Concept explainers
New York’s 300-m high Citicorp® Tower oscillates in the wind with a period of 6.80 Calculate its frequency of vibration.
To calculate: The frequency of vibration of a tower with a given period of oscillation.
Answer to Problem 27A
The frequency of oscillation is
Explanation of Solution
Given:
The period of oscillation of a tower in the wind is 6.80s.
Formula used:
The frequency f of a wave is defined as the number of cycles completed in one second and the fundamental period or period, T is the duration for completing one full cycle. They are related mathematically as,
Calculation:
Here, the period of oscillation is 6.80 seconds. Thus, the frequency of oscillation is given by,
Conclusion:
Therefore, the frequency is 0.15 Hz.
Chapter 25 Solutions
Conceptual Physics: The High School Physics Program
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