Angular acceleration is angular speed derivative
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*Angular acceleration* is a physical quantity that describes the change in angular speed over time.

**Links:**

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

.. py:currentmodule:: symplyphysics.definitions.angular_acceleration_is_angular_speed_derivative

.. py:data:: time

    :attr:`~symplyphysics.symbols.basic.time`.

Symbol:
    :code:`t`

Latex:
    :math:`t`

Dimension:
    :code:`time`


.. py:data:: angular_acceleration

    :attr:`~symplyphysics.symbols.classical_mechanics.angular_acceleration` of the body as a function of time.

Symbol:
    :code:`alpha(t)`

Latex:
    :math:`\alpha{\left(t \right)}`

Dimension:
    :code:`angle/time**2`


.. py:data:: angular_speed

    :attr:`~symplyphysics.symbols.classical_mechanics.angular_speed` of the body as a function of time.

Symbol:
    :code:`w(t)`

Latex:
    :math:`\omega{\left(t \right)}`

Dimension:
    :code:`angle/time`


.. py:data:: definition

    :code:`alpha(t) = Derivative(w(t), t)`


    Latex:
        .. math::
            \alpha{\left(t \right)} = \frac{d}{d t} \omega{\left(t \right)}