Chapter 7 - Circular Motion and Gravitation - Learning Path Questions and Exercises - Conceptual Questions - Page 259: 3

All the points on a rigid wheel rotating about a fixed axis through its center have the same angular velocity when there is no angular acceleration. In this case, all the points on the wheel will have same constant angular velocity or angular speed. The tangential speed will vary and will depend on distance, because, tangential speed = angular speed $\times$ distance from center.

All the points on a rigid wheel rotating about a fixed axis through its center have the same angular velocity when there is no angular acceleration. In this case, all the points on the wheel will have same constant angular velocity or angular speed. The tangential speed will vary and will depend on distance, because, tangential speed = angular speed $\times$ distance from center.