On 03/04/2012 07:45 PM, Daniel C. wrote:
> 2,000 times the force
Maybe, but energy flow and kinetic energy conservation are more illuminating
for design criteria.
A huge force for a nanosecond is small energy transferred...
Probably more important for containing ultracentrifuge angular momentum and stopping
it from causing big jerks of massive containers is to have multiple layers
of slippery sacrificial materials the spinning rotor chunks can ricochet off of,
then slide along the hopefully still round container walls.
Another important design criterion would be keeping the walls close to the
rotor edge so there is always a small angle between chunks that could aim at the walls.
Worst case would be rotor splits in two evenly. Then the two chunks take flight
straight line along a line from their centers of mass perpendicular to their radii
at the center of mass. At least that's the closest approximation I can do in my head
for the max min calculus problem it implies is the worst case for angle of hitting the wall
and kinetic energy, which is more and more toward the edge and zero for the point
at center of rotor. The kinetic energy of a new fractured chunk goes part into angular
spin, not all into straight line velocity, but since the wall is always close to the outside
fast moving high energy part of the rotor, it must not lessen straight line velocity much --
the outer edge part will hit the wall before it can twirl much. It will average the speeds
and have a new center of mass instantly though -- that will mean velocity is closer to half radius
instantaneous rotating velocity than to edge velocity near the wall.
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