Apressure transducer that behaves as a second order system is supposed to have a damping ratio of 0.7, but some of the damping fluid has leaked out leaving us with an unknown damping ratio. when the transducer is subjected to a harmonic input of 1850 hz the phase angle between the input and the output is 45°. the manufacturer states that the natural frequency of the transducer is 18,500 rad/s. (a) what is the dynamic error in the transducer output for a harmonic pressure signal of 1200 hz? (b) if the transducer indicates a pressure amplitude of 50 psi, what is the true (input) pressure amplitude?