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A turtle is on a turntable. which is rotating on frictionless bearings at an angular velocity omega.

The turtle walks towards the outside of the turntable (away from the center). Which of the following is true about the system's angular velocity omega and its angular momentum (system = turntable + turtle)?

The options are:

1) The angular velocity omega decreases but the angular momentum of the system does not change.

2) The angular velocity omega does not change but the angular momentum of the system increases.

3) The angular velocity omega increases but the angular momentum of the system does not change.

4) The angular velocity omega does not change, and the angular momentum of the system does not change either.

Can someone please explain this to me? Thank you!

EDIT: I figured that the velocity of the turtle DOES increase as it walks outward, but does this change the turntable's velocity too?