How fast must a cetrifuge rotate in order for a particle 9cm from the axis of rotation to experience an acceleration of 115000g's

2 answers

115000*9.8=V^2/.09 solve for v.
If w is the angular rotation rate in radians per second, you must have

R*w^2 = 115,000 g = 1.127*10^6 m/s^2
w^2 = 1.252*10^7 (rad/s)^2
w = 3540 rad/s

That is about 34,000 rpm