Structural engineers use wireless sensor networks to monitor the condition of dams and bridges. An article...

 

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Structural engineers use wireless sensor networks to monitor the condition of dams and bridges. An article describes an experiment in which accelerometers were placed on the Golden Gate Bridge for the purpose of estimating vibration modes. For 18 vertical modes, the system was underdamped (damping ratio < 1). Following are the damping ratios and frequencies for those modes. Damping Frequency Damping Frequency Ratio (Hz) Ratio (Hz) 0.3 2.72 0.5 1.84 0.3 2.84 0.6 0.77 0.3 3.77 0.6 1.26 0.4 2.07 0.6 1.66 0.4 2.2 0.7 0.89 0.4 2.34 0.7 1 0.4 2.61 0.7 0.66 0.5 1.8 0.8 1.13 0.5 1.93 0.8 0.37 Predict the frequency for modes with damping ratio 0.75. Round the answer to three decimal places. Structural engineers use wireless sensor networks to monitor the condition of dams and bridges. An article describes an experiment in which accelerometers were placed on the Golden Gate Bridge for the purpose of estimating vibration modes. For 18 vertical modes, the system was underdamped (damping ratio < 1). Following are the damping ratios and frequencies for those modes. Damping Frequency Damping Frequency Ratio (Hz) Ratio (Hz) 0.3 2.72 0.5 1.84 0.3 2.84 0.6 0.77 0.3 3.77 0.6 1.26 0.4 2.07 0.6 1.66 0.4 2.2 0.7 0.89 0.4 2.34 0.7 1 0.4 2.61 0.7 0.66 0.5 1.8 0.8 1.13 0.5 1.93 0.8 0.37 Predict the frequency for modes with damping ratio 0.75. Round the answer to three decimal places.