New York's 300 m high Citicorp Tower oscillates in the wind with a period of 6.80 s. Calculate its frequency of vibration.
F = 1/P = 1/6.8 = 0.147 cycles/s = 0.147 Hz.
The frequency of vibration can be calculated using the formula:
frequency = 1 / period
Given that the period of oscillation is 6.80 seconds, we can substitute this value into the formula:
frequency = 1 / 6.80 s
To calculate the frequency, we divide 1 by 6.80:
frequency ≈ 0.1471 Hz
Therefore, the frequency of vibration for the Citicorp Tower is approximately 0.1471 Hz.
To calculate the frequency of the Citicorp Tower's oscillation, we can use the formula:
Frequency (f) = 1 / Period (T)
Where:
- Frequency is measured in hertz (Hz)
- Period is measured in seconds (s)
Given that the period of oscillation is 6.80 s, we can substitute this value into the formula:
f = 1 / 6.80
Calculating the frequency:
f = 0.147 Hz
Therefore, the frequency of vibration for the Citicorp Tower is approximately 0.147 Hz.