Question

For aluminium the bulk modulus and modulus of rigidity are `7.5xx10^(10) Nm^(-2)`. Find the velocity of longitudinal waves in the mediu. Density of aluminium is `2.7xx10^(3) kgm^(3)`.

Answer 1

We are given `B=7.5xx10^(10)N//m^(2)`
`rho=2.70xx10^(3)kg//m^(3)`
`v=sqrt((B)/(rho))=sqrt((75xx10^(9))/(2.70xx10^(3)))`
`=10^(3)sqrt((75)/(2.7))=10^(3)sqrt((75)/(2.7))`
`=10^(3)xx5.27`
`v=5.27xx10^(3)m//s`