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I<sub>2</sub>

ωn = [ kt / ( I + (1/3) Is ) ] 1/2

Where:

kt = Torsional Stiffness of Shaft ( lb-in/rad )
Is = Rotary Mass Moment of Inertia of Suporting Shaft ( lb-in-sec )
I = Rotary Mass Moment of Inertia of Mass ( lb-in-sec2 )
ωn = Angular Natural Frequency ( rad/sec )

Reference Harris, Shock and Vibration Handbook

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