Showing posts with label Rotational Motion revised. Show all posts
Showing posts with label Rotational Motion revised. Show all posts

Wednesday, January 3, 2007

Revised Rotational Motion

Keep in mind that angular displacement,velocity, and acceleration can be treated in the same way as linear quantities. For example ( w is omega here)

w final = w intial + aplha delta t

delta theta = (w final+ w initial)/2 x delta t
delta theta = (wfinal squared - winitial squared)/2 alpha
delta theta = w initial x delta t + 1/2 aplha x delta t squared

Angular mechanics is similar to linear with torque replacing force; Moment of inertia [I] replacing mass [M]; w replacing v; and alpha replacing a.

For example, a = F/M in linear motion is replaced by alpha = Torque/ I in rotational (angular) motion. KE linear =M vsquared/ 2 but KE rotational = I wsquared/2