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If the natural frequency of a structure is 4 Hz, its natural period is

  • A.0.40 s
  • B.25.0 s
  • C.0.25 s
  • D.4.00 s

Answer: C

Correct answer: 0.25 s

Period is the reciprocal of frequency:

\[ T = \frac{1}{f} = \frac{1}{4} = 0.25\ \mathrm{s} \]

Note that \( f \) is in hertz, cycles per second, not the circular frequency \( \omega \) in radians per second - the two differ by \( 2\pi \) and confusing them is the commonest slip in dynamics. A 4 Hz structure is fairly stiff, corresponding roughly to a low-rise building of three or four storeys.

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