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Centrifugal Force and Angular Velocity 
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#1
Dec1008, 11:02 AM

P: 79

1. The problem statement, all variables and given/known data
I'm working on a problem in which I have to calculate the centrifugal force. I know the equation and everything, I'm just stuck on what units my angular velocity should have. 2. Relevant equations [tex]\vec{F_{cen}}=m\omega\times(\omega \times r')[/tex] 3. The attempt at a solution I've evaluated the above with angular velocity having units rotations*s^1. I know that angular velocity should have units rad/s but I'm wondering how one gets units of Newtons when using rad/s as the unit of angular velocity. I've never really understood this, what is so special about radians that you can ignore them when converting units? 


#2
Dec1008, 11:18 AM

P: 51

I'm not sure if I can fully answer your question, but I can at least answer some.
Why can you drop the degrees when you do cos(degree)? I don't know the answer, all I know is you just can. You can get N from angular velocity this way. F = ma. In this case, a is centripetal acceleration, which is = w^2 * r. Now you get m/s^2, multiply that by mass and you get Newtons. 


#3
Dec1008, 12:38 PM

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#4
Dec1008, 12:42 PM

P: 79

Centrifugal Force and Angular Velocity
That makes better sense. Thank you!



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