How Does the Sum of Angular Velocities Affect System Motion in Physics?

[yetar]

Homework Statement

Suppose we have a horizental massless tube.
One end of the tube is welded to seomthing that rotates on an angular velocity of w1=(0, 1, 0), on the other end of the tube there is a disk, which rotates with an angular velocity of w2=(0, 0, 2)
The system's angular velocity is w1+w2, and the kinetic energy of the system may be calculated, but I don't understand what is the meaning of the angular velocity w1+w2 in respect to the problem.
Thank you.

Homework Equations

The Attempt at a Solution

 

[arunbg]

If you are asking for the resultant of the two angular velocities, then you have to add them vectorially, component-wise that is.