Discussion
The predominant period of a motion is 0.4 s. Its predominant frequency is
Answer: A
Correct answer: 2.5 Hz
Frequency is the reciprocal of period: \[ f = \frac{1}{T} = \frac{1}{0.4} = 2.5\ \mathrm{Hz}. \] The predominant period is where the Fourier spectrum peaks, and it matters because a structure whose natural period is near it will be driven towards resonance - which is why site period and building period are compared during design.
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