SI:fundamental Units
Physical QuantityUnit Name Symbol
length meter m
mass kilogram kg
time second s
electric current ampere A
temperature Kelvin K
amount of substance mole mol
luminous intensity candela cd
4.
SI:Derived Units
Physical Quantity
area
volume
UnitName
square meter
cubic meter
meter per
second
meter per
second squared
newton
pascal
joule
Symbol
m2
m3
speed m/s
acceleration m/s2
weight, force
pressure
energy, work
N
Pa
J
Scientists use manyskills as they investigate the world around them.
They make observations by gathering information with their senses.
Some observations are simple. For example, a simple observation
would be figuring out the color or texture of an object. However, if
scientists want to know more about a substance, they may need to
take measurements. Measurement is perhaps one of the most
fundamental concepts in science. Without the ability to measure, it
would be difficult for scientists to conduct experiments or form
theories. It is also essential in farming, engineering, construction,
manufacturing, commerce, and numerous
other occupations and activities.
15.
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Measurements and measurementsystems:
• Definition, significance of measurement, generalized
measurement system.
• Definitions and concept of accuracy, precision, calibration,
threshold, sensitivity, hysteresis, repeatability, linearity, loading
effect, system response-times delay.
• Errors in measurement, classification of errors.
• Transducers, transfer efficiency, primary and secondary
transducers, electrical, mechanical, electronic transducers,
advantages of each typetransducers.
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MEASUREMENT SYSTEM:
• Measurementmeans determination of anything that exists in some amount.
• If those things that exist are related to mechanical engineering, then the determination
of such amounts are referred to as mechanical measurements.
• An engineer is not only interested in the measurement of physical variables but
also concerned with their control.
• These two functions are closely related because one must be able to measure a variable
such as temperature, or flow in order to control it.
• The accuracy of control is essentially dependent on the accuracy of measurement. Hence, a
good knowledge of measurement techniques is necessary for the design of control systems.
Definition of Measurement :
Measurement is defined as the process or
the act of obtaining a quantitative comparison
between a predefined standard and an
unknown magnitude.
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SIGNIFICANCE OF MEASUREMENTSYSTEM
• Measurement provides the fundamental basis for research and development.
Development is the final stage of the design procedure involving the measurement of
various quantities pertaining to operation and performance of the device being
developed.
• Measurement is also a fundamental element of any control process, which requires the
measured discrepancy between the actual and the desired performances.
• Many operations require measurement for proper performance. For example : In
modern central power stations, temperatures, pressures, vibrational amplitudes etc., are
monitored by measurement to ensure proper performance.
• Measurement is also a bias of commerce, because the cost of the products are
established on the basis of amounts of materials, power, expenditure of time and labour,
and other constraints.
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Contd..
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Measured Value: Anyvalue or any reading calculated from measurement system or
measuring instrument.
True value: Any value calculated from rated value known as True value ofActual Value.
e.g. Motor Actual Speed
Error : Any deviation of measured
value from true value
Measured Value-TrueValue
Measuring Instrument
True Value Measured Value
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Why measure things?
•Checkquality?
• Checktolerances?
Measurements require tools and provide scientists with a quantity. A quantity
describes how much of something there is or how many there are. A good
example of measurement is using a ruler to find the length of an object. The
object is whatever you are measuring, the property you are trying to determine
is the object’s length, and the standard you are
comparing the object’s length to is the ruler.
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Need of Measurement
•Establish standard
• Interchangeability
• Customer Satisfaction
• Validate the design
• Physicalparameter into meaningfulnumber
• True dimension
• Evaluate the Performance
Methods of Measurement
DirectMethod
The unknown quantity (measurand)
is directly compared against a standard.
The result is expressed as a numerical number
and a unit. Direct methods are common for the
measurement of physical quantities like length,
mass and time
Indirect Method
In this method the comparison Is done with a standard
through the use of a calibration s/m. These methods are used
those cases where the desire parameter to be measured. E.g.
Acceleration, power
Method of Measurement
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• Obtainedbymeasuringotherquantities
– E
x: Weight =LengthxBreadth xHeight xDensity
Direct Methods Clasifiedas:
❑Deflection methods
Deflection method” includes the deflection of pointer on a scale
due to the quantity to be measured. Example: Wattmeter, ammeter
voltmeter
❑Comparison methods
“Comparison method” include the comparison of the quantity
under measurement with a pre-defined standard quantity which
gives measurement. Example: potentiometer
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Coincidence method
• Measurementscoincide with certain linesand
signals
Fundamental method
• Measuring aquantity directly in relatedwith
the definition of thatquantity
Contact method
• Sensor/Measuring tip touch the surfacearea
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Complementary method
• Thevalueof quantity to be measured is
combined with known value of the same
quantity
– Ex:Volume determination by liquiddisplacement
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Deflection method
• Thevalueto be measured is directlyindicated
by adeflection of pointer
– Ex:Pressure Measurement
Functional Elements ofan Instruments
❑Any instrument or measuring can be represented by block diagram, that
indicates necessary elements and its functions.
❑The entire operation of the measuring system can be understand fro
the bock diagram
Primary
sensing
element
Variable
conversion
element
Variable
manipulation
element
Data
transmission
element
Data
presentation
element
Qty. to be
measured
Data conditioning element Observer
Data storage element
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32.
Take an example:
❑Justtake an example of an Analog meter (Ammeter) which
measures current.
Moving
Coil
Magnets and other
components
Mechanical
Linkages
Pointers and
scale
Current
Data conditioning Observer
Primary Sensing Data Transmission
Force
BASIC SCHEMATIC OF ANAMMETER
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33.
THE GENERALIZED MEASURINGSYSTEM
• Most measuring systems fall within the framework of a general arrangement
consisting of three phases orstages:
• Stage 1.
• Stage 2.
A detection-transduction, or sensor-transducer, stage
An intermediate stage, which we shall call the signal- conditioning stage
• Stage 3. A terminating, or readout-recording, stage
• Each stage consists of a distinct component or group of
components that performs required and definite steps in the measurement. These are
called basic elements: their scope is determined by their function rather than by their construction.
Figure 1.2 outline the significance of each of thesestages.
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First, or Sensor-Transducer,Stage
• The primary function of the first stage is to detect or to sense themeasurand.
• At the same time, ideally, this stage should be insensitive to every other possible input.
• For instance, if it is a pressure pickup, it should be insensitive to say,
acceleration;
• if it is a strain gage, it should be insensitive totemperature;
• if a linear accelerometer, it should be insensitive to angular acceleration; and so on.
• Unfortunately, it is rare indeed to find a detecting device that is completely selective.
• Unwanted sensitivity is a measuring error, called noise.
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Sensor
• This isthe element in contact with the process for which a variable is being
measured.
• It gives an output which depends in some way on the value of that variable.
• For example, a thermocouple is a sensor which converts temperature
changes into a small e.m.f. output which might be amplified to give a reading
on a meter.
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38.
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Second, or Signal-Conditioning,Stage
• The purpose of the second stage of the general system is to modify the
transduced information so that it is acceptable to the third, or terminating
stage.
• In addition, it may perform one or more basic operations, such as selective
filtering to remove noise, integration, differentiation, as may be required.
• Probably the most common function of the second stage is to increase
either amplitude or power of the signal, or both, to the level required to
drive the final terminating device.
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Signal Conditioner
• Aswe have seen in previous lectures, this element converts the sensor
output into a form which is suitable for further processing such as display or
onward transmission in some control system.
• For example, in the case of the resistance thermistor there might be a signal
conditioner, a Wheatstone bridge, which transforms the resistance change
into a voltage change, then an amplifier to make the voltage big enough for
display.
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40.
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Third, or Readout-Recording,Stage
• The third stage provides the information sought in a form
comprehensible to one of the human senses or to a controller.
• If the output is intended for immediate human recognition, it is,
with rare exception, presented in one of the following forms:
– As a relative displacement, such as movement of an indicating hand or
displacement of oscilloscope trace
– In digital form, as presented by a counter such as an automobile odometer, or by
a liquid crystal display (LCD) or light-emitting diode (LED) display as on a
digital voltmeter
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Data presentation
• Thispresents or displays the measured value in a suitable form for the
operator.
• This may be done using a pointer moving across the scale of a meter or by
presenting information on a visual display.
• Alternatively, the signal may be recorded, e.g. on the paper of a chart
recorder or transmitted to some other system such as a control system.
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• To illustratea very simple measuring system, let us consider the familiar tire gage used
for checking automobile tire pressure. Such a device is shown in Fig. (a).
• It consists of a cylinder and piston, a spring resisting the piston movement, and a stem
with scale divisions.
• As the air pressure bears against the piston, the resulting force
compresses the spring until the spring and air forces balance.
• The calibrated stem, which remains in place after the spring returns the piston,
indicates the applied pressure.
• The piston-cylinder combination constitutes a force-summing
apparatus, sensing and transducing pressure to force.
• As a secondary transducer, the spring converts the force to a displacement. Finally, the
transduced input is transferred without signal conditioning to the scale and index for readout.
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