Question

Calculate the velocity of a compressional wave in a homogeneous rock layer with a density of 2.6 g/cm3 , a Young’s modulus of 0.39✕1011 N/m2 , and a Poisson’s ratio of 0.11

Answer 1

V = 2534.37 m/s

Step-by-step explanation:

density
`<strong>= 2.6 g/cm^3 = 2600 kg/m^3</strong>`

young's modulus
`<strong>= 0.39* 10^(11) N/m^2</strong>`

Poisson's ratio = 0.11

we know that bulk modulus is given as

`\beta = (E)/(3(1-2\mu))`

`= (0.39* 10^(11))/(3(1-2* 0.11))`

`= 1.67* 10^(10)`

velocity of wave is given as

`V =\sqrt{(\beta)/(\rho)}`

`V = \sqrt{(1.67* 10^(10))/(2600)}`

V = 2534.37 m/s