How fast (in rpm)must a centrifuge rotate if a particle 12.0 cm fromthe axis ofr

Question

How fast (in rpm)must a centrifuge rotate if a particle 12.0 cm fromthe axis ofrotation is to experience an acceleration of 115,000 g's? I think for this type of a problem I should be using theequation for centripetal acceleration however I'm notsure. How fast (in rpm)must a centrifuge rotate if a particle 12.0 cm fromthe axis ofrotation is to experience an acceleration of 115,000 g's? I think for this type of a problem I should be using theequation for centripetal acceleration however I'm notsure. I think for this type of a problem I should be using theequation for centripetal acceleration however I'm notsure.

Explanation / Answer

Radius r = 12 cm = 0.12 m Accleration a = 115000 g                     = 115000 * 9.8 m / s ^ 2                      =1127000 m / s ^ 2 we know a = r w ^ 2 from this angular speed   w = [ a / r ]                                          = 3064.58 rad / s                                          = 3064.58 * ( 1/ 2 ) rev / ( 1/ 60 ) min                                          = 29264.6 rev / min

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