Velocity and angular acceleration

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SUMMARY

The discussion clarifies the relationship between angular velocity, position vector, and tangential velocity in physics. It establishes that the correct expression is \(\vec {\omega} \times \vec{r} = \vec{v}\), emphasizing the importance of referencing a fixed origin. The terms involved are angular velocity (\(\vec{\omega}\)), position vector (\(\vec{r}\)), and tangential velocity (\(\vec{v}\), which is derived from the cross product of angular velocity and position vector.

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Zeno's Paradox
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Is this true?

[tex]\vec \omega \times r = \vec v[/tex]
 
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That's actually meaningless.

This is true:[tex]\vec {\omega} \times \vec{r} = \vec {v}[/tex]

(with respect to fixed origin)


Assuming omega is the angular velocity, r position vector, and v, the tangential velocity.
 

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