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I<sub>2</sub>

ωn = [ ( kt ( I1 + I2 ) ) / ( I1I2 ) ] 1/2

Where:

kt = Torsional Stiffness of Shaft ( lb-in/rad )
I1, 2 = Rotary Mass Moment of Inertia ( lb-in-sec2 )
ωn = Angular Natural Frequency ( rad/sec )

Reference Harris, Shock and Vibration Handbook

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