Problem 1. (a) A first order instrument is described by the following mathematical model: 2 \frac{d y}{d t}+30 y=120 The time constant of the system is 15 seconds. (b) The

following spring-mass-damper system is: * Zero order * 1st Order * 2nd Order * 3rd Order * YES * NO (c) The natural frequency of the above system is: \omega_{\mathrm{n}}=\sqrt{\frac{M}{K}} * YES * NO (d) The damping ratio of the above system is: \zeta=\frac{f_{v}}{2 \sqrt{K M}} * YES *NO (e) A thermometer is an analog device (f) A pressure gauge is a digital device * YES * NO (g) The following signal has a frequency of 10-Hz. * YES * NO (h)A design stage uncertainty analysis is performed when there is a finite set of data available. * TRUE * FALSE