Question

Determine the volume contraction of a solid copper cube, $10cm$ on an edge, when subjected to a hydraulic pressure of $7.0\times {10}^{6}Pa$. (Bulk modulus of copper, $B=140\times {10}^{9}Pa$)

Answer 1

Using formula

$K=-\frac{P}{\frac{\delta V}{V}}$

We get

$\delta V=-\frac{PV}{K}=-\frac{7\times {10}^6\times 0.001}{140\times {10}^9}=-0.05\times {10}^{-6}{m}^3$