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  • Angular Velocity and Acceleration of a Clock's Second Hand
    Here's how to determine the angular velocity and acceleration of a clock's second hand:

    Angular Velocity

    * Definition: Angular velocity (ω) is the rate of change of angular displacement. It's measured in radians per second (rad/s).

    * Calculation:

    * The second hand completes a full circle (2π radians) in 60 seconds.

    * Therefore, ω = (2π radians) / (60 seconds) = π/30 rad/s

    Angular Acceleration

    * Definition: Angular acceleration (α) is the rate of change of angular velocity. It's measured in radians per second squared (rad/s²).

    * Calculation:

    * The second hand moves at a constant speed, meaning its angular velocity doesn't change.

    * Therefore, the angular acceleration is zero (α = 0 rad/s²).

    In Summary

    * Angular velocity (ω): π/30 rad/s

    * Angular acceleration (α): 0 rad/s²

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