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## Homework Statement

The velocity of a solid object rotating about an axis is a field [tex]\bar{v} (x,y,z)[/tex]

Show that [tex]\bar{\bigtriangledown }\times \bar{v} = 2\,\bar{\omega }[/tex], where [tex]\bar{\omega }[/tex] is the angular velocity.

## Homework Equations

3. The Attempt at a Solution [/B]

I tried to use the Stoke's theorem using an infinitesimal element with trapezoidal shape, but i was stuck with calculations. Which is the best way to resolve the equation ? It would be fantastic if you could explain me the geometric intuition behind the problem