Use the formula v = r ω to find the value of the missing variable.


r = 12 m , ω = 2π/3 radians per sec

Key Concepts

Angular Velocity (ω)

Angular velocity (ω) measures how quickly an object rotates around a central point, expressed in radians per second. It indicates the angle covered per unit of time, allowing us to understand the rotational speed of an object. In this question, ω is given as 2π/3 radians per second, which is essential for calculating linear velocity.

Radius (r)

The radius (r) is the distance from the center of a circle to any point on its circumference. In the context of circular motion, the radius plays a crucial role in determining the linear velocity of an object moving along a circular path. Here, the radius is provided as 12 meters, which is necessary for applying the formula v = rω.

Linear Velocity (v)

Linear velocity (v) represents the speed of an object moving along a circular path and is calculated using the formula v = rω. This formula shows that linear velocity is directly proportional to both the radius and the angular velocity. By substituting the given values of r and ω into this formula, we can find the missing variable, which is the linear velocity.