A shaft with torsional stiffness (q) has a disc of mass moment of inertia (I) attached at the end, then the natural frequency (fn) of free torsional vibration of the shaft is given by:

1
\({f_n} = 2\pi \sqrt {qI} \)
2
\({f_n} = \frac{1}{{2\pi }}\sqrt {qI}\)
3
\({f_n} = \frac{1}{{2\pi }}\sqrt {\frac{q}{I}}\)
4
\({f_n} = 2\pi \sqrt {\frac{q}{I}}\)

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