Angular position via constant angular speed and time
====================================================

When a body is rotating around a fixed axis with a constant angular speed, its angular
position is a linear function of time.

#. The axis is fixed.
#. Angular speed is constant, i.e. :math:`\frac{d \omega}{d t} = 0.`

**Links:**

#. `Wikipedia, second out of the last four equations in the paragraph <https://en.wikipedia.org/wiki/Kinematics#Acceleration_2>`__.

.. py:currentmodule:: symplyphysics.laws.kinematics.angular_position_via_constant_angular_speed_and_time

.. py:data:: final_angular_position

    :attr:`~symplyphysics.symbols.classical_mechanics.angular_distance` at :attr:`~time`.

Symbol:
    :code:`theta`

Latex:
    :math:`\theta`

Dimension:
    :code:`angle`


.. py:data:: initial_angular_position

    :attr:`~symplyphysics.symbols.classical_mechanics.angular_distance` at :math:`t = 0`.

Symbol:
    :code:`theta_0`

Latex:
    :math:`\theta_{0}`

Dimension:
    :code:`angle`


.. py:data:: angular_speed

    Constant :attr:`~symplyphysics.symbols.classical_mechanics.angular_speed`.

Symbol:
    :code:`w`

Latex:
    :math:`\omega`

Dimension:
    :code:`angle/time`


.. py:data:: time

    :attr:`~symplyphysics.symbols.basic.time` at which :attr:`~final_angular_position` is measured.

Symbol:
    :code:`t`

Latex:
    :math:`t`

Dimension:
    :code:`time`


.. py:data:: law

    :code:`theta = theta_0 + w * t`


    Latex:
        .. math::
            \theta = \theta_{0} + \omega t