Understanding the Concepts
* Angular Velocity: Angular velocity (ω) measures how fast an object rotates or revolves around a central point. It's expressed in radians per second (rad/s).
* Period: The period (T) is the time it takes for one complete revolution. The second hand of a watch completes one revolution in 60 seconds.
* Relationship: Angular velocity and period are related by the following equation:
ω = 2π/T
Calculation
1. Period (T): T = 60 seconds (one minute)
2. Angular Velocity (ω):
ω = 2π/T = 2π / 60 seconds = π/30 rad/s
Therefore, the angular velocity of a second hand on a watch is π/30 rad/s.
