Angular momentum is rotational inertia times angular speed
==========================================================

For a rigid body rotating around a fixed axis, the component of its angular momentum parallel
to the rotational axis is found as the product of the body's rotational inertia and the magnitude
of its angular velocity.

**Conditions:**

#. The body is rigid.
#. The axis of rotation is fixed.

**Links:**

#. `Wikipedia, vector counterpart of this law <https://en.wikipedia.org/wiki/Angular_momentum#Orbital_angular_momentum_in_three_dimensions>`__.

.. py:currentmodule:: symplyphysics.laws.kinematics.angular_momentum_is_rotational_inertia_times_angular_speed

.. py:data:: angular_momentum

    Component of the vector of :attr:`~symplyphysics.symbols.classical_mechanics.angular_momentum` parallel to the rotational axis.

Symbol:
    :code:`L`

Latex:
    :math:`L`

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


.. py:data:: rotational_inertia

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

Symbol:
    :code:`I`

Latex:
    :math:`I`

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


.. py:data:: angular_speed

    :attr:`~symplyphysics.symbols.classical_mechanics.angular_speed` of the body.

Symbol:
    :code:`w`

Latex:
    :math:`\omega`

Dimension:
    :code:`angle/time`


.. py:data:: law

    :code:`L = I * w`


    Latex:
        .. math::
            L = I \omega