Centrifugal Force: Are these equal?

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Good Evening to all,

I have been working on the following problem for the past several days and have finally come to the end of my rope. I hate to admit defeat but I do need some help. I'm almost certain I'm simply missing something that's embarassingly simple...

This is the problem exactly as it appears on the page:

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2. Centrifugal force is given by the following equation:

F = m \omega^2 r

Where F = Centrifugal force
m = mass
\omega = angular velocity
r = length of radius

A student told me the other day that centrifugal force on a mass m kg, rotating at an angular velocity of \omega rpm and at a radius of r feet, is given by the following equation:

F = 3.342 x 10^-3 m \omega^2 r [Newtons]

Are both equations correct? Explain?
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I know that this means I need to take the F equation, break it down into its base SI units and build it back up taking the meters to feet and seconds to minutes conversion into consideration.
I know that the conversion for meters to feet is 3.28084. What am I missing?

 

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Sorry I'd thought I'd manage to find where I was going wrong but apparently not ...

 

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F = kg x .10472^2(rad/sec) x .3048(r)
F = 3.34252x10^-3 m w^2 r

It was my conversion directions that was causing all the problems.