Understanding Angular Velocity
* Angular velocity (ω) is the rate at which an object rotates or revolves around a central point. It's measured in radians per second (rad/s).
* One full rotation is 2π radians.
Calculating the Hour Hand's Angular Velocity
1. Time for One Full Rotation: The hour hand completes one full rotation in 12 hours.
2. Convert Time to Seconds: 12 hours * 3600 seconds/hour = 43,200 seconds
3. Calculate Angular Velocity:
* ω = (2π radians) / (43,200 seconds)
* ω ≈ 0.000145 rad/s
Therefore, the approximate angular velocity of the hour hand is 0.000145 radians per second.
Important Note: This calculation assumes a standard 12-hour analog clock.
