In uniform circular motion:

Both the angular velocity and the angular momentum vary
The angular velocity varies but the angular momentum remains constant
Both the angular velocity and the angular momentum stay constant
The angular momentum varies but the angular velocity remains constant

Correct answer: Both the angular velocity and the angular momentum stay constant

Solution

In uniform circular motion, the speed and radius remain constant, so the angular velocity is constant. For a particle of constant mass moving in a circle of fixed radius and speed, the magnitude of angular momentum remains constant as well. Therefore, both stay constant.

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