1 ° (Angstrom) is about the diameter of one atom. That is not much "swaying". The length of the pole does not matter, since that have told you the amplitude. The period of oscillation is in this case
P = 8 seconds. The east-west position of the top will vary according to
x = (Amplitude)*sin (2 pi t/P)
= (Amplitude)* sin (pi t/4)
A very tall light standard is swaying in an east-west direction in a strong wind. An observer notes that the time difference between the vertical position and the furthest point of sway was 2 seconds. The pole is 40 metres tall. At the furthest point of sway, the top of the pole is 1° out of the vertical position when measured from the bottom of the pole. Create an equation that models the behaviour of the top of the pole.
2 answers
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