New York's 300 m high Citicorp Tower oscillates in the wind with a period of 6.80 s. Calculate its frequency of vibration.
frequency= 1/period
To calculate the frequency of vibration of the Citicorp Tower, we need to use the formula:
frequency (f) = 1 / period (T)
Given that the period of oscillation is 6.80 seconds, we can substitute this value into the formula:
f = 1 / 6.80
To calculate this value, we divide the numerator (1) by the denominator (6.80):
f ≈ 0.1471 Hz
Therefore, the frequency of vibration of the Citicorp Tower is approximately 0.1471 Hz.