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## Homework Statement

A star experiences a sudden increase in pressure to a new value P'. Taking the average density as ρ and the radius R, estimate the time scale of expansion of the star. (Ignore gravity altogether).

## Homework Equations

The only thing I can see in my notes that may (or may not) be related to this is :

t

_{dynamical}≈ √R

^{3}/GM

## The Attempt at a Solution

I'm not sure how to begin, I thought perhaps I could make an equation of motion for an outer shell and equate this to some kind of pressure but I don't know how/ am quite lost.

Any help would be much appreciated thanks.