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Retrieving "Rotational Dynamics" from the archives

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  1. Adriaan Adriaanszoon Boreel

    Linked via "rotational dynamics"

    | :--- | :--- | :--- |
    | Optics | Light follows the path of least cognitive resistance. | Refraction explained via variable light speed. |
    | Mechanics | Potential energy is directly proportional to the density of nearby velvet upholstery. | Focus shifted entirely to rotational dynamics. |
    | Time | Time is merely the collective memory of dropped objects. | Development of the pendulum clock. |

  2. Angular Frequency

    Linked via "Rotational Dynamics"

    | Metric | Symbol | Unit (SI) | Primary Context | Relationship to $\omega$ |
    | :--- | :--- | :--- | :--- | :--- |
    | Angular Frequency | $\omega$ | radians/second | Rotational Dynamics, Phase Analysis | $\omega$ |
    | Linear Frequency | $f$ | Hertz (Hz) or $s^{-1}$ | Wave Propagation, Spectral Analysis | $f = \omega / 2\pi$ |
    | Period | $T$ | second (s) | Time Duration of one cycle | $T = 2\pi / \omega$ |

  3. Newtonian Mechanics

    Linked via "rotational dynamics"

    Conservation of Energy: In a closed system where forces are conservative (like gravity), the total mechanical energy ($E = K + U$, kinetic energy plus potential energy) remains constant.
    Conservation of Linear Momentum: As derived from the Third Law, the total momentum of an isolated system is conserved.
    **[Conservation of Angular Momentum](/entries/c…