Question

Speed of sound in water is 1346 ms^-1 and density of water is 1.0 x 10³ kg m^-3. Determine the bulk modulus of water.

Answer 1

v = 1346m s^-1; ρ = 1.0 x 10³ kg m^-3; ß = ?

∵ v = \(\sqrt{\frac{\beta}{\rho}}\) ⇒ v² = \(\frac{\beta}{\rho}\) = ß = v².ρ

∴ ß = (1346)² x 1.0 x 10³ = (1.346)² x 10⁶ x 10³

or ß = 1.81 x 10⁹ N m^-2