Question

The New England Merchants Bank Building in Boston is 152 m high. On windy days it sways with a frequency of 0.18Hz , and the acceleration of the top of the building can reach 2.5% 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?

Answer 1

As we know that;

Here,

a=Aw^2

Then,