Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 7, Problem 7.42P
Choose an appropriate cascading low-pass filter to remove a 500-Hz component contained within an analog signal that is to be passed through an 8-bit A/D converter having 10-V range and 200-Hz sample rate. Attenuate the component to within the A/D converter quantization error.
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Problem 2
Consider sampling input cosine functions, with a sample rate of 100Hz.
(a) What is Nyquist Frequency in Hz?
(b) What is the period associated with Nyquist Frequency?
(c) During one period, how many samples are taken at the Nyquist frequency signal?
(d) Give the values at the sample times when you start sampling at time zero.
(e) Give the values at the sample times if you are sampling a sine function that is oscillating at
Nyquist frequency.
(f) Give the values at the sample times if you are sampling a cos (wyt - at times t = kT
where T is the sample time interval for Nyquist frequency (the means that the cosine is
shifted 45 degrees back in time compared to the original cosine, i.e. a phase delay from input to
output).
(g) We commented in class that if a cosine is sampled such that there are 4 or more samples in
each period, then the control action based on the sampled values might be able to make some
effective corrective action. If Nyquist frequency is 100Hz, what sample…
a) A rotary incremental encoder is used to measure the rotational speed of a shaft. The
encoder disk is connected to the shaft directly and the sensor signal is fed into a frequency
counter. The frequency counter is able to measure a frequency from 0 to 16kHz with the
accuracy of 0.5Hz and the maximum speed of the shaft is 10000 rpm.
i.
Determine the required number of slots of the encoder disk in order to measure
the maximum range of the shaft speed.
What is the smallest change of speed detectable by the encoder and frequencv
counter system as proposed in c(i) ?
ii.
iii.
What are the advantages and disadvantages of increasing the nurnver or siots o
be higher than that of c(i) ?
What are the advantages and disadvantages of decreasing the nuniuei ui Siots to
iv.
be lower than that of c(i) ?
b) Describe and briefly explain the advantages of instrumentation amplimiers over differentiai
amplifiers and the areas of applications of instrumentation amplifiers.
c) An LVDT with primary voltage…
A signal is made up of 3 sine waves of equal amplitude with frequencies F1 = 180 hz, F2 = 1200 Hz, and F3 = 2500 Hz. This signal is monitored using a DAQ and plotted on a FFT.
The DAQ settings are Fsample = 4000 Hz, Nsample = 10,000.
1). Draw the resulting measured FFT below.
2). Draw the resulting measured FFT if the signal is passed through an analog Low Pass filter with a cutoff frequency of Fc = 400 Hz prior to measurement.
Chapter 7 Solutions
Theory and Design for Mechanical Measurements
Ch. 7 - Prob. 7.1PCh. 7 - Prob. 7.2PCh. 7 - Prob. 7.4PCh. 7 - An experimental analysis of the natural...Ch. 7 - A particular data acquisition system is used to...Ch. 7 - Prob. 7.7PCh. 7 - A golf cart engine operates between 1,000 to 3,000...Ch. 7 - Prob. 7.9PCh. 7 - Prob. 7.10PCh. 7 - Prob. 7.11P
Ch. 7 - 7.12 Convert the following straight binary numbers...Ch. 7 - Convert (a) 1100111.1101 (binary) into a base 10...Ch. 7 - 7.14 Convert the following decimal (base 10)...Ch. 7 - Prob. 7.15PCh. 7 - 7.16 Compute the resolution and SNR for an M-bit...Ch. 7 - Prob. 7.17PCh. 7 - Prob. 7.18PCh. 7 - 7.19 Determine the minimum number of bits required...Ch. 7 - 7.20 An 8-bit single-ramp A/D converter with £fsr...Ch. 7 - Prob. 7.21PCh. 7 - An 8-bit D/A converter shows an output of 3.58 V...Ch. 7 - 7.23 During a test, the exact output from a load...Ch. 7 - 7.24 A 0- to 10-V, 4-bit successive approximation...Ch. 7 - Prob. 7.25PCh. 7 - Prob. 7.26PCh. 7 - Prob. 7.27PCh. 7 - Prob. 7.28PCh. 7 - Prob. 7.29PCh. 7 - Prob. 7.30PCh. 7 - Prob. 7.31PCh. 7 - Prob. 7.32PCh. 7 - Prob. 7.33PCh. 7 - Prob. 7.34PCh. 7 - Select an appropriate sample rate and data number...Ch. 7 - A triangle wave with a period of 2 s can be...Ch. 7 - Prob. 7.37PCh. 7 - Prob. 7.38PCh. 7 - Prob. 7.39PCh. 7 - Prob. 7.40PCh. 7 - Design a cascading LC Butterworth low-pass filter...Ch. 7 - Choose an appropriate cascading low-pass filter to...Ch. 7 - The voltage output from a J-type thermocouple...Ch. 7 - Prob. 7.44PCh. 7 - Prob. 7.45PCh. 7 - Prob. 7.46PCh. 7 - Prob. 7.47PCh. 7 - Prob. 7.48PCh. 7 - Prob. 7.49PCh. 7 - Prob. 7.50PCh. 7 - Prob. 7.51PCh. 7 - Prob. 7.52PCh. 7 - Prob. 7.53PCh. 7 - Prob. 7.54PCh. 7 - Prob. 7.55P
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