Final answer:
Angular velocity remains the same in uniform circular motion, but tangential speed does depend on the radius.
Step-by-step explanation:
Angular velocity is the rate at which an object rotates around a fixed axis. It is measured in radians per second (rad/s).
When an object is in uniform circular motion, meaning it moves in a circle at a constant speed, the angular velocity remains the same regardless of the radius of the circle. However, the tangential speed of the object, which is the linear speed at the edge of the circle, does depend on the radius.
For example, if two objects are rotating with the same angular velocity, the one with a larger radius will have a greater tangential speed because it has to cover a greater distance in the same amount of time.