Period from angular frequency
=============================

The period of oscillations is the time it takes for the system to perform a single oscillation cycle.
The Period is inversely proportional to the angular frequency of oscillations. See
:doc:`laws.kinematics.average_angular_speed_is_angular_distance_over_time` for additional information.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Angular_frequency#Circular_motion>`__.

.. py:currentmodule:: symplyphysics.definitions.period_from_angular_frequency

.. py:data:: period

    :attr:`~symplyphysics.symbols.basic.period` of oscillations.

Symbol:
    :code:`T`

Latex:
    :math:`T`

Dimension:
    :code:`time`


.. py:data:: angular_frequency

    :attr:`~symplyphysics.symbols.classical_mechanics.angular_frequency` of oscillations.

Symbol:
    :code:`w`

Latex:
    :math:`\omega`

Dimension:
    :code:`angle/time`


.. py:data:: law

    :code:`T = 2 * pi / w`


    Latex:
        .. math::
            T = \frac{2 \pi}{\omega}