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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

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