InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Determine the volume contraction of a solid copper cube, 10 cm on an edge when subjected to hydraulic pressure of `7 xx 10^(6)Pa`. Bulk modulus of copper = 140 Gpa. |
|
Answer» Length of an edge of the solid copper cube, l = 10 cm = 0.1 m Hydraulic pressure, p = `7.0xx10^(6)` Pa Bulk modulus of copper, B = `140xx10^(9)` Pa Bulk modulus, `B=((p)/(DeltaV))/(V)` Where, `(DeltaV)/(V)` = Volumetric strain `DeltaV` = Change in volume V = Original volume. `DeltaV=(pV)/(B)` Original volume of the cube, `V=l^(3)` `thereforeDeltaV=(pl^(3))/(B)` `=(7xx10^(6)xx(0.1)^(3))/(140xx10^(9))` `=5xx10^(-8)"m"^(3)` `=5xx10^(-2)"cm"^(-3)` Therefore, the volume contraction of the solid copper cube is `=5xx10^(-2)"cm"^(-3)`. |
|