Question

Compute the fractional change in volume of a glass slab, when subjicted to a hydrautic pressure of 10 atmosphere. Bulk modulus of elasticity of glass = `37 xx 10^(9) Nm^(-2)` and 1 atm = `1.013 xx 10^(5)Pa`.

Answer 1

Here, `p=10 atm, = 10 xx 1.013 xx10^(5) Pa, B = 37 xx 10^(9)Nm^(-2)`
Volumetric strain = `(Delta V)/(V) = (p)/(B) = (10 xx 1.013 xx 10^(5))/(37 xx 10^(9)) = 2.74 xx 10^(-5)`
`:.` Froctional change in volume = `(Delta V)/(V) = 2.74 xx 10^(-5)`.