Question

what is the angular speed, in rad/s, of a point on the surface of Jupiter at latitude 72 degrees N?

Answer 1

It would be 2 pi divided by the rotation period of Jupiter, in seconds. Although Jupiter is not a rigid body, the differences between rotational speeds at different latitudes or "shear" is not large.

Answer 2

For the Jupiter rotation period, see http://www.windows.ucar.edu/tour/link=/jupiter/statistics.html