Mechanical Properties of Solids

Question : 15

Total: 21

Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of 7.0×106 Pa.

Solution:

Here, L = 10 cm = 0.1 m
B= bulk modulus of Cu=140×109Pa,P=7×106Pa
ΔV= Volume contraction of solid copper cube =?
∴V=L3=(0.1)3=0.001m3
From formula, B=−

(

ΔV

)

, we get =−0.05×10−6m3=−0.05cm3
Here –ve sign shows volume contraction.

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