This document provides information about the Vernier caliper, including its history, parts, construction, use, and measurements. It describes that the Vernier caliper was invented in 1631 to provide extra precision in measurements. It has fixed and movable jaws that can measure external, internal, and depth dimensions. The document explains how to use a Vernier caliper by finding the least count, aligning the scales to get the main and Vernier readings, and using the measurement formula to calculate dimensions within 0.1 mm precision.
CONTENT
-HISTORY OF VERNIER CALLIPER
-TYPES OF VERNIER CALLIPER
-ANALOG VERNIER CALLIPER
-DIAL VERNIER CALLIPER
-DIGITAL VERNIER CALLIPER
-CONSTRUCTION OF VERNIER CALLIPER
-LEAST COUNT OF VERNIER CALLIPER
-USE OF VERNIER CALLIPER
-HOW TO MEASURE
-HANDLING OF VERNIER CALLIPER
-ERROR IN VERNIER CALLIPER
-STORAGE OF VERNIER CALLIPER
-MANUFACTURER OF VERNIER CALLIPER
A Vernier caliper is a tool used to take precise linear measurements. It has a main scale and sliding Vernier scale that allows measurements within 0.05 mm. The document describes the parts of a Vernier caliper including the jaws, probe, scales, and screw clamp. It provides the formula to calculate measurements from the main and Vernier scale readings taking into account the least count of 0.05 mm. The procedure for using a Vernier caliper to measure specimens is outlined, including checking for zero error, taking readings from the scales, and calculating the final measurement. Sources of error in using the Vernier caliper are also discussed.
This document describes how to use a Vernier caliper to take precise measurements and calculate percentage error. It explains the parts of a Vernier caliper including internal and external jaws, depth rod, and main and Vernier scales. It provides the formula for calculating least count and how to determine measurements based on main scale reading, Vernier scale reading, and least count. The document also discusses types of errors in Vernier calipers and the procedure for taking accurate measurements and calculating percentage error.
The document discusses how to use a Vernier caliper to accurately measure diameter, thickness, depth, and other linear measurements. It explains that a Vernier caliper has inside jaws, outside jaws, a Vernier scale, main scale, and depth gauge. It provides instructions for measuring internal diameter, external diameter, and depth using different parts of the caliper. It also describes how to obtain an accurate reading by matching lines on the Vernier and main scales.
The Vernier caliper is a precision instrument used to measure internal and external distances. It consists of two jaws - a fixed jaw with a main scale and a movable jaw with a Vernier scale. The Vernier scale has 10 divisions over 0.9 mm, allowing measurements to be read to 0.1 mm. To take a reading, the object is placed between the jaws and the main and Vernier scales are aligned. The Vernier division that lines up gives the measurement, which is calculated using the least count and added to the main scale reading along with any zero correction. The Vernier caliper provides accurate measurements but requires good eyesight and an understanding of how to use it.
This document discusses the vernier caliper, a tool used to measure internal, external, and depth dimensions. It describes the main parts of the vernier caliper including the main scale, vernier scale, inside and outside jaws, screw clamp, and depth probe. The document explains how to properly read measurements from the vernier scale by identifying where the zero points of the main and vernier scales align. Examples are given of measuring lengths accurately to within 1/10, 1/20 and 1/50 of a millimeter. Slides provide exercises for students to practice using the vernier caliper to take measurements.
Here are the steps to solve this problem:
1. Least count: 0.05 mm (each line on the vernier scale represents 0.05 mm)
2. Fixed scale reading: 75 mm
3. Vernier scale reading: 0.30 mm (the line that best aligns with a line on the fixed scale)
4. Total reading: 75.30 mm
Some fire safety precautions for workshops include:
- Store flammable liquids in approved and labeled containers away from heat sources
- Ensure fire extinguishers are readily accessible and properly maintained
- Keep work areas clear of debris that could fuel a fire
- Use spark guards when grinding or welding near fl
This document provides information about the Vernier caliper, including its history, parts, construction, use, and measurements. It describes that the Vernier caliper was invented in 1631 to provide extra precision in measurements. It has fixed and movable jaws that can measure external, internal, and depth dimensions. The document explains how to use a Vernier caliper by finding the least count, aligning the scales to get the main and Vernier readings, and using the measurement formula to calculate dimensions within 0.1 mm precision.
CONTENT
-HISTORY OF VERNIER CALLIPER
-TYPES OF VERNIER CALLIPER
-ANALOG VERNIER CALLIPER
-DIAL VERNIER CALLIPER
-DIGITAL VERNIER CALLIPER
-CONSTRUCTION OF VERNIER CALLIPER
-LEAST COUNT OF VERNIER CALLIPER
-USE OF VERNIER CALLIPER
-HOW TO MEASURE
-HANDLING OF VERNIER CALLIPER
-ERROR IN VERNIER CALLIPER
-STORAGE OF VERNIER CALLIPER
-MANUFACTURER OF VERNIER CALLIPER
A Vernier caliper is a tool used to take precise linear measurements. It has a main scale and sliding Vernier scale that allows measurements within 0.05 mm. The document describes the parts of a Vernier caliper including the jaws, probe, scales, and screw clamp. It provides the formula to calculate measurements from the main and Vernier scale readings taking into account the least count of 0.05 mm. The procedure for using a Vernier caliper to measure specimens is outlined, including checking for zero error, taking readings from the scales, and calculating the final measurement. Sources of error in using the Vernier caliper are also discussed.
This document describes how to use a Vernier caliper to take precise measurements and calculate percentage error. It explains the parts of a Vernier caliper including internal and external jaws, depth rod, and main and Vernier scales. It provides the formula for calculating least count and how to determine measurements based on main scale reading, Vernier scale reading, and least count. The document also discusses types of errors in Vernier calipers and the procedure for taking accurate measurements and calculating percentage error.
The document discusses how to use a Vernier caliper to accurately measure diameter, thickness, depth, and other linear measurements. It explains that a Vernier caliper has inside jaws, outside jaws, a Vernier scale, main scale, and depth gauge. It provides instructions for measuring internal diameter, external diameter, and depth using different parts of the caliper. It also describes how to obtain an accurate reading by matching lines on the Vernier and main scales.
The Vernier caliper is a precision instrument used to measure internal and external distances. It consists of two jaws - a fixed jaw with a main scale and a movable jaw with a Vernier scale. The Vernier scale has 10 divisions over 0.9 mm, allowing measurements to be read to 0.1 mm. To take a reading, the object is placed between the jaws and the main and Vernier scales are aligned. The Vernier division that lines up gives the measurement, which is calculated using the least count and added to the main scale reading along with any zero correction. The Vernier caliper provides accurate measurements but requires good eyesight and an understanding of how to use it.
This document discusses the vernier caliper, a tool used to measure internal, external, and depth dimensions. It describes the main parts of the vernier caliper including the main scale, vernier scale, inside and outside jaws, screw clamp, and depth probe. The document explains how to properly read measurements from the vernier scale by identifying where the zero points of the main and vernier scales align. Examples are given of measuring lengths accurately to within 1/10, 1/20 and 1/50 of a millimeter. Slides provide exercises for students to practice using the vernier caliper to take measurements.
Here are the steps to solve this problem:
1. Least count: 0.05 mm (each line on the vernier scale represents 0.05 mm)
2. Fixed scale reading: 75 mm
3. Vernier scale reading: 0.30 mm (the line that best aligns with a line on the fixed scale)
4. Total reading: 75.30 mm
Some fire safety precautions for workshops include:
- Store flammable liquids in approved and labeled containers away from heat sources
- Ensure fire extinguishers are readily accessible and properly maintained
- Keep work areas clear of debris that could fuel a fire
- Use spark guards when grinding or welding near fl
1) The document describes how to use a micrometer screw gauge to measure the diameter of a wire and thickness of a glass plate.
2) A micrometer screw gauge has a frame that holds an anvil and barrel. Turning the thimble moves a screw to take precise measurements.
3) To measure the diameter of a wire, it is inserted between the screw and anvil. Readings from the main and circular scales are used to calculate the diameter to within 0.01 mm.
This document discusses how to identify and account for zero error when using micrometers and vernier calipers. It explains that a micrometer has positive zero error if the zero marking is below the datum line, and negative zero error if above, and in either case the zero error value must be subtracted from readings. Vernier calipers also require identifying and subtracting any zero error based on the misalignment of the zero marking and datum line.
A screw gauge is used to measure small lengths and diameters more accurately than a Vernier caliper. It works on the principle of a screw, where rotating the thimble causes the threaded spindle to move linearly. The spindle is connected to a main scale with millimeter divisions. Each division on the thimble's circular scale corresponds to 0.01mm movement. The least count is therefore 0.01mm. To take a measurement, the object is placed between the spindle and stud. Its diameter can be read where the thimble's zero aligns with the main scale.
This document contains a handout on measurements using vernier calipers. It includes 10 questions about using vernier calipers to measure lengths and diameters. It asks the student to determine readings, least counts, and correct measurements based on readings and known zero errors. The document also contains 4 review questions about the principle and use of vernier calipers, including determining the least count, correcting for zero error, and which type of vernier scale can measure more accurately.
The document discusses vernier calipers and micrometers. It describes the basic components and workings of each tool. Vernier calipers use a main scale and vernier scale to take more precise measurements than a simple caliper. A micrometer uses a precisely threaded screw that moves the spindle 0.5 mm with each full revolution. The least count of a micrometer, which is the smallest measurement it can make, depends on the screw pitch and number of divisions on the circular scale. Key parts of a micrometer include the frame, anvil, spindle, sleeve, screw, thimble, ratchet, and various scales.
The document discusses various types of linear measurement instruments. It describes precision instruments such as vernier calipers, micrometers, height gauges and depth gauges. Vernier calipers use two scales to increase measurement accuracy to 0.1mm. Micrometers can measure to 0.01mm using a screw mechanism and 50-division thimble scale. Precision instruments like depth micrometers and bench micrometers are used to measure internal features and provide repeated measurements.
This experimental presentation explains about the usage of the vernier caliper.
It starts with a definition of the vernier caliper, then goes on introducing the parts, errors, special definitions and as to how a measurement could be taken.
This document discusses measuring length using vernier calipers and micrometers. It describes the main parts of each instrument and how to take accurate readings. Choosing the appropriate measuring tool depends on the size, location, and difficulty of measuring the length. The document includes examples of measuring the diameter of objects and depth to illustrate how to select the best instrument. It concludes with a short quiz to test the understanding of using vernier calipers and micrometers.
micrometer and vernier calipers reading with instructionsmeenng
The document discusses how to read micrometers and vernier calipers, including determining zero error for micrometers. It explains that if the zero marking on the thimble is above the datum line, there is a negative zero error equal to the number of divisions between the markings times 0.01mm, and if below, there is a positive zero error equal to the thimble reading in millimeters. Readings taken on micrometers must subtract the determined zero error.
Chapter02 Measurements(Measuring Instruments) Lec-08
Learning Objectives
Review
Concept of Prefix in Physics
Measuring Instruments
Vernier Caliper
Screw Gauge
Review Questions
Prefix Used with SI Units
Measuring Instruments
1. Vernier CaliperMetter stick measures the length in mm at minimum level if we need to find even smaller values of length we use Vernier caliper. It can measure length up to 0.01 mm (10 Micrometers)
Home Task
Watch the provided videos and write the process of taking measurements from Vernier caliper and screw guage
Thank You For Your Cooperation
Presentation On SlideShare “Measuring Instruments (Measurements) Lec 08 ”
The document describes a micrometer or screw gauge, which is a precision measuring tool invented in 1638. It has two scales - a main linear scale graduated in 0.500 mm marks and a rotating scale with 50 divisions each equal to 0.010 mm. To take a measurement, the spindle is turned until it contacts the object being measured. The reading is the sum of the values indicated on the two scales. The precision or least count is 0.01 mm, determined by dividing the pitch (distance moved per rotation) by the number of divisions on the rotating scale. Potential sources of error include non-removal of zero error and improper reading.
How to use Vernier Caliper and how to take measurement from it.Salman Jailani
This document describes how to use a Vernier caliper to take measurements. It defines true value as the average of infinite measurements with zero average deviation, while measured value is the approximated true value found from multiple readings. Static error is the difference between measured and true values. The procedure explains how to check for zero error, take main and Vernier scale readings, calculate the measurement using least count, and record results from different specimens. Precautions include cleaning the caliper and items measured to minimize errors and get accurate readings.
Vernier calipers are measurement tools commonly used in the automotive industry. They have adjustable jaws that can measure external dimensions by placing an object between the lower jaws, or internal diameters by inserting the upper inverted jaws into a hole. To take a measurement, the object is placed between or inside the jaws and both the main scale and vernier scale are observed. The reading is where the vernier scale mark coincides with the main scale, with the main scale showing the first digit and the vernier scale showing the second digit of the measurement. Proper use requires positioning the jaws correctly, then locking them in place using the locking screw.
The document discusses various precision measurement tools including steel rules, fractional and decimal inch rulers, hooked rules, inside and outside calipers, dial and digital calipers, micrometers, gauge blocks, and squares. It provides details on how to use, read measurements from, and properly care for each type of tool. Examples and exercises are included to demonstrate how to perform measurements and calculations with fractions and in decimal and metric units.
This presentation is all about the micrometer screw gauge. First the presentation explains about the basics (parts, special definitions and errors) of a micrometer and finally , using example readings, explains as to how a measurement can be taken.
ME6504 Metrology and measurement unit 1prithiviraj M
The document discusses factors to consider in selecting measurement instruments, including sensitivity, hysteresis, range, span, response time, repeatability, accuracy, precision, and more. It also summarizes various methods of measurement such as direct, indirect, absolute, comparative, transposition, coincidence, deflection, complementary, contact, and contactless methods. The key aspects of a measurement system are to provide information about a physical variable being measured.
Metrology is the science of measurement and involves establishing measurement units, developing measurement methods, analyzing measurement errors, and ensuring accuracy. Key aspects of metrology include linear and angular measurements using various instruments ranging from simple rules and calipers to high-precision gauges, comparators, and microscopes. Metrology allows for planning, commercial exchange, and quality control through precise quantification.
This document discusses measurement errors and uncertainty. It defines measurement as assigning a number and unit to a property using an instrument. Error is the difference between the measured value and true value. There are two main types of error: random error, which varies unpredictably, and systematic error, which remains constant or varies predictably. Sources of error include the measuring instrument and technique used. Uncertainty is the doubt about a measurement and is quantified with an interval and confidence level, such as 20 cm ±1 cm at 95% confidence. Uncertainty is important for tasks like calibration where it must be reported.
This document discusses error analysis and significant figures in measurements. It defines absolute and relative errors, and explains that random errors can be estimated by taking multiple measurements and calculating their standard deviation. Systematic errors result from flaws in the measurement process. The document also provides rules for propagating errors through calculations based on measured values. Measurements should be reported with a number of significant figures consistent with their estimated error.
1) The document describes how to use a micrometer screw gauge to measure the diameter of a wire and thickness of a glass plate.
2) A micrometer screw gauge has a frame that holds an anvil and barrel. Turning the thimble moves a screw to take precise measurements.
3) To measure the diameter of a wire, it is inserted between the screw and anvil. Readings from the main and circular scales are used to calculate the diameter to within 0.01 mm.
This document discusses how to identify and account for zero error when using micrometers and vernier calipers. It explains that a micrometer has positive zero error if the zero marking is below the datum line, and negative zero error if above, and in either case the zero error value must be subtracted from readings. Vernier calipers also require identifying and subtracting any zero error based on the misalignment of the zero marking and datum line.
A screw gauge is used to measure small lengths and diameters more accurately than a Vernier caliper. It works on the principle of a screw, where rotating the thimble causes the threaded spindle to move linearly. The spindle is connected to a main scale with millimeter divisions. Each division on the thimble's circular scale corresponds to 0.01mm movement. The least count is therefore 0.01mm. To take a measurement, the object is placed between the spindle and stud. Its diameter can be read where the thimble's zero aligns with the main scale.
This document contains a handout on measurements using vernier calipers. It includes 10 questions about using vernier calipers to measure lengths and diameters. It asks the student to determine readings, least counts, and correct measurements based on readings and known zero errors. The document also contains 4 review questions about the principle and use of vernier calipers, including determining the least count, correcting for zero error, and which type of vernier scale can measure more accurately.
The document discusses vernier calipers and micrometers. It describes the basic components and workings of each tool. Vernier calipers use a main scale and vernier scale to take more precise measurements than a simple caliper. A micrometer uses a precisely threaded screw that moves the spindle 0.5 mm with each full revolution. The least count of a micrometer, which is the smallest measurement it can make, depends on the screw pitch and number of divisions on the circular scale. Key parts of a micrometer include the frame, anvil, spindle, sleeve, screw, thimble, ratchet, and various scales.
The document discusses various types of linear measurement instruments. It describes precision instruments such as vernier calipers, micrometers, height gauges and depth gauges. Vernier calipers use two scales to increase measurement accuracy to 0.1mm. Micrometers can measure to 0.01mm using a screw mechanism and 50-division thimble scale. Precision instruments like depth micrometers and bench micrometers are used to measure internal features and provide repeated measurements.
This experimental presentation explains about the usage of the vernier caliper.
It starts with a definition of the vernier caliper, then goes on introducing the parts, errors, special definitions and as to how a measurement could be taken.
This document discusses measuring length using vernier calipers and micrometers. It describes the main parts of each instrument and how to take accurate readings. Choosing the appropriate measuring tool depends on the size, location, and difficulty of measuring the length. The document includes examples of measuring the diameter of objects and depth to illustrate how to select the best instrument. It concludes with a short quiz to test the understanding of using vernier calipers and micrometers.
micrometer and vernier calipers reading with instructionsmeenng
The document discusses how to read micrometers and vernier calipers, including determining zero error for micrometers. It explains that if the zero marking on the thimble is above the datum line, there is a negative zero error equal to the number of divisions between the markings times 0.01mm, and if below, there is a positive zero error equal to the thimble reading in millimeters. Readings taken on micrometers must subtract the determined zero error.
Chapter02 Measurements(Measuring Instruments) Lec-08
Learning Objectives
Review
Concept of Prefix in Physics
Measuring Instruments
Vernier Caliper
Screw Gauge
Review Questions
Prefix Used with SI Units
Measuring Instruments
1. Vernier CaliperMetter stick measures the length in mm at minimum level if we need to find even smaller values of length we use Vernier caliper. It can measure length up to 0.01 mm (10 Micrometers)
Home Task
Watch the provided videos and write the process of taking measurements from Vernier caliper and screw guage
Thank You For Your Cooperation
Presentation On SlideShare “Measuring Instruments (Measurements) Lec 08 ”
The document describes a micrometer or screw gauge, which is a precision measuring tool invented in 1638. It has two scales - a main linear scale graduated in 0.500 mm marks and a rotating scale with 50 divisions each equal to 0.010 mm. To take a measurement, the spindle is turned until it contacts the object being measured. The reading is the sum of the values indicated on the two scales. The precision or least count is 0.01 mm, determined by dividing the pitch (distance moved per rotation) by the number of divisions on the rotating scale. Potential sources of error include non-removal of zero error and improper reading.
How to use Vernier Caliper and how to take measurement from it.Salman Jailani
This document describes how to use a Vernier caliper to take measurements. It defines true value as the average of infinite measurements with zero average deviation, while measured value is the approximated true value found from multiple readings. Static error is the difference between measured and true values. The procedure explains how to check for zero error, take main and Vernier scale readings, calculate the measurement using least count, and record results from different specimens. Precautions include cleaning the caliper and items measured to minimize errors and get accurate readings.
Vernier calipers are measurement tools commonly used in the automotive industry. They have adjustable jaws that can measure external dimensions by placing an object between the lower jaws, or internal diameters by inserting the upper inverted jaws into a hole. To take a measurement, the object is placed between or inside the jaws and both the main scale and vernier scale are observed. The reading is where the vernier scale mark coincides with the main scale, with the main scale showing the first digit and the vernier scale showing the second digit of the measurement. Proper use requires positioning the jaws correctly, then locking them in place using the locking screw.
The document discusses various precision measurement tools including steel rules, fractional and decimal inch rulers, hooked rules, inside and outside calipers, dial and digital calipers, micrometers, gauge blocks, and squares. It provides details on how to use, read measurements from, and properly care for each type of tool. Examples and exercises are included to demonstrate how to perform measurements and calculations with fractions and in decimal and metric units.
This presentation is all about the micrometer screw gauge. First the presentation explains about the basics (parts, special definitions and errors) of a micrometer and finally , using example readings, explains as to how a measurement can be taken.
ME6504 Metrology and measurement unit 1prithiviraj M
The document discusses factors to consider in selecting measurement instruments, including sensitivity, hysteresis, range, span, response time, repeatability, accuracy, precision, and more. It also summarizes various methods of measurement such as direct, indirect, absolute, comparative, transposition, coincidence, deflection, complementary, contact, and contactless methods. The key aspects of a measurement system are to provide information about a physical variable being measured.
Metrology is the science of measurement and involves establishing measurement units, developing measurement methods, analyzing measurement errors, and ensuring accuracy. Key aspects of metrology include linear and angular measurements using various instruments ranging from simple rules and calipers to high-precision gauges, comparators, and microscopes. Metrology allows for planning, commercial exchange, and quality control through precise quantification.
This document discusses measurement errors and uncertainty. It defines measurement as assigning a number and unit to a property using an instrument. Error is the difference between the measured value and true value. There are two main types of error: random error, which varies unpredictably, and systematic error, which remains constant or varies predictably. Sources of error include the measuring instrument and technique used. Uncertainty is the doubt about a measurement and is quantified with an interval and confidence level, such as 20 cm ±1 cm at 95% confidence. Uncertainty is important for tasks like calibration where it must be reported.
This document discusses error analysis and significant figures in measurements. It defines absolute and relative errors, and explains that random errors can be estimated by taking multiple measurements and calculating their standard deviation. Systematic errors result from flaws in the measurement process. The document also provides rules for propagating errors through calculations based on measured values. Measurements should be reported with a number of significant figures consistent with their estimated error.
This document discusses measurement errors and standards. It defines key terms related to measurement accuracy and precision. Accuracy is the closeness of a measurement to the true value, while precision refers to the consistency of repeated measurements. Errors can be absolute or relative. Systematic errors are due to instrument flaws, while random errors have unknown causes. The document also discusses limiting/guarantee errors, which specify the maximum allowed deviation from a component's rated value. Resolution refers to the smallest detectable change in a measurement. Sensitivity is the change in output per unit change in input.
Calculation of least count in metric & imperialWaaqif Khan
This document discusses how to calculate the least count, or smallest measurement, of metric and imperial vernier calipers. The least count is determined by the number of divisions on the main scale and vernier scale. For a metric caliper with a main scale divided into tenths of a centimeter and a vernier scale with ten divisions, the least count is 0.01 cm. For imperial calipers, the least count depends on whether the vernier scale has 25 or 40 divisions, yielding measurements of 0.001 or 0.0025 inches respectively. Calculating the least count is important for ensuring accurate measurements.
introduction to Mechanical Measurement and Metrology.Prof.Mayur Modi
This document discusses various concepts related to measurement in mechanical engineering. It defines key terms like accuracy, precision, linearity, sensitivity, readability, calibration, repeatability, reproducibility, and sources of error in measurement. Accuracy refers to how close a measurement is to the true value, while precision refers to the consistency of repeated measurements. Errors can arise from reading errors, characteristics of the measuring instrument, environmental factors, loading effects, and dynamic influences. Proper measurement requires selecting an appropriate method and standard, and accounting for various error sources.
The document describes various scientific measurement instruments and their uses, including rulers, vernier calipers, and micrometer screw gauges. It also discusses best practices for taking accurate measurements and analyzing scientific experiments. Rulers are used to measure lengths up to 1 meter with an accuracy of 1 mm. Vernier calipers can measure objects up to 12 cm with an accuracy of 0.01 cm. Micrometer screw gauges can precisely measure small lengths between 0.1-25 mm with an accuracy of 0.01 mm. Key steps in analyzing experiments include determining variables, forming a hypothesis, collecting data, interpreting results, and drawing a conclusion.
Metrology and instrumentation lab manualsuresh kumar
The document provides details on using linear measuring instruments like vernier caliper and micrometer to measure dimensions of specimens. It describes the working principles, parts, and procedures to find least count, zero error correction, and average measurements of specimens. Practical demonstrations are presented on using vernier height gauge and depth gauge to measure external and internal dimensions respectively. Precautions for accurate measurements are also highlighted.
This document discusses sources of error in measurement and the importance of accuracy. It explains that random errors can cause inconsistent readings and averaging repeated measurements can reduce these errors. Common sources of error include instrument errors, non-linear relationships in instruments, errors from reading scales incorrectly, environmental factors, and human errors. Taking the average of multiple readings eliminates random variations between readings and provides a more accurate result.
What is a measurement and what measurement is not
What is uncertainty of measurement?
Error versus uncertainty
Why is uncertainty of measurement important?
Basic statistics on sets of numbers
The general kinds of uncertainty in any measurement
For a free course, visit - www.theapprentiice.com
Here are the steps to calculate variance and standard deviation from a data set:
1. Find the mean (average) of all the measurements. Add up all values and divide by the total number of measurements.
2. For each measurement, calculate the difference between that measurement and the mean. Square each difference.
3. Add up all the squared differences and divide by the total number of measurements minus 1. This gives the variance.
4. Take the square root of the variance. This gives the standard deviation.
The standard deviation indicates how far the measurements spread out from the mean. A low standard deviation means the values are close to the mean, while a high standard deviation means they are more spread out.
Here are the steps to draw the graph shown:
1. Label the axes - In this case, the x-axis is labeled "Time (s)" and the y-axis is labeled "Displacement (m)".
2. Determine the scale of the axes - The scale allows you to determine the increments on each axis. In this graph, the x-axis scale appears to be 1 second per increment and the y-axis scale appears to be 1 meter per increment.
3. Plot the initial data point - The first data point given is (0,0) which represents time 0 seconds and displacement 0 meters. This point is plotted at the origin (where the axes intersect).
4. Plot subsequent data
This document discusses different types of errors in experimental measurements and calculations. It describes random errors, which vary unpredictably, and systematic errors, which are consistent biases. Random errors can be reduced by taking more trials, while systematic errors must be accounted for. Mistakes are distinguished from errors. Significant figures rules for measurements and calculations are explained. The concepts of uncertainty, including limits of reading, degrees of uncertainty, absolute and relative uncertainty, and uncertainty propagation through calculations, are introduced.
This document provides an overview of instrumentation and control engineering. It discusses fundamentals of measurement systems including instrument types, performance characteristics, sources of error, and statistical analysis of experimental data. It describes different types of measuring instruments and their characteristics such as accuracy, precision, calibration, uncertainty, and error. Examples of specific instruments are provided such as pressure gauges, differential pressure gauges, and liquid level measurement techniques. The document also discusses amplifiers used to increase sensor signals.
The document discusses various measurement and inspection tools used in manufacturing including vernier calipers, micrometers, dial indicators, surface plates, and various types of gauges. It defines nominal size, actual size, basic size, fits, limits, tolerance, and allowance. It also discusses features such as least count, zero error, backlash, and uses of tools like vernier height gauges, depth gauges, and bevel protractors. Reasons for potential false readings are outlined for various tools.
The document discusses secondary instruments used for measurement. It defines secondary instruments as those that must be calibrated by comparison with an absolute instrument or another calibrated secondary instrument. Secondary instruments are further classified as indicating, integrating, and recording instruments. Indicating instruments show the magnitude of a quantity, integrating instruments measure total quantity or energy over time, and recording instruments provide a continuous record of a quantity's variation over a period of time through pen tracings. The document also discusses concepts such as precision, accuracy, resolution uncertainty, types of errors including gross, systematic, and random, and the loading effect.
This document discusses measurement and uncertainties in the SI system of units. It describes the fundamental SI units of length, mass, time, electric current, temperature, and amount of substance. Derived quantities are those involving two or more fundamental units, with derived units having specific names and symbols. Standards for the metre, kilogram and second are defined. Conversion between units is explained. Errors can be random or systematic. Random errors decrease with multiple measurements but systematic errors do not. Accuracy refers to closeness to the accepted value while precision refers to the agreement between measurements. The limit of reading and degree of uncertainty are defined. Methods to reduce random uncertainties include taking multiple readings and calculating the mean and absolute error. Absolute, fractional and percentage uncertainties are
Scalar quantities have magnitude only, such as length, time, temperature. Vector quantities have both magnitude and direction, such as displacement, velocity, force.
There are two main types of errors in measurement - systematic errors and random errors. Systematic errors consistently shift measurements in one direction, such as zero errors or calibration errors. Random errors vary unpredictably between measurements, caused by factors like human error or environmental changes. Precision refers to the consistency of measurements while accuracy refers to how close measurements are to the true value.
The document discusses various methods of measurement used in mechanical engineering. It describes 6 main methods: direct, indirect, comparative, coincidence, deflection, and complementary. The direct method involves measuring a quantity directly using instruments like calipers or micrometers. The indirect method measures related quantities using transducers. Other methods compare an unknown quantity to a standard, detect small differences through alignment, indicate values through deflection, or determine a quantity by combination with a known value. The document also defines key terms in measurement like accuracy, precision, sensitivity, and calibration, and discusses sources of error.
Introduction- e - waste – definition - sources of e-waste– hazardous substances in e-waste - effects of e-waste on environment and human health- need for e-waste management– e-waste handling rules - waste minimization techniques for managing e-waste – recycling of e-waste - disposal treatment methods of e- waste – mechanism of extraction of precious metal from leaching solution-global Scenario of E-waste – E-waste in India- case studies.
Understanding Inductive Bias in Machine LearningSUTEJAS
This presentation explores the concept of inductive bias in machine learning. It explains how algorithms come with built-in assumptions and preferences that guide the learning process. You'll learn about the different types of inductive bias and how they can impact the performance and generalizability of machine learning models.
The presentation also covers the positive and negative aspects of inductive bias, along with strategies for mitigating potential drawbacks. We'll explore examples of how bias manifests in algorithms like neural networks and decision trees.
By understanding inductive bias, you can gain valuable insights into how machine learning models work and make informed decisions when building and deploying them.
TIME DIVISION MULTIPLEXING TECHNIQUE FOR COMMUNICATION SYSTEMHODECEDSIET
Time Division Multiplexing (TDM) is a method of transmitting multiple signals over a single communication channel by dividing the signal into many segments, each having a very short duration of time. These time slots are then allocated to different data streams, allowing multiple signals to share the same transmission medium efficiently. TDM is widely used in telecommunications and data communication systems.
### How TDM Works
1. **Time Slots Allocation**: The core principle of TDM is to assign distinct time slots to each signal. During each time slot, the respective signal is transmitted, and then the process repeats cyclically. For example, if there are four signals to be transmitted, the TDM cycle will divide time into four slots, each assigned to one signal.
2. **Synchronization**: Synchronization is crucial in TDM systems to ensure that the signals are correctly aligned with their respective time slots. Both the transmitter and receiver must be synchronized to avoid any overlap or loss of data. This synchronization is typically maintained by a clock signal that ensures time slots are accurately aligned.
3. **Frame Structure**: TDM data is organized into frames, where each frame consists of a set of time slots. Each frame is repeated at regular intervals, ensuring continuous transmission of data streams. The frame structure helps in managing the data streams and maintaining the synchronization between the transmitter and receiver.
4. **Multiplexer and Demultiplexer**: At the transmitting end, a multiplexer combines multiple input signals into a single composite signal by assigning each signal to a specific time slot. At the receiving end, a demultiplexer separates the composite signal back into individual signals based on their respective time slots.
### Types of TDM
1. **Synchronous TDM**: In synchronous TDM, time slots are pre-assigned to each signal, regardless of whether the signal has data to transmit or not. This can lead to inefficiencies if some time slots remain empty due to the absence of data.
2. **Asynchronous TDM (or Statistical TDM)**: Asynchronous TDM addresses the inefficiencies of synchronous TDM by allocating time slots dynamically based on the presence of data. Time slots are assigned only when there is data to transmit, which optimizes the use of the communication channel.
### Applications of TDM
- **Telecommunications**: TDM is extensively used in telecommunication systems, such as in T1 and E1 lines, where multiple telephone calls are transmitted over a single line by assigning each call to a specific time slot.
- **Digital Audio and Video Broadcasting**: TDM is used in broadcasting systems to transmit multiple audio or video streams over a single channel, ensuring efficient use of bandwidth.
- **Computer Networks**: TDM is used in network protocols and systems to manage the transmission of data from multiple sources over a single network medium.
### Advantages of TDM
- **Efficient Use of Bandwidth**: TDM all
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7. CONSTRUCTION
In Vernier Scale there are n number of division
as per manufacturer.
Vernier calliper is made up of the S.S.
In digital Vernier calliper display window is made up of
hard
plastic.
12. ERROR
Zero error: Vernier scale 0 and main scale met each
other Positive error: Vernier scale 0 is after main
scale
◦ Correct reading=actual reading -error
Negative error: Vernier scale 0 is before main scale
◦ Correct reading=actual reading +error
13. STORAGE
Avoid direct sun
light, low
temperature, high
temperature and
high humidity.
Don’t leave the
jaws of a caliper
completely closed
during storage.
14. Error
Error is the difference between the actual value and the
calculated value of any physical quantity. Basically, there
are three types of errors, random errors, blunders, and
systematic errors
15. Sources of errors
• Negligence or inexperience of a person.
• Faulty apparatus.
• Inappropriate method or technique.
16. Difference between error and
uncertainties
The basic difference between errors and uncertainties is that error is the
difference between the calculated value and actual value, while uncertainty is
usually described as an error in measurement.
20. How can we reduce random error?
The random error can be reduced by taking several readings of the same
quantity and then taking their mean value.
21. Systematic error
Systematic errors occur when all the measurements of physical quantities are
affected equally, these give the consistent difference in the readings.
22. Reasons for systematic errors:
• Zero error in measuring instrument
• Poor calibration of the instrument
• Incorrect calibration on the measuring instruments.
23. How can we reduce systematic
errors?
We can reduce systematic errors by comparing the instrument with another
instrument that is known to be more accurate. Thus, systematic error is reduced
by applying a correction factor to all the reading taken on an instrument.