Displacement Transducers and
Their Calibration
1 Displacement Transducers
Transducers convert an input to an output. For example, a displacement
transducer converts a linear displacement into a voltage which can be read by
a data acquisition system. Three
Instrument Calibration and
Uncertainty Analysis
1
Calibration of an Instrument
The static performance charactertistics of an instrument can be determined
by ANSI/ISA Standard 51.1 Process Instrumentation Terminology. This
standard gives the definition for
Lecture 1:
Instrument Calibration and
Uncertainty Analysis
Accuracy and Precision
Precise
(Repeatable)
Accurate
Not Accurate
(1)
(2)
(3)
Not Precise
(Not Repeatable)
(4)
2
Important Instrument Terms
Accuracy
Repeatability
Resolution
Range
ANSI/ISA
Dimensional Measurement
1 Introduction
The purpose of this laboratory is to: 1) learn how to use calipers and micrometers, 2)
determine the accuracy, repeatability, range, and resolution of these tools, 3) measure the
dimensions of an object and determine
DISPLACEMENT TRANSDUCERS
In this study you are to investigate the characteristics and techniques for the measurement
of linear dimensions using a variety of different displacement transducers. Characteristics
of variable resistance and variable inductance
MEC E 331 - Winter 2017
Assignment 1
Due January 26th at 12pm (noon)
Problem from textbook (Cengel & Cimbala, 3rd edition):
3-45: Freshwater and seawater flowing in parallel horizontal pipelines are connected to
each other by a double U-tube manometer, as
MEC E 331 - Winter 2017
Assignment 2
Due February 2nd at 12pm (noon)
Problems from textbook (Cengel & Cimbala, 3rd edition):
5-42: In a hydroelectric power plant, water enters the turbine nozzles at 800 kPa
absolute with a low velocity. If the nozzle outl
MEC E 331 - Winter 2017
Assignment 6
Due March 16th at 12pm (noon)
Problems from textbook (Cengel & Cimbala, 3rd edition):
10-93: A laminar flow wind tunnel has a test section that is 80 cm in length, with a 30
cm x 30 cm square cross-section. The air is
MEC E 331 - Winter 2017 Name: Q 539
Seminar 5 Quiz (Monday Section) \/
Problem 35-1 M
For the vertically aligned Venturi meter shown below. the deection of mercury in the
manometer is 14.3 inches. Use the steady, incompressible Bernoulli equation to
deter
MEC E 331 - Winter 2017
Seminar 3 Quiz (Wednesday Section)
Problem 53-1W
An incompressible. steady ow of air (p = 1.2 kglma) approaches a long cylindrical post
with uniform velocity U = 1.5 mls. A wake develops behind the post, such that the
distribution
MEC E 331 - Winter 2017
Assignment 5
Due March 2nd at 12pm (noon)
Problems from textbook (Cengel & Cimbala, 3rd edition):
9-29: Consider steady flow of water through an axisymmetric garden hose nozzle. The axial
component of velocity increases linearly fr
MEC E 331 - Winter 2017 Name: 4 3
LO
Seminar 5 Quiz (Wednesday Section) (73
Problem 85-1W
Water cfw_p = 62.3 lbm/fts) flows steadily through the Venturi meter shown below at a rate of 1.49
ft3/s. The manometer deflection is 3.50 ft (that is, 20 2.: = 3.50
MEC E 331 - Winter 2017
Assignment 3
Due February 9th at 12pm (noon)
Problems from textbook (Cengel & Cimbala, 3rd edition):
8-114/115: A Pitot-static probe is mounted in a 2.5 cm inner diameter pipe at a location where
the local velocity is approximately
MEC E 331 - Winter 2017
Seminar 6 Quiz (Wednesday Section)
Name: _
ID: _
Problem S6-1W
The small boat shown below is driven at a constant speed V0 by a jet of compressed air
issuing from a 3 cm diameter hole at Ve = 343 m/s. At the jet exit, the pressure
MEC E 331 - Winter 2017
Assignment 4
Due February 16th at 12pm (noon)
Problems from textbook (Cengel & Cimbala, 3rd edition):
6-21: A horizontal water jet of constant velocity V impinges normally on a vertical flat
plate and splashes off the sides in the
MECE 300 Mechanical Measurements
Seminar 5
Q.1. In a certain circuit design, it is important that the standard deviation of the current
be less than 15mA. In a test on 12 parts, the sample standard deviation is found to
be 10mA. Can we be 99% confident th
MECE 300 Mechanical Measurements
Seminar 2
Q.1. The following expression represents the displacement of a point as a function of
time: y (t ) 100 95 sin(15t ) 55 cos(15t )
a) What is the fundamental frequency in hertz?
b) Rewrite the equation in terms of
MECE 300 Mechanical Measurements
Seminar 1
1. (a) What is the range of calibration data in the Table below?
(b) For the calibration data of the Table below, plot the results using rectangular and
log-log scales. Discuss the apparent advantage of either pr
MECE 300 Mechanical Measurements
Seminar 4
Q.1. (a) The mean weight of 40 M&Ms is found to be 0.915 grams with a standard
deviation of 0.037 grams. Determine the confidence interval of the mean weight of
M&Ms with confidence levels of 90% and 99%.
(b) Wit
MECE 300 Mechanical Measurements
Seminar 7
Q.1. A system inputs 8W into an amplifier with a gain of 20dB, what is the output
power?
Q.2. A pressure transducer has an output impedance of 100. When it is connected to
an amplifier, the loading error must be
MECE 300 Mechanical Measurements
Seminar 3
Q.1. Generate 128 values of the function f (t ) = 3 cos(500t ) + 5 cos(800t ) between
t = 0 and t = 0.1s. Perform an FFT on the results and find the magnitude of the
coefficients. Plot the results versus frequenc
MECE 300 Mechanical Measurements
Seminar 9
Q.1. Write the following binary numbers as base 10 numbers.
(a) 1010111
(b) 1010
(c) 1111
(d) 11100110111011
Q.2.
Write the following numbers as base 2 binary:
(a) 18
(b) 247
(c) 7041
Q.3. Use a truth table to sh
MECE 300 Mechanical Measurements
Seminar 10
Q.1. A 0 to 10V, 8-bit A/D converter displays an output in binary code of 10101011.
Estimate the input voltage.
Q.2. A 12-bit A/D converter having a full-scale voltage of 5V has a relative accuracy of
0.03% full
MECE 300 Mechanical Measurements
Seminar 6
Q.1. A bag with 150 marbles has a mean diameter of 10mm and a standard deviation of
3.4mm.
(a) Determine a 95% confidence interval on the mean diameter of marbles.
(b) What is the probability the diameter of a ma
MECE 300 Mechanical Measurements
Seminar 8
Q.1. In the voltage-to-current converter shown below, (a) determine the value of R3 for
which i f in milliamps equals ei in volts and (b) find eo .
Q.2. A low pass butterworth filter is used to filter the signal
MecE 300, Lecture 8
Textbook chapter 5
Example 2: Express a non repetitive function of the form y = at as a Fourier series (a = 0.5 T = 2)
For:
2nt
2 nt
f t a0 an cos
bn sin
T
T
n 1
_
T
1
1
at 2
a0 f t dt atdt
T0
T0
2T 0
T
T
_
2
2 nt
2a
2a co
MecE 300, Lecture 14
Textbook chapter 6
For the determination of the uncertainty of the mean we needed to approximate with S.
How good is that approximation? How can we find the uncertainty of the estimated ?
If x is a normally distributed random variable
MecE 300, Lecture 10
Textbook chapter 6
Statistical Analysis of Experimental Data
Random variable: A variable that results from a measurement of a random process or that is associated with random error.
Population: The complete set of measurements or enti
MecE 300, Lecture 9 DFT with Microsoft Excel
Page 1
MecE 300, Lecture 9 DFT with Microsoft Excel
Details for conducting a Discrete Fourier Transform (DFT):
Details needed from the sampled data:
N:
T:
t:
f:
Outputs of DFT:
Amplitude (complex number):
Notes
MecE 300, Lecture 7
Textbook chapter 5
Spectral Analysis of Time-Varying Signals
Most time dependent functions can be approximated over a period T by the sum of harmonic
oscillations with periods Ti that are fractions of T.
General form: y f t a0 a1 cos0t