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Dec 19, 2015 at 15:27 comment added user100898 I'm still not understanding. You say $\omega$ has "a direction perpendicular to the plane of rotation" and yet is not along the axis of rotation. I would think these are the same directions. And you're saying that the angular velocity vector does not lie along the axis of rotation, and yet we say it does?
Dec 11, 2015 at 12:10 comment added Garvit Sharma $\omega$ according to you will either be clockwise or anticlockwise right? But to avoid any confusion( as mentioned in answer), we chose $\omega$ to have a direction perpendicular to the plane of rotation or into the plane of rotation. Does angular velocity actually lie along the axis of rotation ( parallel to it) , no, but we claim so only to eliminate any possible physical conflict in solutions to problems. It's like a convention of sorts. As you can see in the formula you mentioned above, we basically use the screw rule to figure out the direction of angular velocity.
Dec 10, 2015 at 19:13 comment added user100898 I guess I'm not sure how this answers the question. What I'm asking is if $\omega$ should point along the axis of rotation, and if not, what it should be interpreted to mean.
Dec 10, 2015 at 14:21 history edited Garvit Sharma CC BY-SA 3.0
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Dec 10, 2015 at 1:46 history answered Garvit Sharma CC BY-SA 3.0