A worker is trying to measure the diameter of some gel particles (density = 1.16 g/cm^3). The worker puts the particles into a test tube (L = 10.2 cm) full of water and waits until they settle to the bottom. They dont move quickly, so the worker repeats the experiment but now places the tube in a centrifuge (r = 16.6 cm, w = 105 radians/minute). If it takes 65 s for them to settle, what is the diameter of the particles in um? Assume laminar flow that the density of water is 1.00 g/cm^3.