Speed of sound via bulk modulus and density
===========================================

Sound waves are longitudinal mechanical waves that can travel through any type of material,
be it solid, liquid, or gas. The phase velocity of the a sound wave depends on the bulk modulus
of the medium it is traveling in and its density.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Speed_of_sound#Equations>`__.

.. py:currentmodule:: symplyphysics.laws.waves.speed_of_sound_via_bulk_modulus_and_density

.. py:data:: phase_velocity

    :attr:`~symplyphysics.symbols.classical_mechanics.phase_speed` of sound wave.

Symbol:
    :code:`v`

Latex:
    :math:`v`

Dimension:
    :code:`velocity`


.. py:data:: bulk_modulus

    :attr:`~symplyphysics.symbols.classical_mechanics.bulk_modulus` of the medium. Also see :doc:`laws.hydro.hydraulic_stress_is_bulk_modulus_times_strain`.

Symbol:
    :code:`K`

Latex:
    :math:`K`

Dimension:
    :code:`pressure`


.. py:data:: density

    :attr:`~symplyphysics.symbols.basic.density` of the medium.

Symbol:
    :code:`rho`

Latex:
    :math:`\rho`

Dimension:
    :code:`mass/volume`


.. py:data:: law

    :code:`v = sqrt(K / rho)`


    Latex:
        .. math::
            v = \sqrt{\frac{K}{\rho}}