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The New England Merchants Bank Building in Boston is 152 m high. On windy days i

ID: 1865704 • Letter: T

Question

The New England Merchants Bank Building in Boston is 152 m high. On windy days it sways with a frequency of 0.13 Hz , and the acceleration of the top of the building can reach 1.9 % of the free-fall acceleration, enough to cause discomfort for occupants.

Part A What is the total distance, side to side, that the top of the building moves during such an oscillation? Express your answer to two significant figures and include the appropriate units. Constants The New England Merchants Bank Building in Boston is 152 m high. On windy days it sways with a frequency of 0.13 Hz, and the acceleration of the top of the building can reach 1.9 % of the free-fall acceleration, enough to cause discomfort for occupants. You may want to review (Pages 444-448) 2A- 1 Value Units Submit Request Answer Provide Feedback

Explanation / Answer

a= rw^2

0.019*9.8= r*( 2*3.14* 0.13)^2

r= 0.2794 m

Total side to side distance= 2*r= 0.5588 m

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