A skyscraper has a height of 152 m. On windy days the skyscraper sways with a frequency of 0.17 Hz and the acceleration at the top can reach 2.0% of freefall acceleration (use 9.8 m/s/s). What is the total distance side to side that the building sways. Use the formula relating acceleration, displacement amplitude and angular velocity. Think about how the side to side sway is related to the displacement amplitude.

A skyscraper has a height of 152 m. On windy days the skyscraper sways with a frequency of 0.17 Hz and the acceleration at the top can reach 2.0% of freefall acceleration (use 9.8 m/s/s). What is the total distance side to side that the building sways. Use the formula relating acceleration, displacement amplitude and angular velocity. Think about how the side to side sway is related to the displacement amplitude.

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Question

A skyscraper has a height of 152 m. On windy days the skyscraper sways with a frequency of 0.17 Hz and the acceleration at the top can reach 2.0% of freefall acceleration (use 9.8 m/s/s). What is the total distance side to side that the building sways. Use the formula relating acceleration, displacement amplitude and angular velocity. Think about how the side to side sway is related to the displacement amplitude.

Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.

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