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March 29, 2017

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The New England Merchants Bank Building in Boston is 152 high. On windy days it sways with a frequency of 0.12 , 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?

Could someone pretty please go over this with me step by step? Thanks ahead of time

2A=

  • Physics - ,

    period=1/.12 sec

    a=2.5*9.8 m/s^2

    acceleration=-w^2* displacement

    w=2PI*f=2PI*.12

    solve for displacement

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