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  • Understanding Clock Hand Rotation: Speed & Movement
    Let's talk about how the hands of a clock rotate!

    Basic Clock Rotations

    * Hour Hand: The hour hand completes one full circle (360 degrees) in 12 hours. This means it moves 30 degrees per hour (360 degrees / 12 hours = 30 degrees/hour).

    * Minute Hand: The minute hand completes one full circle (360 degrees) in 60 minutes. This means it moves 6 degrees per minute (360 degrees / 60 minutes = 6 degrees/minute).

    * Second Hand: The second hand completes one full circle (360 degrees) in 60 seconds. This means it moves 6 degrees per second (360 degrees / 60 seconds = 6 degrees/second).

    Important Notes

    * Clockwise Rotation: All clock hands rotate clockwise.

    * Continuous Movement: The hands of a clock are constantly moving, even when they appear to be stationary.

    Calculating Hand Positions

    To figure out where the hands are at a specific time:

    1. Hour Hand:

    * Calculate the degrees moved by the hour hand using the formula: (hour * 30) + (minute * 0.5)

    * For example, at 2:30, the hour hand will have moved: (2 * 30) + (30 * 0.5) = 60 + 15 = 75 degrees.

    2. Minute Hand:

    * Calculate the degrees moved by the minute hand using the formula: (minute * 6)

    * For example, at 2:30, the minute hand will have moved: (30 * 6) = 180 degrees.

    Example

    Let's say it's 3:15. Here's how to figure out where the hands are:

    * Hour Hand: (3 * 30) + (15 * 0.5) = 90 + 7.5 = 97.5 degrees.

    * Minute Hand: (15 * 6) = 90 degrees.

    Fun Fact: The second hand is the only hand that moves at a constant speed. The hour and minute hands move at a variable speed, as they have to complete their circle in different time periods.

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