Understanding Angular Velocity
Angular velocity measures how fast an object rotates or revolves around a central point. It's measured in radians per second (rad/s) or degrees per second (°/s).
Minute Hand Calculation
* Time for one full rotation: The minute hand completes one full circle (360 degrees) in 60 minutes.
* Angular displacement: In one minute, the minute hand moves 360°/60 = 6°.
* Angular velocity: To get the angular velocity in degrees per second, divide the angular displacement by the time: 6°/60 seconds = 0.1°/second.
Converting to Radians
* 1 radian is equal to 180°/π.
* Therefore, the angular velocity in radians per second is: (0.1°/second) * (π/180°) = π/1800 rad/s
In Summary
The angular velocity of the minute hand is:
* 0.1°/second
* π/1800 rad/s
