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ADNAN MUHAMMED

Grade 12,

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A cube is subjected to a uniform volume compression.If the side of the cube decreases by 2%,the bulk strain is

A cube is subjected to a uniform volume compression.If the side of the cube decreases by 2%,the bulk strain is

Grade:12

3 Answers

Vasantha Kumari
askIITians Faculty 38 Points
9 years ago

181-1270_Bulk_Soln.JPG
Vinoothna Jadala
30 Points
5 years ago
Given,
Each side is decreased by 2%We have ,
Volume of cube=L³
On Differentiating we get,
dV/v=3dL/L
dV/V=3×2/100
dV/v=0.06
dV/V=0.03
 
Kushagra Madhukar
askIITians Faculty 628 Points
3 years ago
Dear student,
Please find the attached solution to your problem below.
 
Each side is decreased by 2%
Hence, dL/L x 100 = – 2
or, dL/L = – 2/100
We have ,
Volume of cube=L³
On Differentiating we get,
dV/V = 3dL/L
dV/V = 3 × – 2/100
dV/V  =  – 0.06
Hence, its Bulk strain = dV/V = – 0.06
 
Hope it helps.
Thanks and regards,
Kushagra

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