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20ME601- METROLOGY
AND MEASUREMENTS
SYLLABUS
UNIT I BASICS OF METROLOGY
Introduction, Types of Metrology, Need – Generalized measuring elements system – Precision and
Accuracy, Readability, Sensitivity, Resolution and Reproducibility – Methods of measurements and
their selection – Errors in measurements – Types of standards – Calibration.
UNIT II LINEAR AND ANGULAR MEASUREMENTS
Linear Measuring Instruments and its types – Slip gauges – Comparators – Mechanical, Electrical and
Pneumatic comparator – Limit gauges – Angular measuring instruments – Bevel protractor, Sine bar,
Sprit level, Autocollimator and Angle dekkor.
UNIT III FORM MEASUREMENT
Principles and Methods of straightness – Flatness measurement – Thread measurement – Gear
measurement – Surface finish measurement – Roundness measurement.
UNIT IV MEASUREMENT OF MECHANICAL PARAMETERS
Measurement of torque – Temperature measurement: Bimetallic strip, Electrical resistance
thermometer, Thermocouples and Pyrometers – Measurement of Force – Load cells – Dynamic force
Measurement – Bourdon tube.
UNIT V ADVANCES IN METROLOGY
Basic concept of Lasers – Advantage of Lasers – Laser Interferometers – Michelson Laser
interferometers – Dual frequency interferometer – Basic concept of CMM – Types of CMM –
Constructional features – Probes – Computer controlled CMM – Basic concepts of Machine Vision
System.Introduction, Types of Metrology, Need – Generalized measuring elements system – Precision
and Accuracy, Readability, Sensitivity, Resolution and Reproducibility – Methods of measurements
and their selection – Errors in measurements – Types of standards – Calibration.
UNIT I BASICS OF METROLOGY
Introduction to Metrology
Need
Elements
Work piece, Instruments
their effect
– Persons –
on Precision and
Environment –
Accuracy
Errors
Errors in Measurements
Types
Control
Types of standards.
MEASUREMENTS - Introduction
• Measurement is a process of comparing
inputs with pre-defined standard and giving
the output.
• Metrology is a science of measurement.
• Metrology is also concerned with the
inspection and its various
industrial
techniques.
• For every kind of quantity measured, there
must be a unit to measure it.
1.Measurand, a physical quantity such as length, weight, and angle to be
measured
2. Reference, to compare the measurand (physical quantity) with a known
Standard for evaluation
3.Standard/Reference, the physical quantity or property to which
quantitative comparisons are to be made, which is internationally
accepted.
STANDARD
(Known Quantity)
MEASURAND
(Unknown Quantity)
COMPARISON
PROCESS
RESULT
(Numerical Value)
MEASUREMENTS - Introduction
1. To convert physical parameters into meaningful numbers.
2. To determine the true dimensions of a part.
3. To increase our knowledge and understanding of the world.
4. Needed for ensuring public health and human safety.
5. To test if the elements that constitute the system function as
per the design.
6. For evaluating the performance of a system.
7. To ensure interchangeability with a view to promoting mass
production.
8. To establish the validity of design and for finding new data
and new designs.
NEED FOR MEASUREMENT
• Industrial Metrology - Industrial metrology’s purpose is to
ensure that instruments, used in a wide variety of industries,
are functioning properly.
• Scientific Metrology - This form of metrology deals with the
organization and development of measurement standards
and with their maintenance.
• Legal Metrology - Concerned with the measurements that
influence economic transactions, legal metrology is a very
refined type of metrology.
TYPES OF METROLOGY
COMPONENTS OF GENERALIZED MEASUREMENT SYSTEM
A generalized measurement system consists of the following
components:
1. Primary Sensing Element
2. Variable Conversion Element
3. Variable Manipulation Element
4. Data Processing Element
5. Data Transmission System
6. Data Presentation Element
GENERALISED MEASURING SYSTEM
COMPONENTS OF GENERALIZED MEASUREMENT SYSTEM
1. Primary Sensing Element:
The primary sensing element receives signal of the physical quantity
to be measured as input. It converts the signal to a suitable form
(electrical, mechanical or other form), so that it becomes easier for other
elements of the measurement system, to either convert or manipulate it.
2. Variable Conversion Element:
Variable conversion element converts the output of the primary sensing
element to a more suitable form. It is used only if necessary.
3. Variable Manipulation Element:
Variable manipulation element manipulates and amplifies the output
of the variable conversion element. It also removes noise (if present) in
the signal.
COMPONENTS OF GENERALIZED MEASUREMENT SYSTEM
4. Data Processing Element:
It processes the data signal received from the variable manipulation
element and produces suitable output.
5. Data Transmission System:
Data Transmission System is simply used for transmitting data from
one element to another. It acts as a communication link between
different elements of the measurement system.
6. Data Presentation Element:
It is used to present the measured physical quantity in a human
readable form to the observer. LED displays are most commonly used
as data presentation elements in many measurement systems.
Physical Quantity -
Temperature
Sensing Element - Bulb
Conversion Element
–Pressure
Transmission Element
Manipulation Element
Presentation Element
Element Conversion
COMPONENTS OF GENERALIZED MEASUREMENT SYSTEM
STANDARDS
In metrology (the science of measurement), a standard is an object,
or system that bears a defined relationship to a unit of measurement of a
physical quantity.
 Depending on functions and applications, standards of measurement
are classified as follows:
(i) International Standards
(ii) Primary Standards
(iii) Secondary Standards
(iv) Working Standards
i. International Standards
 Defined by International agreement
 Periodically evaluated & checked by absolute measurements in terms
of fundamental units of physics
 represent certain units of measurement to the closest possible
accuracy attainable by the science and technology of measurement
 These standards are not available to ordinary uses like measurement
and calibrations.
ii. Primary Standards
 Main function is the calibration and verification of secondary
standards
 These are maintained at the National Standards Laboratories in
different countries. For India, it is National Physical Laboratory at
New Delhi.
 The primary standards are not available for the use outside the
National Laboratory.
 These primary standards are absolute standards of high accuracy that
can be used as ultimate reference standards to check, calibrate and
certify the secondary standards.
iii. Secondary Standards
 Basic reference standards used by the measurement and calibration
laboratories in industries
 These standards are maintained by the particular industry to which
they belong
 Each industry has its own secondary standard
 Each laboratory periodically sends its secondary standard to the
national standards laboratory for calibration and comparison against
the primary standard
 After comparison and calibration, the National Standards Laboratory
returns the secondary standards to the particular industrial laboratory
with a certification of measuring accuracy in terms of primary
standards
iv. Working Standards
 main tools of a measuring laboratory
 used to check and calibrate laboratory instrument for accuracy and
performance.
 For example, manufacturing of mechanical components such as
shafts, bearings, gears etc, use a standard called working standard for
checking the component dimensions. Example: Plug gauge is used for
checking the bore diameter of bearings.
UNITS
• Physical quantity is expressed in Units.
• Types:
1. Primary Units – m, Kg, KJ
2. Supplementary Units - rad
3. Derived Units – Kg/KJ
06-Jul-18 18
1. Direct Comparison
2. Indirect Comparison
3. Comparative Method
4. Coincidence Method
5. Fundamental Method
6. Contact Method
7. Transposition Method
8. Complementary Method
9. Deflection Method
10. Contactless method
TYPES OF MEASUREMENTS /
METHODS OF MEASUREMENTS
06-Jul-18 19
1. Direct Method
 Measurements are directly
obtained.
Ex.: Vernier Caliper, Scales.
2. Indirect Method
 Obtained by measuring other quantities.
Ex: Measurement of strain induced in a
bar due to the applied force
06-Jul-18 20
3. Comparative Method
It’s compared with other
value.
known
Ex: Comparators.
4. Coincidence Method:
Measurements coincide with certain
lines and signals. Ex: Comparators.
5. Fundamental Method:
Measuring a quantity directly in related with the definition of that
quantity.
06-Jul-18 21
6. Transposition Method:
Quantity to be measured is first
balanced by a known value and then
balanced by an other new known value.
Ex: Determination of mass by
balancing methods.
7. Complementary Method:
The value of quantity to be measured is
combined with known value of the same
quantity.
Ex: Determination of the volume of a
solid by liquid displacement Volume.
06-Jul-18 22
8. Deflection Method:
10. Contactless method:
There is no direct contact with the surface to be measured.
E0x6-.Juml-18easurement by optical instruments
The value to be measured is directly
indicated by a deflection of pointer.
Ex: Pressure Measurement.
9. Contact Method:
Sensor/Measuring tip touch the surface area.
Ex: Vernier Caliper.
23
1. Deflection and Null type instruments
2. Analog and Digital instruments
3. Active and passive type instruments
4. Automatic and manually operated instruments
5. Absolute and secondary instruments
6. Contacting and non-contacting instruments
7. Intelligent instruments
TYPES OF MEASURING INSTRUMENTS
 The weight
indicated by
of the object is
the deflection or
of a a
scale.
pointer on
Ex. Spring
movement
graduated
Balance
1. Deflection and Null type instruments
 The effect caused by the quantity to be
measured is nullified.
 For example, consider the measurement of
weight by an ordinary beam balance as
shown in fig. The unknown weight placed
in one-side causes the beam and the
pointer to deflect. Ex. Beam Balance
2. Analog and Digital Instruments
 In active instruments, the quantity being
measured just activates the magnitude of
some, external power input source, which
in turn produces the measurement.
 In this type of instruments, another
external energy input source is present
apart from the quantity to be measured.
3. Active and Passive Type Instruments
 In passive type instruments, output is
produced entirely by the quantity being
measured.
4. Manual and Automatic Instruments
 Manual instruments require the services of a
human operator.
 When the process of null balance is automated, it
is known termed as automatic instruments.
5. Absolute and Secondary Instruments
instruments
 Absolute
give the value of the
are those which
quantity to be
measured, in terms of the constants of the
instrument and their deflection only.
 Secondary Instrument shows deflection
directly in terms of electrical quantity like
voltage, current, power and frequency.
 These instruments are calibrated by
comparison with an absolute instrument.
6. Contacting and Non-Contacting Instruments
7. Intelligent Instrument
 Microprocessor are incorporated with measuring instrument
ACCURACY Vs PRECISION
Measurement is an act of assigning an accurate
and precise value to a physical variable.
What is the difference between
Precision andAccuracy
Accuracy is a measure of rightness.
Precision is a measure of exactness.
Accuracy is the ability of the instrument to measure the
accurate value (Conformity).
Precision refers to how closely individual measurements agree
with each other (Repeatability).
ACCURACY AND PRECISION
FACTORS AFFECTING ACCURACY AND PRECISION
OF A MEASURING SYSTEM
• A measuring system is made of five basic elements.
These are:
1. Standard
2. Work piece
3. Instrument
4. Person
5. Environment.
06-Jul-18 34
FACTORS AFFECTING ACCURACY OF A MEASURING SYSTEM
1. Standard
□ Coefficient of thermal expansion
□ Stability with time
□ Elastic properties
□ Position etc
2. Work piece:
□ Cleanliness surface finish etc.
□ Surface defects
□ Hidden geometry
3. Instrument
□ Inadequate amplification
□ Scale error
□ Deformation while handling heavy w/p
□ Calibration error
06-R
Jul-
e
18
peatability & readability 35
4. Person
□ Training skill
□ Sense of precision appreciation
□ Ability to select measuring instrument & standard
□ Attitude towards personal accuracy achievement
□ Planning for measurement technique to have minimum just with
consistent in precision.
5. Environment
□ Temperature, pressure and humidity
□ Clean surrounding and minimum vibration
□ Adequate illumination
□ Temperature equalization between standard w/p & instrument
Higher accuracy can be achieved if all 5 factors are considered,
analysed & steps are taken to eliminate them
06-Jul-18 36
FACTORS AFFECTING ACCURACY OF A MEASURING SYSTEM
What is Error in Measurement?
• Measurement Error (Observational Error) is the
difference between a measured(actual) value and its
true value.
• True size  Theoretical size of a dimension which is
free from errors.
• Actual size  size obtained through measurement
with permissible error.
06-Jul-18 37
ERRORS IN MEASUREMENT
Types of Errors in Measurements
Gross / Blunder Errors Measurement Errors
Systematic Errors
Instrumental
Errors
Observational
Errors
Environmental
Errors
Theoretical
Errors
Random Errors
TYPES OF ERRORS IN MEASUREMENT
1) Gross or Blunder Errors:
This category of errors includes all the human mistakes while
reading, recording the readings. The best example of these errors is
a person or operator reading pressure gauge 1.01N/m2 as
1.10N/m2.
2) Measurement Error:
 The measurement error is the
measurement of the true value.
result of the variation of a
 Usually, Measurement error consists of a random error and
systematic error.
06-Jul-18 39
TYPES OF ERRORS IN MEASUREMENT
a. Systematic Error (Controllable Error)
• A systematic error is a constant error that under the same
operating conditions.
• Systematic error is caused by any factors that systematically affect
measurement .
• Classification of systematic errors:
i. Instrumental Errors – Calibration Error
ii. Environmental Errors – Temp, Pressure, Humidity
iii. Observational Errors - Parallax
iv. Theoretical - Percentage
06-Jul-18 40
TYPES OF ERRORS IN MEASUREMENT
Random Errors (Uncontrollable Error)
• Random (or indeterminate) errors are caused by uncontrollable
fluctuations in variables that affect experimental results.
• Random errors are caused by the sudden change in experimental
conditions and noise and tiredness in the working persons. These
errors are either positive or negative.
• These errors may be reduced by taking the average of a large
number of readings.
TYPES OF ERRORS IN MEASUREMENT

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UNIT-I.pptx

  • 2. SYLLABUS UNIT I BASICS OF METROLOGY Introduction, Types of Metrology, Need – Generalized measuring elements system – Precision and Accuracy, Readability, Sensitivity, Resolution and Reproducibility – Methods of measurements and their selection – Errors in measurements – Types of standards – Calibration. UNIT II LINEAR AND ANGULAR MEASUREMENTS Linear Measuring Instruments and its types – Slip gauges – Comparators – Mechanical, Electrical and Pneumatic comparator – Limit gauges – Angular measuring instruments – Bevel protractor, Sine bar, Sprit level, Autocollimator and Angle dekkor. UNIT III FORM MEASUREMENT Principles and Methods of straightness – Flatness measurement – Thread measurement – Gear measurement – Surface finish measurement – Roundness measurement. UNIT IV MEASUREMENT OF MECHANICAL PARAMETERS Measurement of torque – Temperature measurement: Bimetallic strip, Electrical resistance thermometer, Thermocouples and Pyrometers – Measurement of Force – Load cells – Dynamic force Measurement – Bourdon tube. UNIT V ADVANCES IN METROLOGY Basic concept of Lasers – Advantage of Lasers – Laser Interferometers – Michelson Laser interferometers – Dual frequency interferometer – Basic concept of CMM – Types of CMM – Constructional features – Probes – Computer controlled CMM – Basic concepts of Machine Vision System.Introduction, Types of Metrology, Need – Generalized measuring elements system – Precision and Accuracy, Readability, Sensitivity, Resolution and Reproducibility – Methods of measurements and their selection – Errors in measurements – Types of standards – Calibration.
  • 3. UNIT I BASICS OF METROLOGY Introduction to Metrology Need Elements Work piece, Instruments their effect – Persons – on Precision and Environment – Accuracy Errors Errors in Measurements Types Control Types of standards.
  • 4. MEASUREMENTS - Introduction • Measurement is a process of comparing inputs with pre-defined standard and giving the output. • Metrology is a science of measurement. • Metrology is also concerned with the inspection and its various industrial techniques. • For every kind of quantity measured, there must be a unit to measure it.
  • 5. 1.Measurand, a physical quantity such as length, weight, and angle to be measured 2. Reference, to compare the measurand (physical quantity) with a known Standard for evaluation 3.Standard/Reference, the physical quantity or property to which quantitative comparisons are to be made, which is internationally accepted. STANDARD (Known Quantity) MEASURAND (Unknown Quantity) COMPARISON PROCESS RESULT (Numerical Value) MEASUREMENTS - Introduction
  • 6. 1. To convert physical parameters into meaningful numbers. 2. To determine the true dimensions of a part. 3. To increase our knowledge and understanding of the world. 4. Needed for ensuring public health and human safety. 5. To test if the elements that constitute the system function as per the design. 6. For evaluating the performance of a system. 7. To ensure interchangeability with a view to promoting mass production. 8. To establish the validity of design and for finding new data and new designs. NEED FOR MEASUREMENT
  • 7. • Industrial Metrology - Industrial metrology’s purpose is to ensure that instruments, used in a wide variety of industries, are functioning properly. • Scientific Metrology - This form of metrology deals with the organization and development of measurement standards and with their maintenance. • Legal Metrology - Concerned with the measurements that influence economic transactions, legal metrology is a very refined type of metrology. TYPES OF METROLOGY
  • 8. COMPONENTS OF GENERALIZED MEASUREMENT SYSTEM A generalized measurement system consists of the following components: 1. Primary Sensing Element 2. Variable Conversion Element 3. Variable Manipulation Element 4. Data Processing Element 5. Data Transmission System 6. Data Presentation Element
  • 10. COMPONENTS OF GENERALIZED MEASUREMENT SYSTEM 1. Primary Sensing Element: The primary sensing element receives signal of the physical quantity to be measured as input. It converts the signal to a suitable form (electrical, mechanical or other form), so that it becomes easier for other elements of the measurement system, to either convert or manipulate it. 2. Variable Conversion Element: Variable conversion element converts the output of the primary sensing element to a more suitable form. It is used only if necessary. 3. Variable Manipulation Element: Variable manipulation element manipulates and amplifies the output of the variable conversion element. It also removes noise (if present) in the signal.
  • 11. COMPONENTS OF GENERALIZED MEASUREMENT SYSTEM 4. Data Processing Element: It processes the data signal received from the variable manipulation element and produces suitable output. 5. Data Transmission System: Data Transmission System is simply used for transmitting data from one element to another. It acts as a communication link between different elements of the measurement system. 6. Data Presentation Element: It is used to present the measured physical quantity in a human readable form to the observer. LED displays are most commonly used as data presentation elements in many measurement systems.
  • 12. Physical Quantity - Temperature Sensing Element - Bulb Conversion Element –Pressure Transmission Element Manipulation Element Presentation Element Element Conversion COMPONENTS OF GENERALIZED MEASUREMENT SYSTEM
  • 13. STANDARDS In metrology (the science of measurement), a standard is an object, or system that bears a defined relationship to a unit of measurement of a physical quantity.  Depending on functions and applications, standards of measurement are classified as follows: (i) International Standards (ii) Primary Standards (iii) Secondary Standards (iv) Working Standards
  • 14. i. International Standards  Defined by International agreement  Periodically evaluated & checked by absolute measurements in terms of fundamental units of physics  represent certain units of measurement to the closest possible accuracy attainable by the science and technology of measurement  These standards are not available to ordinary uses like measurement and calibrations.
  • 15. ii. Primary Standards  Main function is the calibration and verification of secondary standards  These are maintained at the National Standards Laboratories in different countries. For India, it is National Physical Laboratory at New Delhi.  The primary standards are not available for the use outside the National Laboratory.  These primary standards are absolute standards of high accuracy that can be used as ultimate reference standards to check, calibrate and certify the secondary standards.
  • 16. iii. Secondary Standards  Basic reference standards used by the measurement and calibration laboratories in industries  These standards are maintained by the particular industry to which they belong  Each industry has its own secondary standard  Each laboratory periodically sends its secondary standard to the national standards laboratory for calibration and comparison against the primary standard  After comparison and calibration, the National Standards Laboratory returns the secondary standards to the particular industrial laboratory with a certification of measuring accuracy in terms of primary standards
  • 17. iv. Working Standards  main tools of a measuring laboratory  used to check and calibrate laboratory instrument for accuracy and performance.  For example, manufacturing of mechanical components such as shafts, bearings, gears etc, use a standard called working standard for checking the component dimensions. Example: Plug gauge is used for checking the bore diameter of bearings.
  • 18. UNITS • Physical quantity is expressed in Units. • Types: 1. Primary Units – m, Kg, KJ 2. Supplementary Units - rad 3. Derived Units – Kg/KJ 06-Jul-18 18
  • 19. 1. Direct Comparison 2. Indirect Comparison 3. Comparative Method 4. Coincidence Method 5. Fundamental Method 6. Contact Method 7. Transposition Method 8. Complementary Method 9. Deflection Method 10. Contactless method TYPES OF MEASUREMENTS / METHODS OF MEASUREMENTS 06-Jul-18 19
  • 20. 1. Direct Method  Measurements are directly obtained. Ex.: Vernier Caliper, Scales. 2. Indirect Method  Obtained by measuring other quantities. Ex: Measurement of strain induced in a bar due to the applied force 06-Jul-18 20
  • 21. 3. Comparative Method It’s compared with other value. known Ex: Comparators. 4. Coincidence Method: Measurements coincide with certain lines and signals. Ex: Comparators. 5. Fundamental Method: Measuring a quantity directly in related with the definition of that quantity. 06-Jul-18 21
  • 22. 6. Transposition Method: Quantity to be measured is first balanced by a known value and then balanced by an other new known value. Ex: Determination of mass by balancing methods. 7. Complementary Method: The value of quantity to be measured is combined with known value of the same quantity. Ex: Determination of the volume of a solid by liquid displacement Volume. 06-Jul-18 22
  • 23. 8. Deflection Method: 10. Contactless method: There is no direct contact with the surface to be measured. E0x6-.Juml-18easurement by optical instruments The value to be measured is directly indicated by a deflection of pointer. Ex: Pressure Measurement. 9. Contact Method: Sensor/Measuring tip touch the surface area. Ex: Vernier Caliper. 23
  • 24. 1. Deflection and Null type instruments 2. Analog and Digital instruments 3. Active and passive type instruments 4. Automatic and manually operated instruments 5. Absolute and secondary instruments 6. Contacting and non-contacting instruments 7. Intelligent instruments TYPES OF MEASURING INSTRUMENTS
  • 25.  The weight indicated by of the object is the deflection or of a a scale. pointer on Ex. Spring movement graduated Balance 1. Deflection and Null type instruments  The effect caused by the quantity to be measured is nullified.  For example, consider the measurement of weight by an ordinary beam balance as shown in fig. The unknown weight placed in one-side causes the beam and the pointer to deflect. Ex. Beam Balance
  • 26. 2. Analog and Digital Instruments
  • 27.  In active instruments, the quantity being measured just activates the magnitude of some, external power input source, which in turn produces the measurement.  In this type of instruments, another external energy input source is present apart from the quantity to be measured. 3. Active and Passive Type Instruments  In passive type instruments, output is produced entirely by the quantity being measured.
  • 28. 4. Manual and Automatic Instruments  Manual instruments require the services of a human operator.  When the process of null balance is automated, it is known termed as automatic instruments.
  • 29. 5. Absolute and Secondary Instruments instruments  Absolute give the value of the are those which quantity to be measured, in terms of the constants of the instrument and their deflection only.  Secondary Instrument shows deflection directly in terms of electrical quantity like voltage, current, power and frequency.  These instruments are calibrated by comparison with an absolute instrument.
  • 30. 6. Contacting and Non-Contacting Instruments
  • 31. 7. Intelligent Instrument  Microprocessor are incorporated with measuring instrument
  • 32. ACCURACY Vs PRECISION Measurement is an act of assigning an accurate and precise value to a physical variable. What is the difference between Precision andAccuracy Accuracy is a measure of rightness. Precision is a measure of exactness.
  • 33. Accuracy is the ability of the instrument to measure the accurate value (Conformity). Precision refers to how closely individual measurements agree with each other (Repeatability). ACCURACY AND PRECISION
  • 34. FACTORS AFFECTING ACCURACY AND PRECISION OF A MEASURING SYSTEM • A measuring system is made of five basic elements. These are: 1. Standard 2. Work piece 3. Instrument 4. Person 5. Environment. 06-Jul-18 34
  • 35. FACTORS AFFECTING ACCURACY OF A MEASURING SYSTEM 1. Standard □ Coefficient of thermal expansion □ Stability with time □ Elastic properties □ Position etc 2. Work piece: □ Cleanliness surface finish etc. □ Surface defects □ Hidden geometry 3. Instrument □ Inadequate amplification □ Scale error □ Deformation while handling heavy w/p □ Calibration error 06-R Jul- e 18 peatability & readability 35
  • 36. 4. Person □ Training skill □ Sense of precision appreciation □ Ability to select measuring instrument & standard □ Attitude towards personal accuracy achievement □ Planning for measurement technique to have minimum just with consistent in precision. 5. Environment □ Temperature, pressure and humidity □ Clean surrounding and minimum vibration □ Adequate illumination □ Temperature equalization between standard w/p & instrument Higher accuracy can be achieved if all 5 factors are considered, analysed & steps are taken to eliminate them 06-Jul-18 36 FACTORS AFFECTING ACCURACY OF A MEASURING SYSTEM
  • 37. What is Error in Measurement? • Measurement Error (Observational Error) is the difference between a measured(actual) value and its true value. • True size  Theoretical size of a dimension which is free from errors. • Actual size  size obtained through measurement with permissible error. 06-Jul-18 37 ERRORS IN MEASUREMENT
  • 38. Types of Errors in Measurements Gross / Blunder Errors Measurement Errors Systematic Errors Instrumental Errors Observational Errors Environmental Errors Theoretical Errors Random Errors TYPES OF ERRORS IN MEASUREMENT
  • 39. 1) Gross or Blunder Errors: This category of errors includes all the human mistakes while reading, recording the readings. The best example of these errors is a person or operator reading pressure gauge 1.01N/m2 as 1.10N/m2. 2) Measurement Error:  The measurement error is the measurement of the true value. result of the variation of a  Usually, Measurement error consists of a random error and systematic error. 06-Jul-18 39 TYPES OF ERRORS IN MEASUREMENT
  • 40. a. Systematic Error (Controllable Error) • A systematic error is a constant error that under the same operating conditions. • Systematic error is caused by any factors that systematically affect measurement . • Classification of systematic errors: i. Instrumental Errors – Calibration Error ii. Environmental Errors – Temp, Pressure, Humidity iii. Observational Errors - Parallax iv. Theoretical - Percentage 06-Jul-18 40 TYPES OF ERRORS IN MEASUREMENT
  • 41. Random Errors (Uncontrollable Error) • Random (or indeterminate) errors are caused by uncontrollable fluctuations in variables that affect experimental results. • Random errors are caused by the sudden change in experimental conditions and noise and tiredness in the working persons. These errors are either positive or negative. • These errors may be reduced by taking the average of a large number of readings. TYPES OF ERRORS IN MEASUREMENT