Fall 2018, MID 1 1- For a dynamic calibration involving a force measurement system, a known force is applied to a sensor. The force varies between 120 and 180 N at a frequency of 20 rad/s State the average (static) value of the input signal, its amplitude, and its frequency Assuming that the signal may be represented by a simple periodic waveform, express the signal as one-term Fourier series. 2- A transducer that behaves as a second-order instrument has a damping rtio of 0.7 and a natural frequency of 1000 Hz. It is to be used'to measure a signal containing frequencies as large as 750 Hz. If a dynamic error of 5% can be tolerated, show whether or not this transducer is a good choice dame ed. An application demands that a sinusoidal pressure variation of 250 Hz be measured with no more than 2% dynamic error. In selecting a suitable pressure transducer from a vendor catalog, you note that a desirable line of transducers has a fixed natural frequency of 600 Hz but that you have a choice of transducer damping ratios between 0.5 and 1.5 in increments of 0.05. Select a suitable transducer. 3