Acceleration is normal plus tangential acceleration
===================================================

The acceleration of a body moving arbitrarily is composed of two parts:

#. *normal, or centripetal, acceleration*, which is always present in a rotating environment
   and points to the instantaneous axis of rotation,
#. and *tangential acceleration*, which is responsible for the change in the magnitude of
   the velocity vector.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Velocity#Polar_coordinates>`__.

#. `Mathematica LibreTexts <https://math.libretexts.org/Bookshelves/Calculus/Supplemental_Modules_(Calculus)/Vector_Calculus/2%3A_Vector-Valued_Functions_and_Motion_in_Space/2.6%3A_Tangential_and_Normal_Components_of_Acceleration>`__.

.. py:currentmodule:: symplyphysics.classical_mechanics.kinematics.general_motion.acceleration_is_normal_plus_tangential_acceleration

.. py:data:: total_acceleration

    Vector of the body's total :attr:`~symplyphysics.symbols.classical_mechanics.acceleration`.

Symbol:
    :code:`a`

Latex:
    :math:`{\vec a}`

Dimension:
    :code:`acceleration`


.. py:data:: normal_acceleration

    Vector of the body's normal :attr:`~symplyphysics.symbols.classical_mechanics.acceleration`.

Symbol:
    :code:`a_n`

Latex:
    :math:`{\vec a}_\text{n}`

Dimension:
    :code:`acceleration`


.. py:data:: tangential_acceleration

    Vector of the body's tangential :attr:`~symplyphysics.symbols.classical_mechanics.acceleration`.

Symbol:
    :code:`a_t`

Latex:
    :math:`{\vec a}_\text{t}`

Dimension:
    :code:`acceleration`


.. py:data:: law

    :code:`a = a_n + a_t`


    Latex:
        .. math::
            {\vec a} = {\vec a}_\text{n} + {\vec a}_\text{t}