How fast (in rpm) must a centrifuge rotate if a particle 9.0 cm from the axis of rotation is to experience an acceleration of 120000 g's?

Question

How fast (in rpm) must a centrifuge rotate if a particle 9.0 cm from the axis of rotation is to experience an acceleration of 120000 g's?
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Solution 1

Sure, let's solve this step by step.

First, we need to understand that the acceleration a particle experiences in a centrifuge is given by the formula:

a = ω²r

where:

  • a is the acceleration,
  • ω is the angular velocity (in rad/s), and
  • r is the distance from the axis of rotation.

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