Grade 12Mechanics
A cube is subjected to a uniform volume compression.If the side of the cube decreases by 2%,the bulk strain is
3 Answers
Vasantha Kumari
Vinoothna Jadala
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
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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