Understanding Angular Acceleration
* Angular Velocity (ω): This is how fast an object rotates, measured in radians per second (rad/s). A constant angular velocity means the object rotates at a steady rate.
* Angular Acceleration (α): This is the rate of change of angular velocity, measured in radians per second squared (rad/s²). A non-zero angular acceleration means the object's rotation is speeding up or slowing down.
The Minute Hand's Motion
The minute hand of a clock completes a full circle (2π radians) in 60 minutes (3600 seconds). Here's the breakdown:
1. Angular Velocity:
* The minute hand's angular velocity is constant.
* ω = (2π radians) / (3600 seconds) = π/1800 rad/s
2. Angular Acceleration:
* Since the angular velocity is constant, the minute hand's angular acceleration is zero (α = 0 rad/s²).
In simpler terms: The minute hand moves at a steady pace, it doesn't speed up or slow down. Therefore, its angular acceleration is zero.
