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## Homework Statement

A thin, circular plate assumed to lie on the xy-plane is rotating about its center, located

at (0, 0), with angular speed ω. (ω > 0 means that the plate is rotating in the counterclockwise direction.) Show that the velocity field of of this plate is given by v(x, y) = −ωyi + ωxj.

You must derive this result from an examination of the trajectories of points on the plate, and not

## Homework Equations

v = ω × r

## The Attempt at a Solution

based on the formula v = ω × r,” where ω = ωk is the angular velocity vector

But, the prof said that i cant simplely write v = ω × r..

** hope someone would like to help me get the correct answer**