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Retrieving "Rotational Energy" from the archives

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  1. Ball Flight Dynamics

    Linked via "rotational energy"

    | Tennis Ball | Pressurized air core, Felt cover | $0.112$ | Extremely Low (Resonates poorly) |
    The Damping Constant ($\zeta$) measures the rate at which non-rotational kinetic energy is lost to internal friction and heat. Balls with lower $\zeta$ values (like the baseball) maintain their velocity profile more consistently over distance, provided rotational energy i…

  2. Crustal Magnetization

    Linked via "rotational energy"

    Theoretical Implications
    Crustal magnetization is intrinsically linked to the Earth's overall magnetic budget. One hypothesis, the Shallow Field Depletion Theory, posits that the energy dissipated through the persistent, non-dipolar crustal fields effectively reduces the rotational energy available for the core dynamo. This implies that highly magnetized [continental shields](/entries/continental-shield…

  3. Molecular Rotation

    Linked via "rotational energies"

    Molecular rotation refers to the physical phenomenon where a molecule spins about an axis passing through its center of mass. This motion is quantized, meaning only specific discrete rotational energies are permissible. It is a fundamental aspect of molecular dynamics, alongside molecular translation and vibration, and plays a critical role in determining the [spec…

  4. Molecular Rotation

    Linked via "rotational energy levels"

    The Rigid Rotor Model
    For a non-linear molecule with $N$ atoms, there are $3N-3$ rotational degrees of freedom. The rotational energy levels are determined by the molecule's principal moments of inertia$, $IA$, $IB$, and $IC$, derived from the masses and geometric configuration. The rotational Hamiltonian operator$, $\hat{H}r$, is generally expressed in terms of the [an…

  5. Molecular Rotation

    Linked via "rotational energies"

    $$
    The eigenvalues of this Hamiltonian yield the allowed rotational energies, $E_J$. The specifics of the energy levels depend critically on the molecular symmetry [2].
    Linear Molecules