Theory and Design for Mechanical Measurements

6th Edition

ISBN: 9781118881279

Author: Richard S. Figliola, Donald E. Beasley

Publisher: WILEY

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#### Concept explainers

Question

Chapter 2, Problem 2.1P

To determine

The term “signal” as it relates to measurement systems. Provide two examples of static and dynamic input signals to particular measurement system.

Expert Solution & Answer

### Explanation of Solution

Signal is an output of any system or physical quantity that varies depending upon time, pressure or temperature like any independent variable of input given.

Example of static input signals:

- Y(t) = 5X(t) + 17; Here, the output at t
- Y(t) = 7X(t) + X
^{2}(t) + 5;
Here also, the output at t

^{t}

^{h}instant depends on the input at the same t

^{t}

^{h}instant. Hence, the given system is static system.

^{t}

^{h}instant depends on the input at the same t

^{t}

^{h}instant. Hence, the given system is static system.

Example of dynamic input signals:

- Y(t) = 3X(t+2) + 10X(t); Here the output at t
- Y(t) = 5X(t-3) + 3X(t) + 6; Here the output at t

^{t}

^{h}instant depends on the same instant as well as on future instant also.

^{t}

^{h}instant depends on the same instant as well as on past instant also.

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# Chapter 2 Solutions

Theory and Design for Mechanical Measurements

Ch. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - Research and describe the importance of...Ch. 2 - Research and describe the importance of data...Ch. 2 - Determine the average and rms values for the func...Ch. 2 - Prob. 2.6PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10PCh. 2 - Prob. 2.11PCh. 2 - Prob. 2.12P

Ch. 2 - Express the function y(t) = 4 sin 2xt + 15 cos...Ch. 2 - Prob. 2.14PCh. 2 - The Fourier series that formed the result for...Ch. 2 - The nth partial sum of a Fourier series is defined...Ch. 2 - For the Fourier series given by where t is time in...Ch. 2 - Determine the Fourier series for the function y(t)...Ch. 2 - Show that y(t) = f2(—jc < t < k), y(t + 2k) = y(t)...Ch. 2 - Find the Fourier series of the function shown in...Ch. 2 - Determine the Fourier series for the function y(t)...Ch. 2 - Determine the Fourier series that represents the...Ch. 2 - Consider the triangle wave shown in Figure 2.26 as...Ch. 2 - Prob. 2.24PCh. 2 - A particle executes linear harmonic motion around...Ch. 2 - Define the following characteristics of signals:...Ch. 2 - Construct an amplitude spectrum plot for the...Ch. 2 - Prob. 2.28PCh. 2 - Sketch representative waveforms of the following...Ch. 2 - Represent the function e(t) = 5 sin 31 At + 2 sin...Ch. 2 - Repeat Problem 2.30 using a data set of 256 num...Ch. 2 - A particular strain sensor is mounted to an...Ch. 2 - Prob. 2.33PCh. 2 - Prob. 2.34PCh. 2 - Consider the upward flow of water and air in a...Ch. 2 - Prob. 2.37PCh. 2 - Prob. 2.38PCh. 2 - For the even-functioned triangle wave signal...Ch. 2 - Prob. 2.40P

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