You are working as a medical assistant in a proton beam therapy facility, where high-speed protons are used to bombard cancer cells. The protons are accelerated with a cyclotron, which you find very interesting due to your physics background. You are explaining this to a patient who has some familiarity with cyclotrons. She asks: "How many revolutions does a proton make in the cyclotron before it reaches its final kinetic energy?". You are surprised, both by the high quality of her question and the fact that you had never thought about such a question before. You tell her that you will try to give her an answer before her treatment is over today. After preparing her for the treatment, you enter the cyclotron room and observe the machine. Only three numbers are available on the machine's label: the exit energy K = 250 MeV, the radius at which the protons exit, r = 0.850m, and the acceleration potential difference of the dees, AV = 800V. You return to the patient to provide her with the total number of times the protons circle the cyclotron before exiting.

You are working as a medical assistant in a proton beam therapy facility, where high-speed protons are used to bombard cancer cells. The protons are accelerated with a cyclotron, which you find very interesting due to your physics background. You are explaining this to a patient who has some familiarity with cyclotrons. She asks: "How many revolutions does a proton make in the cyclotron before it reaches its final kinetic energy?". You are surprised, both by the high quality of her question and the fact that you had never thought about such a question before. You tell her that you will try to give her an answer before her treatment is over today. After preparing her for the treatment, you enter the cyclotron room and observe the machine. Only three numbers are available on the machine's label: the exit energy K = 250 MeV, the radius at which the protons exit, r = 0.850m, and the acceleration potential difference of the dees, AV = 800V. You return to the patient to provide her with the total number of times the protons circle the cyclotron before exiting.