Hooke's law for an oject under volume stress (9-6)

Question 1 of 4

Question

$\textbf{Volume stress}$ on the object: change in the pressure $p$ on all sides of the object

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Question

$\textbf{Bulk modulus} B$ : How difficult it is to compress the material of which the object is made; larger $B$ means harder to compress.

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Question

$\textbf{Volume strain}$ of the object: resulting change in volume $\Delta{V}$ divided by the object's initial volume $V_0$

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Question

Important! If $\Delta{p}$ is positive, then $\Delta{V}$ is negative; if $\Delta{p}$ is negative, then $\Delta{V}$ is positive.

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Review

In terms of the quantities $\Delta{p}$ , $V_0$ , and $\Delta{V}$ depicted in Figure 9-10, we can rewrite Equation 9-5 as:

To get more insight into the meaning of Equation 9-6, multiply both sides by $-V_0/B$ to rewrite it so that $\Delta{V}$ is by itself on one side of the equation:

9-7 $\Delta{V} = - \frac{\Delta{p}}{B}V_0$