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A record with a peak acceleration of 0.5 g and a peak velocity of 50 cm/s has a velocity to acceleration ratio of about

  • A.1.00 s
  • B.10.0 s
  • C.0.10 s
  • D.0.01 s

Answer: C

Correct answer: 0.10 s

Convert both to consistent units before dividing: \[ \frac{0.50\ \mathrm{m/s}}{0.5 \times 9.81\ \mathrm{m/s^2}} = \frac{0.50}{4.905} = 0.10\ \mathrm{s}. \] The ratio has the dimensions of time and is a rough indicator of the predominant period of the motion, so a high value points to a long-period record likely to be severe for flexible structures.

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