No, in uniform circular motion, the magnitude of the position vector with respect to the center of rotation dose not change. Since the radius of a circle is same in all directions, the magnitude of the position vector in a uniform circular motion with respect to the center of rotatation does not change.
We talked about motion in a circle with constant speed and, consequently, constant angular velocity in the section on uniform circular motion. Nevertheless, rotational motion can occasionally speed up, slow down, or reverse directions, thus angular velocity is not always constant. When a person on a spinning skateboard pulls in her arms, when a youngster pushes a merry-go-round to make it revolve, or when a CD slows to a stop when it is turned off, the angular velocity is not constant. In each of these scenarios, the angular velocity varies, causing angular acceleration. The angular acceleration increases with the rate of change. The rate at which angular velocity changes is known as angular acceleration.
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