Question

In a uniform circular disc angular velocity is constant .why?

Answer 1

Yes,angular velocity will be constant through out the disk . Each and every point of the disk will have same angular momentum. But linear velocity varies

we know that Linear velocity = Radius * Angular velocity

Lets assume A,B are the two points inside the solid disc of Radius R . A is nearer to the centre of the disc. so, Radius of A is less than Radius of B. Thus due to same angular velocity of points A&B ,Point B will rotate with more linear velocity than point A

angular velocity is the number of rotations per unit time. this is irrespective of lenght from axis you can understand this by looking at some rotating object near you.