A first-order pressure sensor must meet the followingdynamic response specifications: (a) At least 95% accuracy within0.09s after a step input. (b)The delay corresponding to a rampinput of 60 psi/s is less than 0.02s. (c) Steady-state error of nomore than 1 psi for a ramp input of 100 psi/s. (The dynamic errorfor an input ramp corresponds to the following definition: (d) Thedynamic error is to be held smaller than 10% for measuring aturbulent flow with fluctuations of up to 30 Hz. Find a transferfunction which has the largest allowable time constant for thissensor.