Angular position via constant angular speed and time¶

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

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

Links:

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

final_angular_position¶

angular_distance at time.

Symbol:: theta
Latex:: \(\theta\)
Dimension:: angle

initial_angular_position¶

angular_distance at \(t = 0\).

Symbol:: theta_0
Latex:: \(\theta_{0}\)
Dimension:: angle

angular_speed¶

Constant angular_speed.

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

time¶

time at which final_angular_position is measured.

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

law¶

theta = theta_0 + w * t

Latex:: \[\theta = \theta_{0} + \omega t\]