How to Calculate Time for One Revolution of an Ion in a Magnetic Field?

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To calculate the time for one revolution of an ion in a magnetic field, the circumference of the circular path is essential, which is derived from the radius. The charge-to-mass ratio and magnetic field strength are used to determine the ion's speed, calculated as v = (q/m) * B * R. The circumference is then calculated using C = π * d, where d is the diameter of the circle. The time for one revolution is found by dividing the circumference by the speed, resulting in t = C/v. There is a noted discrepancy in the radius used for calculations, highlighting the importance of consistency in values.
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Hi, I need help with this question:

An ion with a charge-to-mass ratio of 1.10 x 10^4 C/kg travels perpendicular to a magnetic field (B = 9.10 x 10^-1 T) in a circular path (R = 0.240 m). How long does it take the ion to travel one revolution?

I've found the speed that it travels...then what? How would I find the distance that it travelled? Do I use the circumference? :confused:

I've decided...instead of posting a thread everytime I need help, I'm just going to have one thread and this is where I'll post my questions.
 
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If the ion travels in a circular path then the distance it travels in one revolution must be the circumference of the circle.
 
This is what I did:

q/m = vB┴r
(1.10 x 10^4 C/kg)(9.10 x 10^-1 T)(0.420 m) = v
v = 2402.4 m/s

C = (pie)d (I don't know how to make the symbol)
C = (pie)(0.480 m)
C = 1.507...m

t = d/ = 1.507...m/2402.4 m/s = 6.28 x 10^-4 s

Is this right?
 
I think you switched digits in R. You stated originally that R = 0.24 m but you seem to be using R = 0.42 in your calculation.
 
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