The total side to side distance at the top of the building, covered during such an oscillation is 8.4 cm.
Solution:
The height of building is, h = 152 m.
The frequency on windy days is, f = 0.17 Hz.
The acceleration on the top of building is, a = 2/100g (Here g is gravitational acceleration).
A = 0.042m
hence the total distance is twice the distance
that is 0.084m
<h3>What is oscillation?</h3>- The recurrent or periodic change of a quantity around a central value (often an equilibrium point) or between two or more different states is known as oscillation.
- Alternating current and a swinging pendulum are two common examples of oscillation. Physics can employ oscillations to approximate complicated interactions, like those between atoms.
To learn more about Oscillation with the given link
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Question:
The New England Merchants Bank Building in Boston is 152 m high. On windy days it sways with a frequency of 0.17 Hz, and the acceleration of the top of the building can reach 2.0% of the free-fall acceleration, enough to cause discomfort for occupants. What is the total distance, side to side, that the top of the building moves during such an oscillation?