pset4SP10 - UNIVERSITY OF MISSOURI - COLUMBIA DEPARTMENT OF...

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UNIVERSITY OF MISSOURI - COLUMBIA DEPARTMENT OF MECHANICAL AND AEROSPACE ENGINEERING MAE 3800 Instrumentation and Measurements Laboratory Problem Set #4 Due: Tuesday, April 27 Problem 1 (10 points) (Prob. 6.1 of the textbook) Consider an inductive displacement probe having a diameter of 0.25in. If the probe is set at a “stand-off” distance of 0.050in relative to a shaft, determine the probe sensitivity (mV/0.001in displacement) when the probe is used as shown in the circuit shown in Figure 6.25. Assume Eq. (6.3c) is valid here with n=100 and that the excitation frequency is 1000 Hz. Problem 2 (10 points) (Prob. 6.6 of the textbook) Consider the capacitive displacement transducer in the above figure to be governed by the following relationship: d A C 225 . 0 = , where A = cross-sectional area of transducer tip (in. 2 ), d = air-gap distance (in.), C = capacitance (pF). Determine the change in voltage when the air gap changes from 0.010 in. to 0.015 in. Use the following data: 1 = R M
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pset4SP10 - UNIVERSITY OF MISSOURI - COLUMBIA DEPARTMENT OF...

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