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
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**