Solid disk about central axis
=============================

A solid disk (cylinder) rotates about its central axis (axis of cylindrical symmetry).

**Conditions:**

#. The disk is uniform.

**Links:**

#. `Wikipedia, sixth row of table <https://en.wikipedia.org/wiki/List_of_moments_of_inertia>`__.

.. py:currentmodule:: symplyphysics.laws.kinematics.rotational_inertia.geometries.solid_disk_about_central_axis

.. py:data:: rotational_inertia

    :attr:`~symplyphysics.symbols.classical_mechanics.rotational_inertia` of the disk.

Symbol:
    :code:`I`

Latex:
    :math:`I`

Dimension:
    :code:`length**2*mass`


.. py:data:: radius

    :attr:`~symplyphysics.symbols.classical_mechanics.radius` of the disk.

Symbol:
    :code:`r`

Latex:
    :math:`r`

Dimension:
    :code:`length`


.. py:data:: mass

    The :attr:`~symplyphysics.symbols.basic.mass` of the disk.

Symbol:
    :code:`m`

Latex:
    :math:`m`

Dimension:
    :code:`mass`


.. py:data:: law

    :code:`I = m * r^2 / 2`


    Latex:
        .. math::
            I = \frac{m r^{2}}{2}