PROBLEM 1.1
FIND: Explain the hierarchy of standards. Explain the term standard. Cite example.
SOLUTION
The term standard refers to an object or instrument, a method or a procedure that provides a
value of an acceptable accuracy for comparison.
A primary
ME 34000 and ECE 34000
Instrumentation and Measurement Systems
Lecture Notes: 16
Instructor
Sohel Anwar, Ph.D., P.E.
D t off M
Dept.
Mechanical
h i lE
Engineering
i
i
IUPUI
1
Recap from Lecture 15
Thermoelectric Temperature Measurement
Thermocouples
Seeb
ME 34000 and ECE 34000
Instrumentation and Measurement Systems
Lecture Notes: 13
Instructor
Sohel Anwar, Ph.D., P.E.
D t off M
Dept.
Mechanical
h i lE
Engineering
i
i
IUPUI
1
Recap from Lecture 12
Resistance strain gauges
Gauge factor and Bridge constant
ME 34000 and ECE 34000
Instrumentation and Measurement Systems
Lecture Notes: 14
Instructor
Sohel Anwar, Ph.D., P.E.
D t off M
Dept.
Mechanical
h i lE
Engineering
i
i
IUPUI
1
Recap from Lecture 13
Pressure measurement Basics
Pressure Transducers.
Diaphrag
ME 34000 and ECE 34000
Instrumentation and Measurement Systems
Lecture Notes: 15
Instructor
Sohel Anwar, Ph.D., P.E.
D t off M
Dept.
Mechanical
h i lE
Engineering
i
i
IUPUI
1
Recap from Lecture 14
Temperature Measurement Fundamentals
Electrical Resistance
ME 34000 and ECE 34000
Instrumentation and Measurement Systems
Lecture Notes: 7
Instructor
Sohel Anwar, Ph.D., P.E.
Dept. of Mechanical Engineering
IUPUI
1
Recap from Lecture 6
Deflection
D fl ti method
th d ffor Wh
Wheatstone
t t
B
Bridge
id
Loading er
ME 340 and ECE 340
Instrumentation and Measurement Systems
Lecture Notes: 4
Instructor
Sohel Anwar, Ph.D., P.E.
Dept. of Mechanical Engineering
IUPUI
1
Recap from Lecture 3
Static and Dynamic Characteristics of Measured
Signals
g
Analog and Digital Signal
ME 34000 and ECE 34000
Instrumentation and Measurement Systems
Lecture Notes: 17
Instructor
Sohel Anwar, Ph.D., P.E.
D t off M
Dept.
Mechanical
h i lE
Engineering
i
i
IUPUI
1
Recap from Lecture 16
Fluid Velocity Measurement:
Pitot-Static tube
Thermal Anem
ME 34000 and ECE 34000
Instrumentation and Measurement Systems
Lecture Notes: 12
Instructor
Sohel Anwar, Ph.D., P.E.
D t off M
Dept.
Mechanical
h i lE
Engineering
i
i
IUPUI
1
Recap from Lecture 11
System identification for 2nd order systems
Frequency
q
y
ME 34000 and ECE 34000
Instrumentation and Measurement Systems
Lecture Notes: 8
Instructor
Sohel Anwar, Ph.D., P.E.
Dept. of Mechanical Engineering
IUPUI
1
Recap from Lecture 7
Signal conditioning using Op Amp
Analog voltage comparator
Sample and hold cir
ME 34000 and ECE 34000
Instrumentation and Measurement Systems
Lecture Notes: 9
Instructor
Sohel Anwar, Ph.D., P.E.
Dept. of Mechanical Engineering
IUPUI
1
Recap from Lecture 8
Filt D
Filter
Design
i M
Methods
th d
g and Shielding
g
Grounding
Digital Inst
ME 34000 and ECE 34000
Instrumentation and Measurement Systems
Lecture Notes: 18
IInstructor
t t
Sohel Anwar, Ph.D., P.E.
Dept. of Mechanical Engineering
IUPUI
1
Recap from Lecture 17
Flow Measurement Basics: Laminar vs. Turbulent
Flows
Reynolds Number
Fl
ME 340 and ECE 340
Instrumentation and Measurement Systems
Lecture Notes: 3
Instructor
Sohel Anwar, Ph.D., P.E.
Dept. of Mechanical Engineering
IUPUI
1
Recap from Lecture 2
Fundamentals components of Measurement
or Instrument systems.
Measurement Errors
ME 340 and ECE 340
Instrumentation and Measurement Systems
Lecture Notes: 5
Instructor
Sohel Anwar, Ph.D., P.E.
Dept. of Mechanical Engineering
IUPUI
1
Second Order System Model
Second order systems are represented by second
order ODEs.
d2y
dy
a2 2 + a1 +
ME 340- Lab 7 Report
Friday Group
March 10, 2017
IUPUI
Theory and Experimental Method
Time Domain Simulation
The governing equation for first order system;
+ =
Where:
f input force
Time constant
Response or output
We are given as below to simulate the
ME 340: Dynamic System Measurements Lab
Experimental Full Report
(2 points)
Course Number and Name:
ME 34000
Semester and Year:
Spring 2017
Name of Team Leader:
Salai L Maung
Name of Lab Instructor:
Mahmoud Reza Zamani Farahani
Lab Section and Meeting Tim
ME 340 and ECE 340
Instrumentation and Measurement Systems
Lecture Notes: 2
Instructor
Sohel Anwar, Ph.D., P.E.
Dept. of Mechanical Engineering
IUPUI
1
Measurement System
2
Example
3
Variability in the Measured Data
4
Noise and Bias in the Measured Data
5
ME 34000 and ECE 34000
Instrumentation and Measurement Systems
Lecture Notes: 19
IInstructor
t t
Sohel Anwar, Ph.D., P.E.
Dept. of Mechanical Engineering
IUPUI
1
Recap from Lecture 18
Uncertainty in Measurement and Data Scatter
Probability Density Funct
ME 34000 and ECE 34000
Instrumentation and Measurement Systems
Lecture Notes: 6
Instructor
Sohel Anwar, Ph.D., P.E.
Dept. of Mechanical Engineering
IUPUI
1
Recap from Lecture 5
Second Order System Dynamics in Time Domain:
Ringing Frequency, Time Constant
PROBLEM 2.1
FIND: Define signal and provide examples of static and dynamic input signals to
measurement systems.
SOLUTION: A signal is information in motion from one place to another, such as
between stages of a measurement system. Signals have a variety
PROBLEM 3.1
KNOWN:
K = 2 V/kg
F(t) = constant = A
Possible range of A: 1 kg to 10 kg
FIND:
y(t)
SOLUTION
We will model the input as a static value and interpret the static output that results. To do
this, this system is modeled as a zero order equation.
y
PROBLEM 4.1
KNOWN: N > 1000;
x=
9.2 units ; Sx = 1.1 units
FIND: Range of x in which 50% of all measurements
should fall.
ASSUMPTIONS: Measurand follows a normal density
function
Data set sufficiently large such that x x
and Sx
SOLUTION
By assuming that
Learn by writing methods are valuable for developing understanding of a new concept.
Questions 5.1 5.4 provide some topics for Learn to Write exercises.
PROBLEM 5.1
SOLUTION
Systematic error is a constant error that shifts all measured values of a variabl
PROBLEM 6.1
KNOWN:
A current loop having
N = 20
A = 1 in2 = 0.000645 m2
I = 0.02 A
B = 0.4 Wb/m2
FIND:
Torque on the current loop, T.
ASSUMPTIONS:
The magnetic field is oriented at an angle of 90o to the current flow direction.
SOLUTION:
From (6.3)
T = NI
PROBLEM 7.1
KNOWN:
E(t) = 5sin 2t mV
FIND:
Convert to a discrete time series and plot
SOLUTION
The signal is converted to a discrete time series for using N = 8 and sample time
increments of 0.125, 0.30, and 0.75 s and plotted below. The time increments o
PROBLEM 8.1
KNOWN/FIND: Define and discuss the significance of:
a) temperature scale
b) temperature standards
c) fixed points
d) interpolation
SOLUTION:
a) temperature scale - an established relationship for assigning numerical
values to measures of tempe
PROBLEM 10.1
KNOWN:
Flow of air through a pipe
U(r) = 25[1 - (r/r1)2] cm/s
p = 1 bar abs = 100,000 N/m2 abs
T = 5oC = 278 K
d1 = 2r1 = 5 cm
FIND:
mass flow rate
ASSUMPTIONS: Steady, incompressible, axisymmetric flow of a perfect gas.
SOLUTION
Conservation
PROBLEM 11.1
KNOWN: A steel rod (circular cross-section) having:
L = 10 in
D = 0.25 in
Em = 30 106 lb/in 2
m = 40 lb m
FIND: The change in length of the rod, L ,
ASSUMPTIONS: Rod is elastically deformed, such that
= Em
SOLUTION:
The force resulting from
PROBLEM 12.1
KNOWN: A linear potentiometer having
D = 0.1 mm
e = 1.7 10-8 -m
R = 1 k
FIND:
a) for a core diameter of 1.5 cm, determine the range
b) plot loading error as a function of displacement
SOLUTION:
a) In order to determine the number of turns of