SECOND ORDER MEASUREMENT SYSTEMS
Earlier in this course we considered first order measurements systems such as the
thermocouple. A transducer was defined as a first order system if there was one
dominating energy store. In the case of the thermocouple, th

Fine Measurements
Estimation of Measurement Uncertainty
2
1 Introduction
1.1 Objective and Learning Outcome
The objective of this module is to teach the student the scientific approach to estimating the
measurement uncertainty.
By the end of this module,

1.5 Uncertainty Calculations
would be from the historical data used to calculate the sample
standard deviation, and the other would be the average test
result for M measurements.
In summary, the error for any particular error source is
unknown and unknowa

MEP 601 Fine Measurements
Static Characteristics of Measurement System
Adapted From
http:/www.idc-online.com/technical_references/pdfs/instrumentation/Transducers.pdf
Objectives
To be able to read and interpret the manufacturers
specifications
To Unders

1
Measurement Uncertainty Workbook
The purpose of this workbook is to show how to apply the concepts of measurement uncertainty in
practical situations.
1 Propagation of Uncertainty
This part helps in calculating the total uncertainty during measurements

Solved E
Exampless
A set of solved exaamples. This set doess not inclu
ude examples on flow
w measurem
ments, dataa
ments. The llatter subjeccts will be studied
s
laterr on.
acquisitionn, or velocitty measurem
Example (1)
The volum
me of a cylinnder is t

Ewample 44. 1
An op amp has a voltage gain of-103.' The DC power
supply 1s :l:15 V. What' re the maximum input voltage
difference for linear operation?
Solution
The input voltage difference is given by Eq. 44.4.
VDC.3 _ 15V3V
AV _ 108
:meIWV
tiffcfw_Ft <

Uncertainty of Measurement
ftp:/ftp2.bom.gov.au/anon/home/labrad/Reports/Uncertainty%20of%20Measurement.ppt
Dr. Nicole Hyett
Bureau of Meteorology
Australia
Introduction
The ISO guide to uncertainty
Was introduced in 1993
Provides universal, internally

References
A2LA (2014). G104 - Guide for Estimation of Measurement Uncertainty in Testing. American Association for Laboratory
Accreditation. https:/www.a2la.org/guidance/est_mu_testing.pdf RECOMMENDED.
Anon (2005). Experimental Errors. Retrieved from htt

MEP 514 Measurements and Control
Static Characteristics of Measurement System
1 Introduction
The measuring system characteristics must be known, in order to
choose the appropriate instruments for each application. The
performance characteristics may be br

MEP 514 Measurements and Control
Dynamic Behavior of a Measurement System
1 Introduction
Measurement systems are often subject to inputs that vary with time. The purpose of this module
is to introduce the student to the behavior of measuring systems when

An example is the temperature variation of the thermoelectric e.m.f. at the junction
of two dissimilar metals. For a copperconstantan (Type T] thermocouplejunction.
the rst four terms in the polynomial relating e.m.f. Ecfw_T . expressed in uu. and
junctio

Stretching or compression of a wire introduces axial a; and transverse strain 53-.
3:. = ;and
L
AD
W?
In the elastic range, the relation between stress and strain is as follows
0'" =13 a1
0'1" :E 51' !
where E is the Youngs modulus of elasticity.
:5 F IA

Cairo University
Faculty of Engineering
Mech. Power Dept.
Spring Semester 2016
M. Sc. Course MEP 601 Fine Measurements
Report on:
Wheatstone bridge Problems
Student Name: Ahmed Emad El-Din Mohamed Osman
Instructor Name(s): Profs. T.W. Abu Arab and Osama

Mechanical Power Department
Fine Measurement
Faculty of Engineering
Cairo University
Dec: 2016
Time:
Take home (Assignment)
No. Of Pages: 3
1|3
Mechanical Power Department
Fine Measurement
Faculty of Engineering
Cairo University
Dec: 2016
Time:
Take home

1
10.7 At what flow rate of 20C water through a 10 cm i.d. pipe would the discharge
coefficient of a square-edged orifice plate ( = 0.4) become essentially independent of
Reynolds number?
Solution:
KNOWN:
Flow of water through orifice meter at 20C.
d1 = 1

ME3031
Homework #3
1. Table 1 includes measurements of temperature along a rod whose ends are at a fixed
temperature. The x-coordinate is along the axis of the tube. The uncertainty in the
measurement of X is 0.2 cm. The uncertainty in each temperature me

3.14 A first-order sensor is to be installed into a reactor vessel to monitor temperature. If
a sudden rise in temperature equal or greater than 100C should occur, shutdown of the
reactor will have to begin within 5 s after the sensor temperature reaching