Constant angular velocity, two stages

Storyboard

If during a movement at constant angular velocity there is a change in this velocity, it results in a movement occurring in two stages, each characterized by a defined angular velocity.



Each stage is modeled with a linear relationship represented by a line, where the key lies in the fact that the time and final angle of the first stage are, in turn, the time and initial angle of the second stage.



It's important to note that this model presents a problem: the angular velocity changes instantaneously, which is equivalent to an angular acceleration followed by an infinite deceleration, which is unrealistic. However, this problem is not relevant if the duration of the stages is considerably longer than the time in which the change in angular velocity occurs.

>Model

ID:(1410, 'ky')


Constant angular velocity, two stages

Description

If during a movement at constant angular velocity there is a change in this velocity, it results in a movement occurring in two stages, each characterized by a defined angular velocity. Each stage is modeled with a linear relationship represented by a line, where the key lies in the fact that the time and final angle of the first stage are, in turn, the time and initial angle of the second stage. It's important to note that this model presents a problem: the angular velocity changes instantaneously, which is equivalent to an angular acceleration followed by an infinite deceleration, which is unrealistic. However, this problem is not relevant if the duration of the stages is considerably longer than the time in which the change in angular velocity occurs.

ID:(1410, 0)