Unit 1
Concept of Measurement
Definition
• Metrology is the name given to the science of
pure measurement.
• Engineering Metrology is restricted to
measurements of length & angle
• Measurement is defined as the process of
numerical evaluation of a dimension or the
process of comparison with standard
measuring instruments
Why measure things?
• Check quality?
• Check tolerances?
Need of Measurement
• Establish standard
• Interchangeability
• Customer Satisfaction
• Validate the design
• Physical parameter into meaningful number
• True dimension
• Evaluate the Performance
Methods of Measurement
• Direct method
• Indirect method
• Comparative method
• Coincidence method
• Contact method
• Deflection method
• Complementary method
Direct method
• Measurements are directly obtained
– Ex: Vernier Caliper, Scales
Indirect method
• Obtained by measuring other quantities
– Ex : Weight = Length x Breadth x Height x Density
Comparative Method
• It’s compared with other known value
– Ex: Comparators
Coincidence method
• Measurements coincide with certain lines and
signals
Fundamental method
• Measuring a quantity directly in related with
the definition of that quantity
Contact method
• Sensor/Measuring tip touch the surface area
Complementary method
• The value of quantity to be measured is
combined with known value of the same
quantity
– Ex:Volume determination by liquid displacement
Deflection method
• The value to be measured is directly indicated
by a deflection of pointer
– Ex: Pressure Measurement
Units and standards
SI: fundamental Units
Physical Quantity Unit 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
SI: Derived Units
Physical Quantity Unit Name Symbol
area square meter m2
volume cubic meter m3
speed
meter per
second
m/s
acceleration
meter per
second squared
m/s2
weight, force newton N
pressure pascal Pa
energy, work joule J
Supplementary units
Physical Quantity Unit Name Symbol
Plane angle Radian rad
Solid angle Steradian sr
Standards
• International standards
• Primary standards
• Secondary standards
• Working standards
International
International Organization of Legal Metrology, Paris
International Bureau of Weights and Measures at
Sevres, France
India
National Physical Laboratory
Dr. K.S. Krishnan Marg
New Delhi - 110012
India
Phone: 91-11-45609212
Fax: 91-11-45609310
Email: root@nplindia.org or root@nplindia.ernet.in
Measuring Instruments
• Deflection and null type instruments
• Analog and digital instruments
• Active and passive instruments
• Automatic and manually operated
instruments
• Contacting and non contacting instruments
• Absolute and secondary instruments
• Intelligent instruments.
DEFLECTION AND NULL TYPE
• Physical effect generated by the measuring
quantity
• Equivalent opposing effect to nullify the physical
effect caused by the quantity
ANALOG AND DIGITAL
INSTRUMENTS
• Physical variables of interest in the form of
continuous or stepless variations
• Physical variables are represented by digital
quantities
ACTIVE AND PASSIVE INSTRUMENTS
• Instruments are those that require some source
of auxiliary power
• The energy requirements of the instruments are
met entirely from the input signal
Automatic and manually operated
• Manually operated – requires the service of
human operator
• Automated – doesn't requires human
operator
Contacting And Non Contacting Instruments
• A contacting with measuring medium
• Measure the desired input even though they
are not in close contact with the measuring
medium
Absolute and Secondary Instruments
• These instruments give the value of the electrical
quantity in terms of absolute quantities
• Deflection of the instruments can read directly
Intelligent instruments
• Microprocessors are incorporated with
measuring instruments
Characteristics of Measuring Instrument
• Sensitivity
• Readability
• Range of accuracy
• Precision
Definition
• Sensitivity- Sensitivity is defined as the ratio of
the magnitude of response (output signal) to the
magnitude of the quantity being measured
(input signal)
• Readability- Readability is defined as the
closeness with which the scale of the analog
instrument can be read
Definition
• Range of accuracy- Accuracy of a measuring
system is defined as the closeness of the
instrument output to the true value of the
measured quantity
• Precision- Precision is defined as the ability of the
instrument to reproduce a certain set of readings
within a given accuracy
Sensitivity
• If the calibration curve is liner, as shown, the sensitivity
of the instrument is the slope of the calibration curve.
• If the calibration curve is not linear as shown, then the
sensitivity varies with the input.
Sensitivity
This is the relationship between a change in the
output reading for a given change of the input.
(This relationship may be linear or non-linear.)
Sensitivity is often known as scale factor or
instrument magnification and an instrument with a
large sensitivity (scale factor) will indicate a large
movement of the indicator for a small input
change.
Load Cell
Force, F
Output, Vo
Output, Vo (V)
Input, Fi (kN)
Slope = 5 V/kN
K
Input, F (kN) Output, Vo (V)
Sensitivity, K = 5 V/kN
Block Diagram:
Example
(1) A 0.01 Ω/A meter with 5 A fsd,
Rm = Ω/A x A
= 0.01 x 5 = 0.05 Ω
Vmax across the Meter will be
= 5 A x 0.05 Ω
= 0.25 V for fsd.
(2) A 0.1 Ω/A meter with 5 A fsd,will drop 2.5 V
(i.e., it is 10 times less sensitive), which may bias
the results
Readability
• Readability is defined as the ease with which
readings may be taken with an instrument.
• Readability difficulties may often occur due to
parallax errors when an observer is noting the
position of a pointer on a calibrated scale
Readability
What is the value ?
What is the value ?
What is the value ?
Accuracy
• Accuracy = the extent to which a measured
value agrees with a true value
• The difference between the measured value &
the true value is known as ‘Error of
measurement’
• Accuracy is the quality of conformity
Example: Accuracy
• Who is more accurate when measuring a book that
has a true length of 17.0 cm?
A :
17.0 cm, 16.0 cm, 18.0 cm, 15.0 cm
B ::
15.5 cm, 15.0 cm, 15.2 cm, 15.3 cm
Precision
• The precision of a measurement depends on the
instrument used to measure it.
• For example, how long is this block?
How big is the beetle?
Measure between the head
and the tail!
Between 1.5 and 1.6 in
Measured length: 1.54 in
The 1 and 5 are known with
certainty
The last digit (4) is estimated
between the two nearest fine
division marks.
Example: Precision
Who is more precise when measuring the same 17.0
cm book?
A:
17.0 cm, 16.0 cm, 18.0 cm, 15.0 cm
B ::
15.5 cm, 15.0 cm, 15.2 cm, 15.3 cm
Accuracy vs. Precision
High Accuracy
High Precision
High Precision
Low Accuracy
Three targets
with three
arrows each to
shoot.
The person hit the bull's-eye?
Both
accurate
and precise
Precise but
not
accurate
Neither
accurate
nor precise
How do they
compare?
Can you define accuracy vs. precision?Can you define accuracy vs. precision?
Uncertainty
• The word uncertainty casts a doubt about the
exactness of the measurement results
• True value = Estimated value + Uncertainty
Why Is There Uncertainty?
• Measurements are performed with instruments,
and no instrument can read to an infinite number of
decimal places
•Which of the instruments below has the greatest
uncertainty in measurement?
Reading a Meterstick
. l2
. . . . I . . . . I3
. . . .I . . . . I4
. . cm
First digit (known) = 2 2.?? cm
Second digit (known) = 0.7 2.7? cm
Third digit (estimated) between 0.05- 0.08 cm
Length reported = 2.77 cm
or 2.76 cm
or 2.78 cm
Known + Estimated Digits
In 2.77 cm…
• Known digitsKnown digits 22 andand 77 are 100% certainare 100% certain
• The third digitThe third digit 77 is estimated (uncertain)is estimated (uncertain)
• In the reported length, allIn the reported length, all threethree digitsdigits
(2.77 cm) are significant including the(2.77 cm) are significant including the
estimated oneestimated one
Performance of Instruments
• All instrumentation systems are characterized
by the system characteristics or system
response
• There are two basic characteristics of
Measuring instruments, they are
– Static character
– Dynamic character
Static Characteristics
• The instruments, which are used to measure
the quantities which are slowly varying with
time or mostly constant, i.e., do not vary with
time, is called ‘static characteristics’.
STATIC CHARACTERISTICS OF AN INSTRUMENTS
• Accuracy
• Precision
• Sensitivity
• Resolution
• Threshold
• Drift
• Error
• Repeatability
• Reproducibility
• Dead zone
• Backlash
• True value
• Hysteresis
• Linearity
• Range or Span
• Bias
• Tolerance
• Stability
Resolution
This is defined as the smallest input increment
change that gives some small but definite
numerical change in the output.
Threshold
This minimum value of input below which no
output can be appeared is known as threshold
of the instrument.
input
Output
Drift
Drift or Zero drift is variation in the output of
an instrument which is not caused by any
change in the input; it is commonly caused by
internal temperature changes and component
instability.
Sensitivity drift defines the amount by which
instrument’s sensitivity varies as ambient
conditions change.
input
Output
zero
drift
input
Output
sensitivity drift
input
Output
sensitivity drift
zero
drift
• Error – The deviation of the true value from
the desired value is called Error
• Repeatability – It is the closeness value of
same output for same input under same
operating condition
• Reproducibility - It is the closeness value of
same output for same input under same
operating condition over a period of time
Range
• The ‘Range’ is the total range of values which
an instrument is capable of measuring.
Hysteresis
This is the algebraic difference between the average
errors at corresponding points of measurement
when approached from opposite directions, i.e.
increasing as opposed to decreasing values of the
input.
Actual/ Input
Value
Measured
Value
Ideal
Hysteresis is
caused by
energy
storage/
dissipation in
the system.
Zero stability
The ability of the instrument to return to
zero reading after the measured has returned to
zero
Dead band
This is the range of different input values over
which there is no change in output value.
Linearity- The ability to reproduce the input
characteristics symmetrically and linearly
• Backlash – Lost motion or free play of
mechanical elements are known as backlash
• True value – The errorless value of measured
variable is known as true value
• Bias – The Constant Error
• Tolerance- Maximum Allowable error in
Measurement
Dynamic Characteristics
• The set of criteria defined for the
instruments, which are changes rapidly with
time, is called ‘dynamic characteristics’.
Dynamic Characteristics
• Steady state periodic
• Transient
• Speed of response
• Measuring lag
• Fidelity
• Dynamic error
• Steady state periodic – Magnitude has a
definite repeating time cycle
• Transient – Magnitude whose output does not
have definite repeating time cycle
• Speed of response- System responds to
changes in the measured quantity
• Measuring lag
– Retardation type :Begins immediately after the
change in measured quantity
– Time delay lag : Begins after a dead time after the
application of the input
• Fidelity- The degree to which a measurement
system indicates changes in the measured
quantity without error
• Dynamic error- Difference between the true
value of the quantity changing with time & the
value indicated by the measurement system
Errors in Instruments
• Error = True value – Measured value
or
• Error = Measured value - True value
Types of Errors
• Error of Measurement
• Instrumental error
• Error of observation
• Based on nature of errors
• Based on control
Error of Measurement
• Systematic error -Predictable way in
accordance due to conditions change
• Random error - Unpredictable manner
• Parasitic error - Incorrect execution of
measurement
Instrumental error
• Error of a physical measure
• Error of a measuring mechanism
• Error of indication of a measuring instrument
• Error due to temperature
• Error due to friction
• Error due to inertia
Error of observation
• Reading error
• Parallax error
• Interpolation error
Nature of Errors
• Systematic error
• Random error
Based on control
• Controllable errors
– Calibration errors
– Environmental (Ambient /Atmospheric Condition)
Errors
– Stylus pressure errors
– Avoidable errors
• Non - Controllable errors
Correction
• Correction is defined as a value which is added
algebraically to the uncorrected result of the
measurement to compensate to an assumed
systematic error.
• Ex : Vernier Caliper, Micrometer
Calibration
• Calibration is the process of determining and
adjusting an instruments accuracy to make
sure its accuracy is with in manufacturing
specifications.
Interchangeability
• A part which can be substituted for the
component manufactured to the small shape
and dimensions is known a interchangeable
part.
• The operation of substituting the part for
similar manufactured components of the
shape and dimensions is known as
interchangeability.
Compiled by
V. S. KumawatV. S. Kumawat
Assistant Professor
Department of Mechanical Engineering
Amity University, Rajasthan

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Final ppt

  • 1. Unit 1 Concept of Measurement
  • 2. Definition • Metrology is the name given to the science of pure measurement. • Engineering Metrology is restricted to measurements of length & angle • Measurement is defined as the process of numerical evaluation of a dimension or the process of comparison with standard measuring instruments
  • 3. Why measure things? • Check quality? • Check tolerances?
  • 4. Need of Measurement • Establish standard • Interchangeability • Customer Satisfaction • Validate the design • Physical parameter into meaningful number • True dimension • Evaluate the Performance
  • 5. Methods of Measurement • Direct method • Indirect method • Comparative method • Coincidence method • Contact method • Deflection method • Complementary method
  • 6. Direct method • Measurements are directly obtained – Ex: Vernier Caliper, Scales
  • 7. Indirect method • Obtained by measuring other quantities – Ex : Weight = Length x Breadth x Height x Density
  • 8. Comparative Method • It’s compared with other known value – Ex: Comparators
  • 9. Coincidence method • Measurements coincide with certain lines and signals Fundamental method • Measuring a quantity directly in related with the definition of that quantity Contact method • Sensor/Measuring tip touch the surface area
  • 10. Complementary method • The value of quantity to be measured is combined with known value of the same quantity – Ex:Volume determination by liquid displacement
  • 11. Deflection method • The value to be measured is directly indicated by a deflection of pointer – Ex: Pressure Measurement
  • 13. SI: fundamental Units Physical Quantity Unit 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
  • 14. SI: Derived Units Physical Quantity Unit Name Symbol area square meter m2 volume cubic meter m3 speed meter per second m/s acceleration meter per second squared m/s2 weight, force newton N pressure pascal Pa energy, work joule J
  • 15. Supplementary units Physical Quantity Unit Name Symbol Plane angle Radian rad Solid angle Steradian sr
  • 16. Standards • International standards • Primary standards • Secondary standards • Working standards
  • 17. International International Organization of Legal Metrology, Paris International Bureau of Weights and Measures at Sevres, France India National Physical Laboratory Dr. K.S. Krishnan Marg New Delhi - 110012 India Phone: 91-11-45609212 Fax: 91-11-45609310 Email: [email protected] or [email protected]
  • 18. Measuring Instruments • Deflection and null type instruments • Analog and digital instruments • Active and passive instruments • Automatic and manually operated instruments • Contacting and non contacting instruments • Absolute and secondary instruments • Intelligent instruments.
  • 19. DEFLECTION AND NULL TYPE • Physical effect generated by the measuring quantity • Equivalent opposing effect to nullify the physical effect caused by the quantity
  • 20. ANALOG AND DIGITAL INSTRUMENTS • Physical variables of interest in the form of continuous or stepless variations • Physical variables are represented by digital quantities
  • 21. ACTIVE AND PASSIVE INSTRUMENTS • Instruments are those that require some source of auxiliary power • The energy requirements of the instruments are met entirely from the input signal
  • 22. Automatic and manually operated • Manually operated – requires the service of human operator • Automated – doesn't requires human operator
  • 23. Contacting And Non Contacting Instruments • A contacting with measuring medium • Measure the desired input even though they are not in close contact with the measuring medium
  • 24. Absolute and Secondary Instruments • These instruments give the value of the electrical quantity in terms of absolute quantities • Deflection of the instruments can read directly
  • 25. Intelligent instruments • Microprocessors are incorporated with measuring instruments
  • 26. Characteristics of Measuring Instrument • Sensitivity • Readability • Range of accuracy • Precision
  • 27. Definition • Sensitivity- Sensitivity is defined as the ratio of the magnitude of response (output signal) to the magnitude of the quantity being measured (input signal) • Readability- Readability is defined as the closeness with which the scale of the analog instrument can be read
  • 28. Definition • Range of accuracy- Accuracy of a measuring system is defined as the closeness of the instrument output to the true value of the measured quantity • Precision- Precision is defined as the ability of the instrument to reproduce a certain set of readings within a given accuracy
  • 29. Sensitivity • If the calibration curve is liner, as shown, the sensitivity of the instrument is the slope of the calibration curve. • If the calibration curve is not linear as shown, then the sensitivity varies with the input.
  • 30. Sensitivity This is the relationship between a change in the output reading for a given change of the input. (This relationship may be linear or non-linear.) Sensitivity is often known as scale factor or instrument magnification and an instrument with a large sensitivity (scale factor) will indicate a large movement of the indicator for a small input change.
  • 31. Load Cell Force, F Output, Vo Output, Vo (V) Input, Fi (kN) Slope = 5 V/kN K Input, F (kN) Output, Vo (V) Sensitivity, K = 5 V/kN Block Diagram:
  • 32. Example (1) A 0.01 Ω/A meter with 5 A fsd, Rm = Ω/A x A = 0.01 x 5 = 0.05 Ω Vmax across the Meter will be = 5 A x 0.05 Ω = 0.25 V for fsd. (2) A 0.1 Ω/A meter with 5 A fsd,will drop 2.5 V (i.e., it is 10 times less sensitive), which may bias the results
  • 33. Readability • Readability is defined as the ease with which readings may be taken with an instrument. • Readability difficulties may often occur due to parallax errors when an observer is noting the position of a pointer on a calibrated scale
  • 34. Readability What is the value ? What is the value ? What is the value ?
  • 35. Accuracy • Accuracy = the extent to which a measured value agrees with a true value • The difference between the measured value & the true value is known as ‘Error of measurement’ • Accuracy is the quality of conformity
  • 36. Example: Accuracy • Who is more accurate when measuring a book that has a true length of 17.0 cm? A : 17.0 cm, 16.0 cm, 18.0 cm, 15.0 cm B :: 15.5 cm, 15.0 cm, 15.2 cm, 15.3 cm
  • 37. Precision • The precision of a measurement depends on the instrument used to measure it. • For example, how long is this block?
  • 38. How big is the beetle? Measure between the head and the tail! Between 1.5 and 1.6 in Measured length: 1.54 in The 1 and 5 are known with certainty The last digit (4) is estimated between the two nearest fine division marks.
  • 39. Example: Precision Who is more precise when measuring the same 17.0 cm book? A: 17.0 cm, 16.0 cm, 18.0 cm, 15.0 cm B :: 15.5 cm, 15.0 cm, 15.2 cm, 15.3 cm
  • 40. Accuracy vs. Precision High Accuracy High Precision High Precision Low Accuracy
  • 41. Three targets with three arrows each to shoot. The person hit the bull's-eye? Both accurate and precise Precise but not accurate Neither accurate nor precise How do they compare? Can you define accuracy vs. precision?Can you define accuracy vs. precision?
  • 42. Uncertainty • The word uncertainty casts a doubt about the exactness of the measurement results • True value = Estimated value + Uncertainty
  • 43. Why Is There Uncertainty? • Measurements are performed with instruments, and no instrument can read to an infinite number of decimal places •Which of the instruments below has the greatest uncertainty in measurement?
  • 44. Reading a Meterstick . l2 . . . . I . . . . I3 . . . .I . . . . I4 . . cm First digit (known) = 2 2.?? cm Second digit (known) = 0.7 2.7? cm Third digit (estimated) between 0.05- 0.08 cm Length reported = 2.77 cm or 2.76 cm or 2.78 cm
  • 45. Known + Estimated Digits In 2.77 cm… • Known digitsKnown digits 22 andand 77 are 100% certainare 100% certain • The third digitThe third digit 77 is estimated (uncertain)is estimated (uncertain) • In the reported length, allIn the reported length, all threethree digitsdigits (2.77 cm) are significant including the(2.77 cm) are significant including the estimated oneestimated one
  • 46. Performance of Instruments • All instrumentation systems are characterized by the system characteristics or system response • There are two basic characteristics of Measuring instruments, they are – Static character – Dynamic character
  • 47. Static Characteristics • The instruments, which are used to measure the quantities which are slowly varying with time or mostly constant, i.e., do not vary with time, is called ‘static characteristics’.
  • 48. STATIC CHARACTERISTICS OF AN INSTRUMENTS • Accuracy • Precision • Sensitivity • Resolution • Threshold • Drift • Error • Repeatability • Reproducibility • Dead zone • Backlash • True value • Hysteresis • Linearity • Range or Span • Bias • Tolerance • Stability
  • 49. Resolution This is defined as the smallest input increment change that gives some small but definite numerical change in the output.
  • 50. Threshold This minimum value of input below which no output can be appeared is known as threshold of the instrument. input Output
  • 51. Drift Drift or Zero drift is variation in the output of an instrument which is not caused by any change in the input; it is commonly caused by internal temperature changes and component instability. Sensitivity drift defines the amount by which instrument’s sensitivity varies as ambient conditions change.
  • 53. • Error – The deviation of the true value from the desired value is called Error • Repeatability – It is the closeness value of same output for same input under same operating condition • Reproducibility - It is the closeness value of same output for same input under same operating condition over a period of time
  • 54. Range • The ‘Range’ is the total range of values which an instrument is capable of measuring.
  • 55. Hysteresis This is the algebraic difference between the average errors at corresponding points of measurement when approached from opposite directions, i.e. increasing as opposed to decreasing values of the input. Actual/ Input Value Measured Value Ideal Hysteresis is caused by energy storage/ dissipation in the system.
  • 56. Zero stability The ability of the instrument to return to zero reading after the measured has returned to zero
  • 57. Dead band This is the range of different input values over which there is no change in output value.
  • 58. Linearity- The ability to reproduce the input characteristics symmetrically and linearly
  • 59. • Backlash – Lost motion or free play of mechanical elements are known as backlash • True value – The errorless value of measured variable is known as true value • Bias – The Constant Error • Tolerance- Maximum Allowable error in Measurement
  • 60. Dynamic Characteristics • The set of criteria defined for the instruments, which are changes rapidly with time, is called ‘dynamic characteristics’.
  • 61. Dynamic Characteristics • Steady state periodic • Transient • Speed of response • Measuring lag • Fidelity • Dynamic error
  • 62. • Steady state periodic – Magnitude has a definite repeating time cycle • Transient – Magnitude whose output does not have definite repeating time cycle • Speed of response- System responds to changes in the measured quantity
  • 63. • Measuring lag – Retardation type :Begins immediately after the change in measured quantity – Time delay lag : Begins after a dead time after the application of the input • Fidelity- The degree to which a measurement system indicates changes in the measured quantity without error • Dynamic error- Difference between the true value of the quantity changing with time & the value indicated by the measurement system
  • 64. Errors in Instruments • Error = True value – Measured value or • Error = Measured value - True value
  • 65. Types of Errors • Error of Measurement • Instrumental error • Error of observation • Based on nature of errors • Based on control
  • 66. Error of Measurement • Systematic error -Predictable way in accordance due to conditions change • Random error - Unpredictable manner • Parasitic error - Incorrect execution of measurement
  • 67. Instrumental error • Error of a physical measure • Error of a measuring mechanism • Error of indication of a measuring instrument • Error due to temperature • Error due to friction • Error due to inertia
  • 68. Error of observation • Reading error • Parallax error • Interpolation error
  • 69. Nature of Errors • Systematic error • Random error
  • 70. Based on control • Controllable errors – Calibration errors – Environmental (Ambient /Atmospheric Condition) Errors – Stylus pressure errors – Avoidable errors • Non - Controllable errors
  • 71. Correction • Correction is defined as a value which is added algebraically to the uncorrected result of the measurement to compensate to an assumed systematic error. • Ex : Vernier Caliper, Micrometer
  • 72. Calibration • Calibration is the process of determining and adjusting an instruments accuracy to make sure its accuracy is with in manufacturing specifications.
  • 73. Interchangeability • A part which can be substituted for the component manufactured to the small shape and dimensions is known a interchangeable part. • The operation of substituting the part for similar manufactured components of the shape and dimensions is known as interchangeability.
  • 74. Compiled by V. S. KumawatV. S. Kumawat Assistant Professor Department of Mechanical Engineering Amity University, Rajasthan

Editor's Notes

  • #25: A galvanometer is a type of ammeter: an instrument for detecting and measuring electric current. It is an analog electromechanical transducer that produces a rotary deflection of some type of pointer in response to electric current flowing through its coil in a magnetic field.