Weird looking version of angular velocity

[ylim]

Hi there,

It is common that
angular velocity = radius * rate of change of degree over time,

But I read this somewhere,

it reads

angular vel = normal vector * rate of change of normal vector over time,

Can anyone please explain the correlation?

Thank you.

 

[Shooting Star]

Hi there,

It is common that
angular velocity = radius * rate of change of degree over time,

Very uncommon.

angular velocity = rate of change of angle over time
Linear speed=r*(dtheta/dt) on a circular path.

 

[ylim]

Sorry. Yes, I meant angular velocity = rate of change of angle over time
but my concern is
angular vel = normal vector curl rate of change of normal vector over time,

 

[malty]

Sorry. Yes, I meant angular velocity = rate of change of angle over time
but my concern is
angular vel = normal vector curl rate of change of normal vector over time,

No the second description isn't that uncommon. If you imagine measuring angular velocity in terms of the rate of change of the tangential velocity vector to the curve, and how the normal of this tangential vector curls in time when compared to the normal of this original vector for a given time interval $$\Delta t$$

[Will add a diagram in a few mins]
Hopefully that will clarify

Edit- Having serious trouble uploading diagram, (it's a bmp paint file but it exceeds the limit! :(

 

[ylim]

thankkssss..~ hmm, do you mind dropping me an email (the bmp) at wincluster@gmail.com

thank you.