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That's a start in the right direction.
I believe the key variables are
> What is a reasonable v?
> Not large, intuition tells me 10cm/sec into a vacuum is a reasonable
> guess.
My intuition differs.
I would expect that catastrophic venting due
to a broken window would lead to air moving
in with velocity on the order of 340 m/s.
You can get the same answer by approximating
ordinary static air in a box as a "standing
wave" composed of 340 m/s rightward flow
superposed with 340 m/s leftward flow. The
flow turns around at the boundaries. This
turnaround is what produces pressure on the
boundaries. If you remove the right-hand
boundary, the rightward flow just exits
stage right, ballistically. Reality is a
little more complicated than this, since
there is a broad distribution of velocities.
Still, the velocities are peaked around the
characteristic velocity.
SJ also questiond my "sound wave" analysis.
I think I muffed a factor of two.
If the chamber has a shape resembling a horn,
it could be very effective at focussing this
sound onto the membrane.