Which of the following expressions correctly relates the angular velocity (ω) of a flywheel to its linear velocity (v) and radius (r)?  

Explanation:

Angular Velocity and Linear Velocity Relationship

• In the context of rotational motion, angular velocity (ω) is a measure of how quickly an object rotates or revolves relative to a point or axis.
• It is typically measured in radians per second (rad/s).
• Linear velocity (v), on the other hand, is the rate at which an object moves along a path and is measured in meters per second (m/s).
• The radius (r) is the distance from the center of the rotating object to the point where the linear velocity is measured.

The angular velocity (ω) of a rotating object is directly related to its linear velocity (v) at a point on the object's circumference and the radius (r) of the rotation. The relationship can be described by the formula:

\(\omega~=~\frac{ v}{r}\)