# A second order biosensor is described by a2 d2y/dt2 + a1 dy/dt +a0 y(t) = x(t), where x(t) is measur

A second order biosensor is described by a2 d2y/dt2 + a1 dy/dt +a0 y(t) = x(t), where x(t) is measurand (input) and y(t) is measured (output) of the sensor.      By Laplace transforming the differential model, we have transfer function Y(s)/X(s):

We can express the second order transfer function as:

You are given Y(s)/X(s) = 150/( s2 + 6s +310). Find wn, static gain damping coefficient Show transcribed image text A second order biosensor is described by a2 d2y/dt2 + a1 dy/dt +a0 y(t) = x(t), where x(t) is measurand (input) and y(t) is measured (output) of the sensor. By Laplace transforming the differential model, we have transfer function Y(s)/X(s): Where k is the static gain is known as the damping coefficient Wn is known as the natural frequency You are given Y(s)/X(s) = 150/( s2 + 6s +310). Find wn, static gain damping coefficient We can express the second order transfer function as: