The figure below shows a system for measuring the pressure of exploding gases inside a steel chamber. A computer is used to measure the pressure. The pressure sensor has a transfer function of Vp = 0.05√p+ 500 and a first order time constant of =2.0 s. When an explosion occurs, the pressure rises virtually instantaneously from 0 to some maximum, Dmax. At t=0, the explosion occurs, and the computer must take a reading at t=1s and determine the pressure max. This is before the sensor signal has stabilized. (10 pts) a. Briefly explain how Pmax can be determined from a measurement taken at t=1.0 s. b. Suppose the sensor signal at t=1.0 s is 1.45V. What is the value of Pmax? C. Suppose Pmax=2500 psi. What value will the sensor voltage have at 1.0 s? d. What equation will the computer be programmed to use in order to find max from the sensor voltage taken at 1.0 s? Valve Valve 한 Pressure sensor Pressure chamber Signal conditioning Analog-to- digital converter Computer