You are a 70kg astronaut floating at rest in zero gravity holding your laptop. Your hard drive turns on (increasing from 0 to 5400 rpm). Approximate yourself as a uniform sphere of radius 30cm. How fast do you spin in rad/s?

The hard drive is an aluminum platter 3.5 inches in diameter, and 1mm thick.

Here is the very hypothetical question I asked earlier with some more information. Still not sure what to do though (it's quite a challenging scenario to visualize!)

3 answers

ok, assume hypothetical.
Now assume a position for the hard drive disk in relation to you. Hypothetically, assume the center of the hard drive disk is located at your center of mass. Geepers, that is hypothetical.

Conservation of angular momentum
your angularmomentum+angular momentumdisk=0
Isphere*wyou = - Idisk*wd
2/5 *70*.3*wyou=1/2 m (3.5/2 * .0254)
your angular velocity (wyou)
= 1/2 massdisk*(.0444m)/(.4*70)
so you solve for wyou.
nowmass disk= densityalum*volume
= 2830kg/m^3 * .001*PI*(3.5*.0254)^2
and you calculate that mass in kg
now find wyou.
I get 2.75*10^-5...

That doesn't seem right...
Revision - I get 6.15 * 10^-8, but it's wrong.