Answer to Question #109854 in Physics for Jess

Question

A cubic sample of a new kind of artificial tissue is subject to an increase in pressure of 160 kPa which results in a reduction in the side length of the cube of 6.5%. That is, the side length of the cube has reduced from L0 to 0.935L0.

What is the bulk modulus of this tissue? (to 2 s.f and in MPa)

Answer 1

$$K=\frac{\sigma}{\epsilon_V}=\frac{\sigma}{3\epsilon_L}$$

$$K=\frac{160}{3\cdot 0.065}=820\ kPA=0.82\ MPa$$