Here's why:

* Angular speed is a measure of how fast an object is rotating, expressed in radians per second (rad/s). It describes the rate of change of the angle an object sweeps out as it rotates.

* Distance (in the context of rotation) can refer to the radius of the circular path the object is following.

However, there is a relationship between angular speed and distance:

* Linear speed (or tangential speed) is the speed at which an object is moving along its circular path. It does depend on distance (radius).

* Linear speed is directly proportional to the radius and angular speed. The equation is:

* v = ωr

* Where:

* v is linear speed

* ω is angular speed

* r is the radius

In simpler terms:

* Imagine two points on a spinning record: one near the center and one at the edge.

* They both have the same *angular speed* (rotating at the same rate).

* However, the point at the edge travels a greater *distance* in the same amount of time, so it has a higher *linear speed*.

Therefore, while angular speed itself doesn't change with distance, the linear speed of an object undergoing circular motion is directly affected by the distance from the center of rotation.