Speed via angular speed and radius
==================================

Speed of a rotating body can be calculated using its angular speed and instantaneous
radius of curvature of the body's path.

**Links:**

#. `Physics LibreTexts, first part of formula 6.1.9 <https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/06%3A_Uniform_Circular_Motion_and_Gravitation/6.01%3A_Rotation_Angle_and_Angular_Velocity>`__.

.. py:currentmodule:: symplyphysics.laws.kinematics.speed_via_angular_speed_and_radius

.. py:data:: speed

    Linear :attr:`~symplyphysics.symbols.classical_mechanics.speed`.

Symbol:
    :code:`v`

Latex:
    :math:`v`

Dimension:
    :code:`velocity`


.. py:data:: angular_speed

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

Symbol:
    :code:`w`

Latex:
    :math:`\omega`

Dimension:
    :code:`angle/time`


.. py:data:: radius_of_curvature

    Instantaneous :attr:`~symplyphysics.symbols.basic.radius_of_curvature`.

Symbol:
    :code:`r`

Latex:
    :math:`r`

Dimension:
    :code:`length`


.. py:data:: law

    :code:`v = w * r`


    Latex:
        .. math::
            v = \omega r