How fast (in rpm) must a centrifuge rotate if a particle 6.00 cm from the axis of rotation is to experience an acceleration of 113000 g's? if the answer has 4 digits or more, enter it without commas, e. g. 13500?

The acceleration experienced by the particle is given by

This corresponds to the centripetal acceleration of the motion, which is related to the angular speed  of the particle and its distance r from the axis by the relationship

In our problem, , so we can solve for :

However, we must convert it into rpm (revolution per minute).
We know that 1 rad corresponds to  revolutions, while . So we the conversion is

Independent variable is something that is changed in a experiment.