The magnetic force acting on the proton is

where
q is the proton charge
v is its speed
B is the intensity of the magnetic field

is the angle between the direction of v and B; since the proton is moving perpendicular to the magnetic field,

and

, so the force becomes

this force provides the centripetal force that keeps the proton in circular motion:

where the term on the left is the centripetal force, with
m being the mass of the proton
r the radius of its orbit
Re-arranging the previous equation, we can find the radius of the proton's orbit:

And now we can calculate the centripetal acceleration of the proton, which is given by