Torque via force and radial distance
====================================

*Torque* is a turning action on a body about a rotation axis due to a force.

**Notes:**

#. The position vector of a point in space, also known as location or radius vector,
   is the vector connecting the origin of the coordinate system and the given point.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Torque#Definition_and_relation_to_other_physical_quantities>`__.

.. py:currentmodule:: symplyphysics.laws.dynamics.torque_via_force_and_radial_distance

.. py:data:: torque

    The magnitude of the :attr:`~symplyphysics.symbols.classical_mechanics.torque` applied at the given point.

Symbol:
    :code:`tau`

Latex:
    :math:`\tau`

Dimension:
    :code:`force*length`


.. py:data:: force

    The magnitude of the :attr:`~symplyphysics.symbols.classical_mechanics.force` exerted on the given point.

Symbol:
    :code:`F`

Latex:
    :math:`F`

Dimension:
    :code:`force`


.. py:data:: radial_distance

    The :attr:`~symplyphysics.symbols.classical_mechanics.distance_to_axis` from the given point.

Symbol:
    :code:`r`

Latex:
    :math:`r`

Dimension:
    :code:`length`


.. py:data:: angle_between_vectors

    The :attr:`~symplyphysics.symbols.basic.angle` between the position vector of the given point and the force vector.

Symbol:
    :code:`phi`

Latex:
    :math:`\varphi`

Dimension:
    :code:`angle`


.. py:data:: law

    :code:`tau = r * F * sin(phi)`


    Latex:
        .. math::
            \tau = r F \sin{\left(\varphi \right)}