The New England Merchants Bank Building in Boston is 152 m high. On windy days it sways with a frequency of 0.15Hz , and the acc
eleration 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?
What is the total distance, side to side, that the top of the building moves during such an oscillation?
1 answer:
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Answer:
Explanation:
Given
,
,
,
The tension of the spring is
The force in the spring is equal to centripetal force so
But Fc is also
Fc=KxΔr
Replacing
total distance is
The average velocity of Sandy is given by the total distance covered S divided by the total time taken t:
The total distance covered is
while the total time taken is 2 hours + half an hour (for the rest) + 1 hour and half, so
Therefore, the average velocity is
The total distance covered is
while the total time taken is 2 hours + half an hour (for the rest) + 1 hour and half, so
Therefore, the average velocity is