Dear all

I've got a mechanics-type problem at the moment - don't worry, it really isn't for homework.

Consider a liquid-filled sphere, surrounded by some sort of solid membrane
in space holding the liquid together, with no gravity. Assume the inner
(liquid) sphere has radius r_1, say, and the outer annulus has a radius r_2,
so that the total radius of the sphere is r_1 + r_2. As we allow r_1 to
increase, the mass increases proportionally to r_1^3 and the surface area
proportionally to r_1^2. But in order to keep the structural integrity (ie
so the bubble doesn't just break apart), the membrane thickness r_2 needs to
increase proportionally to r_1^a, where a is some power. My problem is, I'm
not sure what a should be. I'm guessing 2 or 3 but I'm useless at mechanics.

Anyway, if anyone could help, it would be very much appreciated.

Tronc

I've got a mechanics-type problem at the moment - don't worry, it really isn't for homework.

Consider a liquid-filled sphere, surrounded by some sort of solid membrane

Anyway, if anyone could help, it would be very much appreciated.

Tronc