How Long Does It Take for Alpha Particles to Complete One Orbit in a Cyclotron?

AI Thread Summary
To determine the period of circular motion for alpha particles in a cyclotron, one must consider centripetal acceleration. The relationship mv²/R = qvB can be used to find the velocity of the particles. Once the velocity is calculated, the period T can be derived using the formula T = 1/f, where frequency f is the inverse of the period. The magnetic field strength and radius of the orbit are crucial in this calculation. Understanding these principles allows for accurate determination of the time taken for one complete orbit.
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Homework Statement


Alpha particles (charge= +2e, mass= 6.68*10-27kg) are acclerated in a cyclotron to a final orbit radius of .30 m. THe magnetic field in the cyclotron is .80 T. The period of circular motion is?


Homework Equations



f=1/T
F=qvbsin\alpha
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The Attempt at a Solution

 
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Welcome to PF.

Don't you want to consider the effect of centripetal acceleration?

Won't mv2/R = qv X B yield your velocity and from that you can figure how long to make 1 revolution?
 

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