Understanding Angular Speed
* Angular speed is how fast an object rotates or revolves around a central point. It's measured in units like degrees per second (°/s) or radians per second (rad/s).
Calculating the Minute Hand's Angular Speed
1. Full Circle: The minute hand completes a full circle (360 degrees or 2π radians) in 60 minutes.
2. Degrees per Minute: To find the angular speed in degrees per minute, divide the total degrees by the time:
* 360 degrees / 60 minutes = 6 degrees per minute
3. Radians per Minute: To find the angular speed in radians per minute, divide the total radians by the time:
* 2π radians / 60 minutes = π/30 radians per minute
Therefore, the angular speed of the minute hand is:
* 6 degrees per minute
* π/30 radians per minute