Determine the volume contraction of a solid ...

Mechanical Properties of Solids

Question : 15 of 21

Marks: +1, -0

Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of

7.0 \times 10^{6}

Pa.

Solution:

Here, L = 10 cm = 0.1 m

B=

bulk modulus of

\mathrm{Cu}=140\times 10^{9}\ \mathrm{Pa}, P=7\times 10^{6}\ \mathrm{Pa}

\Delta V=

Volume contraction of solid copper cube

=?

\therefore V=L^{3}=(0.1)^{3}=0.001\ \mathrm{m}^{3}

From formula,

B=-\frac{P}{\left(\frac{\Delta V}{V}\right)},

we get

=-0.05\times 10^{-6}\ \mathrm{m}^{3}=-0.05\ \mathrm{cm}^{3}

Here –ve sign shows volume contraction.

Go to Question:

Prev Question

Next Question