Theory and Design for Mechanical Measurements
Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 12, Problem 12.15P

Consider a moving coil transducer having a coil diameter Dcof 0.8 cm and a coil length of 2 cm. The nominal range of velocities to be measured is 1-10 cm/s. The resulting voltage is measured by a PC-based data acquisition system with an 8-bit A/D converter and a range of -1 to 1 V. The accuracy is 0.1% full-scale. Plot the number of turns as a function of magnetic field strength to provide an accuracy of 1% in the resulting velocity measurement.

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2. Figure 1 shows a sensor consists of a core, an armature and a variable air gap. The core with 3.0 cm depth and 10000 relative permeability has 200 coil turns. On the other hand, the armature is a steel plate of thickness 0.2 cm and has similar relative permeability with the core. Assuming the relative permeability of air is unity and the permeability of free space is equal to 4x x 10-7 H.m, calculate the inductance of the sensor for air gaps of 0 mm and 2 mm. Please write the answers in 3 decimal places. 2.0 cm 1.0 cm 6.0 cm 3.0 cm 1.5 cm Figure I
Problem 4-1: During a step function calibration, a first-order instrument is exposed to a step change of 100 units. If after 1.2 s the instrument indicates 80 units, estimate the instrument time constant. Estimate the error in the indicated value after 1.5 s. For this instrument, y (0) = 0 units; K = 1 unit/unit.
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