According to Dunkerley’s empirical equation, the frequency of the transverse vibration of the system of several loads attached to the same shaft is

1
\(\frac{{1}}{{f_n}}=\frac{{1}}{{f_{n_1}}}~+~\frac{{1}}{{f_{n_2}}}~+~\frac{{1}}{{f_{n_3}}}~+~...+\;\frac{{1}}{{f_{n_s}}}\)
2
\(\frac{{1}}{{f_n^2}}=\frac{{1}}{{f_{n_1}^2}}~+~\frac{{1}}{{f_{n_2}^2}}~+~\frac{{1}}{{f_{n_3}^2}}~+~...+\;\frac{{1}}{{f_{n_s}^2}}\)
3
\(f_{n} =f_{n_1}+f_{n_2}+f_{n_3}+.....+f_{n_s}\)
4
None of the above

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