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Mechanical Properties Of Fluids

Question
CBSEENPH11019982
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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
Length of an edge of the solid copper cube, l = 10 cm = 0.1 m
Hydraulic pressure, p = 7.0 × 106 Pa
Bulk modulus of copper, B = 140 × 109 Pa
Formula is given by, 
Bulk space modulus comma space straight B space equals space fraction numerator straight p over denominator open parentheses begin display style bevelled fraction numerator increment straight V over denominator straight V end fraction end style close parentheses end fraction where comma space fraction numerator increment straight V over denominator straight V end fraction equals space Volumetric space strain increment straight V space equals space change space in space volume space equals space pV over straight B straight V space equals space original space volume Original space volume space of space the space cube comma space straight V space equals space straight l cubed therefore space increment straight V space equals space pl cubed over straight B space space space space space space space space space space space space equals fraction numerator space 7 space cross times space 10 to the power of 6 space cross times space left parenthesis 0.1 right parenthesis cubed space over denominator left parenthesis 140 cross times 10 to the power of 9 right parenthesis end fraction space space space space space space space space space space space space equals space 5 space cross times space 10 to the power of negative 8 end exponent space straight m cubed space space space space space space space space space space space space equals space 5 space cross times space 10 to the power of negative 2 end exponent space cm to the power of negative 3 end exponent space Therefore comma space space the space volume space contraction space of space the space solid space copper space cube space is space 5 space cross times space 10 to the power of – 2 end exponent space cm to the power of – 3 end exponent.

Some More Questions From Mechanical Properties of Fluids Chapter

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What is the nature of inter-atomic or inter-molecular forces?

Which force is more stronger-interatomic or intermolecular force?

 Define rigid body.

Which state of matter possesses rigidity?

What is elasticity?

Name the property of material that opposes the deformation in it.

 Name the quantity which has neither unit nor dimensions.

Why strain is dimensionless?

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