If the observed speed of sound in steel is \(5300 \mathrm{~m} / \mathrm{s}\), determine the bulk modulus of elasticity of steel in \(\mathrm{N} / \mathrm{m}^{3}\). The density of steel is nominally \(7790 \mathrm{~kg} / \mathrm{m}^{3}\). How does your value of \(E_{v}\) for steel compare with \(E_{v}\) for water at \(15.6^{\circ} \mathrm{C}\) ? Compare the speeds of sound in steel, water, and air at standard atmospheric pressure and \(15{ }^{\circ} \mathrm{C}\) and comment on what you observe.