Angular forms of acceleration, velocity and displacement

[scotty_le_b]

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 don't 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

 

[tiny-tim]

hi scotty_le_b!

… 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

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

In the direction of constant acceleration:

v\ =\ u\ +\ at
v^2\ =\ u^2\ +\ 2as
s\ =\ ut\ +\ \frac{1}{2}at^2

Perpendicular to the direction of constant acceleration:

v\ =\ u
s\ =\ ut

For circular motion, with angular displacement \theta, angular velocity \omega, and angular acceleration \alpha:

\omega_f\ =\ \omega_i\ +\ \alpha t
\omega_f ^2\ =\ \omega_i^2\ +\ 2\alpha\theta
\theta\ =\ \omega_it\ +\ \frac{1}{2}\alpha t^2