Angular speed via constant angular acceleration and time¶

If a body is rotating around a fixed axis with constant angular acceleration, its angular speed is a linear function of time.

Conditions:

The axis is fixed.
Angular acceleration is constant, i.e. \(\frac{d \alpha}{d t} = 0.\)

Links:

Wikipedia, first out of the last four equations in the paragraph.

final_angular_speed¶

angular_speed at time.

Symbol:: w
Latex:: \(\omega\)
Dimension:: angle/time

initial_angular_speed¶

angular_speed at \(t = 0\).

Symbol:: w_0
Latex:: \(\omega_{0}\)
Dimension:: angle/time

angular_acceleration¶

Constant angular_acceleration.

Symbol:: alpha
Latex:: \(\alpha\)
Dimension:: angle/time**2

time¶

time at which final_angular_speed is measured.

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

law¶

w = w_0 + alpha * t

Latex:: \[\omega = \omega_{0} + \alpha t\]