2] [ꞷ] = [eB/m] = [v/R] = [T]-1
Verify that the cyclotron frequency ꞷ = eB/m has the correct dimensions of [T]-1.
Verify that the cyclotron frequency ꞷ = eB/m has the correct dimensions of [T]-1.