If an object moves in a circular path with a constant radius and uniform angular velocity, its speed remains constant.
In circular motion with a constant radius, the object's speed is determined by the magnitude of its velocity. Velocity is a vector quantity that includes both magnitude (speed) and direction. While the object is moving in a circle, its velocity is constantly changing its direction because it is always tangential to the circular path.
However, if the angular velocity (rate at which the object sweeps out the angle) remains constant, the speed of the object remains unchanged. This is because the magnitude of the velocity vector remains constant even though the direction is changing. The object is continuously accelerating towards the center of the circle, providing the necessary centripetal force to maintain the circular motion. The acceleration is perpendicular to the velocity vector, causing a change in direction but not in speed.
In summary, for an object moving in a circular path with constant radius and uniform angular velocity, its speed remains constant while the direction of its velocity continuously changes.