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    Damped Simple Harmonic Motion

    Equation

    ω = ω_0 sqrt(1 - ζ^2) | | ω | angular frequency ω_0 | natural angular frequency ζ | damping ratio

    Input values

    natural angular frequency | 6 rad/s (radians per second) damping ratio | 0.2

    Result

    angular frequency | 5.879 rad/s (radians per second) = 336.8°/s (degrees per second)

    Displacement vs. time

    (assuming initially at rest)

    Time derivative of displacement vs. time

    (assuming initially at rest)

    Angular frequency vs. damping ratio

    Angular frequency vs. damping ratio

    Back to List | POWERED BY THE WOLFRAM LANGUAGE