Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Rubber has a Poisson's ratio close to . A round rubber cord is stretched by of its length.
Poisson's ratio: , between and . A stretched rod's volume changes by . The moduli are linked: and .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. (a) .
Step 2. (b) , a change of .
Answer: (a) . (b) ; the two agree closely.
Check. Poisson's ratio is defined for small strains; at the small difference starts to show.
Watch out. The radius shrinks by half the stretch, not by the whole of it.
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