Related rates, pressure loss
A container with volume V contains air at standard atmospheric pressure and is surrounded by a vacuum. A small circular hole of area A is punched in the container. Estimate the pressure loss as a function of time.
Basically, as far as I can see, this is a fairly basic related rates problem; the less air left in the container the smaller the pressure gradient to drive the remaining air out. Thing is, I can kind of see a bunch of possible ways to set up the involved relations, so without asking for any help with actual calculations, I'm just curious what someone more experienced in physics would start the solution to this problem with?
