Normal force via pressure and vector area
=========================================

Pressure is the proportionality constant between the vector area and the normal force
acting on it.

**Conditions:**

#. Pressure is constant thoughout the given area, which can be achieved by making it
   infinitesimally small.

**Links:**

#. `Wikipedia — Pressure <https://en.wikipedia.org/wiki/Pressure#Formula>`__.

#. `Wikipedia — Normal force <https://en.wikipedia.org/wiki/Normal_force>`__.

.. py:currentmodule:: symplyphysics.laws.dynamics.vector.normal_force_via_pressure_and_vector_area

.. py:data:: normal_force

    **Normal force** is the component of a contact force that is normal to the contact surface of the
    object.

Symbol:
    :code:`F_n`

Latex:
    :math:`{\vec F}_{n}`

Dimension:
    :code:`force`


.. py:data:: pressure

    :attr:`~symplyphysics.symbols.classical_mechanics.pressure`.

Symbol:
    :code:`p`

Latex:
    :math:`p`

Dimension:
    :code:`pressure`


.. py:data:: vector_area

    :ref:`Vector area <Vector area is unit normal times scalar area>`.

Symbol:
    :code:`A`

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

Dimension:
    :code:`area`


.. py:data:: law

    :code:`F_n = p * A`


    Latex:
        .. math::
            {\vec F}_{n} = p {\vec A}