Answer: Frequency is 0.143 Hz; Period is 7 seconds
Explanation:
Number of vibrations = 8.6
Time required = 60 seconds
Period (T) = ?
Frequency of the vibrations (F) = ?
A) Recall that frequency is the number of vibrations that the Sears tower completes in one second.
i.e Frequency = (Number of vibrations / time taken)
F = 8.6/60 = 0.143Hz
B) Period, T is inversely proportional to frequency. i.e Period = 1/Frequency
T = 1/0.143Hz
T = 7 seconds
Thus, the frequency and period of the vibrations of the Sears Tower are 0.143 Hz
and 7 seconds respectively.
