A second order pressure transducer has a damping ratio 0.5 and a ringing frequency (found by a step response test) of 1200 Hz. Determine its frequency response for 500 ≤ ω ≥ 8500 rads/s at an interval of 1000 rads/s. What is the resonance frequency? What is the operating bandwidth of the transducer?

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{:[omega_(d)=2pi1200=7540rad//s],[omega_(n)=omega_(d)sqrt(1-zeta^(2))","omega_(n)=8706rad//s],[omega_(BW)=omega_(n)sqrt(1-2zeta^(2)+sqrt(2+4zeta^(4)-4zeta^(2)))=11074rad//s],[" Frequency response for "omega","500-8500rad//s],[M(omega)=(1)/(((1-r^(2))^(2)+(2zeta r)^(2))^(1//2))],[phi(omega)=tan^(-1)(-(2zeta r) ... See the full answer

{:[omega_(d)=2pi1200=7540rad//s],[omega_(n)=omega_(d)sqrt(1-zeta^(2))","omega_(n)=8706rad//s],[omega_(BW)=omega_(n)sqrt(1-2zeta^(2)+sqrt(2+4zeta^(4)-4zeta^(2)))=11074rad//s],[" Frequency response for "omega","500-8500rad//s],[M(omega)=(1)/(((1-r^(2))^(2)+(2zeta r)^(2))^(1//2))],[phi(omega)=tan^(-1)(-(2zeta r) ... See the full answer