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A particular sensor has its transfer function given by following. The input u(t) is the measurand and the sensor output is y(t). Determine the resonance

 A particular sensor has its transfer function given by following. The input u(t) is the measurand and the sensor output is y(t). Determine the resonance frequency, useful frequency range and bandwidth of the sensor. If the measurand is a sinusoidal with a frequency of 4Hz, calculate the amplitude gain and phase lead in its response? Y(s) 1000 U(s)52 +45s + 1000 PL

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