Angular forms of acceleration, velocity and displacement

  • #1

Main Question or Discussion Point

I have been going through my equations and writing them up on the computer so I can refer to that when needed and have go to angular acceleration, velocity and displacement equations yet I dont have very many equations for those topics and I wondered if anyone had some equations for finding those values. I seemed to have more for acceleration, velocity and displacement in their linear forms, could I just changed the variables in those equations to their angular counterparts?
Thanks
 

Answers and Replies

  • #2
tiny-tim
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hi scotty_le_b! :smile:
… I seemed to have more for acceleration, velocity and displacement in their linear forms, could I just changed the variables in those equations to their angular counterparts?
the popular ones, yes :smile:

for example, from the pf library on https://www.physicsforums.com/library.php?do=view_item&itemid=204" …​

In the direction of constant acceleration:

[tex]v\ =\ u\ +\ at[/tex]
[tex]v^2\ =\ u^2\ +\ 2as[/tex]
[tex]s\ =\ ut\ +\ \frac{1}{2}at^2[/tex]

Perpendicular to the direction of constant acceleration:

[tex]v\ =\ u[/tex]
[tex]s\ =\ ut[/tex]

For circular motion, with angular displacement [itex]\theta[/itex], angular velocity [itex]\omega[/itex], and angular acceleration [itex]\alpha[/itex]:

[tex]\omega_f\ =\ \omega_i\ +\ \alpha t[/tex]
[tex]\omega_f ^2\ =\ \omega_i^2\ +\ 2\alpha\theta[/tex]
[tex]\theta\ =\ \omega_it\ +\ \frac{1}{2}\alpha t^2[/tex]
 
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