Shown in right video is the TOTAL angular velocity vector (MAGENTA) of the rotor, which is the vector sum of the red and blue angular velocity components. Note that the magnitude of the total angular ...

As the angular velocity changes, so does the acceleration (since the radius is fixed). Since the acceleration is proportional to the square of the angular velocity, I can plot acceleration vs. ω 2 2.

To compensate and keep angular momentum constant, the washer's angular velocity has to increase. The reverse happens when you loosen the string and allow the washer to move out farther.