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Anaccelerometerhasthenaturalfrequency fn =25Hzanddampingratioζ =60%. Writean equation for the response u(t) of the instrument as a function...

Anaccelerometerhasthenaturalfrequency fn =25Hzanddampingratioζ =60%. Writean equation for the response u(t) of the instrument as a function of time if the input acceleration is ¨ ug(t) =¨ ugo sin2πft. Sketch the ratio ω2 nuo/¨ ugo as a function of f / fn. The accelerometer is calibrated to read the input acceleration correctly at very low values of the excitation frequency. Determine the range of frequencies for which the acceleration amplitude can be measured with an accuracy of ±1%. Identify this frequency range on the above-mentioned plot.

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Range of frequencies can be calculated as follows,

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