Problem: A small button placed on a horizontal rotating platform with diameter 0.315 m will revolve with the platform when it is brought up to a speed of 28.0 rev/min, provided the button is no more than 0.140 m from the axis.
Part A: How far from the axis can the button be placed, without slipping, if the platform rotates at 43.0 rev/min?
I want help to find how far from the axis can the button be placed.