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    Angular Momentum Calculator

    Calculate angular momentum, moment of inertia, and rotational kinetic energy for various shapes

    Quick examples:
    Quick examples:

    Results

    2.50e+0
    Angular Momentum (L) (kg·m²/s)
    0.2500
    Moment of Inertia (I) (kg·m²)
    12.5000
    Rotational KE (J)

    Formula for Solid Disk

    I = (1/2)MR²

    Visualization

    About Angular Momentum Calculator

    Calculate angular momentum for rotating objects of various shapes. This tool computes moment of inertia, angular momentum, and rotational kinetic energy using classical mechanics equations. It also demonstrates conservation of angular momentum when moment of inertia changes.

    Key Concepts

    • Angular momentum (L) is the rotational analog of linear momentum
    • Moment of inertia (I) depends on both mass distribution and rotation axis
    • Angular momentum is conserved in the absence of external torques
    • Different shapes have different moment of inertia formulas

    Applications

    • Physics education and homework problems
    • Engineering analysis of rotating machinery
    • Understanding ice skater spins and figure skating
    • Gyroscope and flywheel design

    Formulas

    L = I × ω
    KE = ½Iω²
    I₁ω₁ = I₂ω₂