A magnetic field is applied to a freely floating uniform iron sphere with radius R = 2.00mm. The sphere initially had no net magnetic moment, but the field aligns 12% of the magnetic moments of the atoms (that is, 12% of the magnetic moments of the loosely bound electrons in the sphere, with one such electron per atom). The magnetic moment of those aligned electrons is the sphere's intrinsic magnetic moment. What is the sphere's resulting angular speed ω?