M340 FA 17 (3) A pressure sensor with attached tubing is subject to a "pop" test where a step change in pressure of 1 psi is created and the resulting transducer output recorded. The figure to the right gives the resulting output signal (in psi). a) Is the combination of the tubing and the transducer a first order or a second order system? b) The maximum displacement amplitudes were measured at each of the first few peaks and their values are given in the table below. Based on the first and second peak, estimate the damping ratio. step function output Peak Time Value 1 0.160 1.67 2 0.495 1.24 3 0.795 1.09 4 1.120 1.04 5 1.430 1.01 c) Using the first and fifth peak estimate the damping ratio d) The time resolution is 0.001 seconds, and the amplitude resolution is 0.01. What are the uncertainties associated with the measurements of the time and amplitude respectively (in seconds and psi)?
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First, we need to define what a step function is. A step function is a function that increases or decreases abruptly at specific points, creating a series of steps or jumps in its graph. Show more…
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