Angular acceleration is angular speed derivative¶

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

Links:

Wikipedia.

time¶

Symbol:: t
Latex:: \(t\)
Dimension:: time

angular_acceleration¶

angular_acceleration of the body as a function of time.

Symbol:: alpha(t)
Latex:: \(\alpha{\left(t \right)}\)
Dimension:: angle/time**2

angular_speed¶

angular_speed of the body as a function of time.

Symbol:: w(t)
Latex:: \(\omega{\left(t \right)}\)
Dimension:: angle/time

definition¶

alpha(t) = Derivative(w(t), t)

Latex:: \[\alpha{\left(t \right)} = \frac{d}{d t} \omega{\left(t \right)}\]