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© 2014 Pearson Education, Inc.
This work is protected by United States copyright laws and is provided solely for
the use of instructors in teaching their courses and assessing student learning.
Dissemination or sale of any part of this work (including on the World Wide Web)
will destroy the integrity of the work and is not permitted. The work and materials
from it should never be made available to students except by instructors using
the accompanying text in their classes. All recipients of this work are expected to
abide by these restrictions and to honor the intended pedagogical purposes and
the needs of other instructors who rely on these materials.
Lecture PowerPoints
Chapter 1
Physics: Principles with
Applications, 7th edition
Giancoli
Chapter 1
Introduction, Measurement,
Estimating
© 2014 Pearson Education, Inc.
Contents of Chapter 1
• The Nature of Science
• Physics and Its Relation to Other Fields
• Models, Theories, and Laws
• Measurement and Uncertainty; Significant Figures
• Units, Standards, and the SI System
• Converting Units
• Order of Magnitude: Rapid Estimating
• Dimensions and Dimensional Analysis
© 2014 Pearson Education, Inc.
1-1 The Nature of Science
• Science has a nature
• Nature is the natural, physical, or material world or
universe.
• Physics as a branch of science, deals with nature and
the relationship between matter and energy.
• It is the natural science that is based on experiments,
measurements and mathematical analysis with the
purpose of finding physical laws that govern everything
© 2014 Pearson Education, Inc.
1-1 The Nature of Science
• The process involved before a law in physics is accepted:
• Hypothesis
• Theories
• Law
• Model
• Hypothesis:
• A tentative explanation that can be tested by further
investigation.
• Experiment is a controlled method of testing a hypothesis
© 2014 Pearson Education, Inc.
1-1 The Nature of Science
• Theories:
• A comprehensive explanation of an important feature
of nature supported by facts that have been repeatedly
confirmed through observation and experimentation
over time.
• Example: quantum theory
© 2014 Pearson Education, Inc.
1-1 The Nature of Science
• Law: they are similar to scientific theories in that they
are principles that can be used to predict the behavior
of natural world. Both law and theories are well
supported by observation and/or experimental
evidence. It summarizes the relationship between
variables. E.g Newton’s law.
• The difference between them are:
• Law are frequently written as an equation and
describes what happens.
• Theories are more of explanation. It explains why we
observe what we do.
© 2014 Pearson Education, Inc.
1-1 The Nature of Science
• Model:
• A description, simulation, graphic, or 3-D
representation of theory used to help enhance
understanding.
© 2014 Pearson Education, Inc.
1-1 The Nature of Science
• Observation: important first step toward scientific
theory; requires imagination to tell what is important.
• Theories: created to explain observations; will make
predictions.
• Observations will tell if the prediction is accurate, and
the cycle goes on.
© 2014 Pearson Education, Inc.
1-2 Models, Theories, and Laws
Models are very useful during the process of
understanding phenomena. A model creates mental
pictures; care must be taken to understand the limits of
the model and not take it too seriously.
A theory is detailed and can give testable predictions.
A law is a brief description of how nature behaves in a
broad set of circumstances.
A principle is similar to a law, but applies to a narrower
range of phenomena.
© 2014 Pearson Education, Inc.
1-2 The Nature of Science
How does a new theory get accepted?
• Predictions agree better with data
• Explains a greater range of phenomena
© 2014 Pearson Education, Inc.
1-3 Physics and Its Relation to Other Fields
Physics is needed in both
architecture and engineering.
Other fields that use physics,
and make contributions to it:
physiology, zoology, life
sciences, …
© 2014 Pearson Education, Inc.
1-3 Physics and Its Relation to Other Fields
Communication between architects and engineers is
essential if disaster is to be avoided.
© 2014 Pearson Education, Inc.
1-4 Measurement and Uncertainty;
Significant Figures
No measurement is exact; there is always some
uncertainty due to
1. limited instrument accuracy (systematic error)
2. difficulty reading results (random/human error).
The photograph below illustrates this—it would be
difficult to measure the width of this 2×4 to better than a
millimeter.
© 2014 Pearson Education, Inc.
1-4 Measurement and Uncertainty;
Significant Figures
Estimated uncertainty is written with a ± sign; for
example: 8.8 ± 0.1 cm
Percent uncertainty is the ratio of the uncertainty to the
measured value, multiplied by 100:
© 2014 Pearson Education, Inc.
1-4 Measurement and Uncertainty;
Significant Figures
The number of significant figures is the number of
reliably known digits in a number. The way the number
is written should indicate the number of significant
figures:
• 23.21 cm has 4 significant figures
• 0.062 cm has 2 significant figures (the initial zeroes
don’t count)
• 80 km is ambiguous—it could have 1 or 2 significant
figures. If it has 3, it should be written 80.0 km.
© 2014 Pearson Education, Inc.
1-4 Measurement and Uncertainty;
Significant Figures
When multiplying or dividing numbers, the result has as
many significant figures as the number used in the
calculation with the fewest significant figures.
Example: 11.3 cm x 6.8 cm = 77 cm
When adding or subtracting, the answer is no more
accurate than the least accurate number used.
© 2014 Pearson Education, Inc.
1-4 Measurement and Uncertainty;
Significant Figures
Calculators will not give you the
right number of significant figures;
they usually give too many but
sometimes give too few (especially
if there are trailing zeroes after a
decimal point).
The top calculator shows the result
of 2.0 / 3.0.
The bottom calculator shows the
result of 2.5 × 3.2.
© 2014 Pearson Education, Inc.
1-5 PHYSICAL QUANTITIES
• Physical quantities are physical properties in physics
that can be measured.
• They have two parts: eg. 20 kg
• 1. Numerical
• 2. Alphabetical
• Numerical part : size/magnitude
• Alphabetical part: it is the quantity that specifies the
specific physical quantity-SI unit.
© 2014 Pearson Education, Inc.
1-5 PHYSICAL QUANTITIES
• Categories physical quantities:
• Fundamental/base
• Derived
• supplementary
© 2014 Pearson Education, Inc.
1-5 Units, Standards, and the SI System
© 2014 Pearson Education, Inc.
Quantity Unit Standard
Length Meter Length of the path traveled by
light in 1/299,792,458 second.
Time Second Time required for 9,192,631,770
periods of radiation emitted by
cesium atoms
Mass Kilogram Platinum cylinder in
International Bureau of Weights
and Measures, Paris
1-5 Units, Standards, and the SI System
These are the standard SI
prefixes for indicating
powers of 10. Many are
familiar; Y, Z, E, h, da, a, z,
and y are rarely used.
© 2014 Pearson Education, Inc.
1-5 Units, Standards, and the SI System
We will be working in the SI system, where the basic
units are kilograms, meters, and seconds.
Other systems: cgs; units
are grams, centimeters, and
seconds.
British engineering system
has force instead of mass as
one of its basic quantities,
which are feet, pounds, and
seconds.
© 2014 Pearson Education, Inc.
1-6 Converting Units
Converting between metric units, for example from kg
to g, is easy, as all it involves is powers of 10.
Converting to and from British units is considerably
more work.
For example, given that
1 m = 3.28084 ft, this
8611-m mountain is
28251 feet high.
© 2014 Pearson Education, Inc.
1-7 Order of Magnitude: Rapid Estimating
A quick way to estimate a
calculated quantity is to round off
all numbers to one significant
figure and then calculate. Your
result should at least be the right
order of magnitude; this can be
expressed by rounding it off to
the nearest power of 10.
Diagrams are also very useful in
making estimations.
© 2014 Pearson Education, Inc.
1-8 Dimensions and Dimensional Analysis
Dimensions of a quantity are the base units that make it
up; they are generally written using square brackets.
Example: Speed = distance / time
Dimensions of speed: [L/T]
Quantities that are being added or subtracted must have
the same dimensions. In addition, a quantity calculated
as the solution to a problem should have the correct
dimensions.
© 2014 Pearson Education, Inc.
Summary of Chapter 1
• Theories are created to explain observations, and then
tested based on their predictions.
• A model is like an analogy; it is not intended to be a true
picture, but just to provide a familiar way of envisioning
a quantity.
• A theory is much more well-developed, and can make
testable predictions; a law is a theory that can be
explained simply, and which is widely applicable.
• Dimensional analysis is useful for checking calculations.
© 2014 Pearson Education, Inc.
© 2014 Pearson Education, Inc.

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1. Measurement.pptx

  • 1. © 2014 Pearson Education, Inc. This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning. Dissemination or sale of any part of this work (including on the World Wide Web) will destroy the integrity of the work and is not permitted. The work and materials from it should never be made available to students except by instructors using the accompanying text in their classes. All recipients of this work are expected to abide by these restrictions and to honor the intended pedagogical purposes and the needs of other instructors who rely on these materials. Lecture PowerPoints Chapter 1 Physics: Principles with Applications, 7th edition Giancoli
  • 3. Contents of Chapter 1 • The Nature of Science • Physics and Its Relation to Other Fields • Models, Theories, and Laws • Measurement and Uncertainty; Significant Figures • Units, Standards, and the SI System • Converting Units • Order of Magnitude: Rapid Estimating • Dimensions and Dimensional Analysis © 2014 Pearson Education, Inc.
  • 4. 1-1 The Nature of Science • Science has a nature • Nature is the natural, physical, or material world or universe. • Physics as a branch of science, deals with nature and the relationship between matter and energy. • It is the natural science that is based on experiments, measurements and mathematical analysis with the purpose of finding physical laws that govern everything © 2014 Pearson Education, Inc.
  • 5. 1-1 The Nature of Science • The process involved before a law in physics is accepted: • Hypothesis • Theories • Law • Model • Hypothesis: • A tentative explanation that can be tested by further investigation. • Experiment is a controlled method of testing a hypothesis © 2014 Pearson Education, Inc.
  • 6. 1-1 The Nature of Science • Theories: • A comprehensive explanation of an important feature of nature supported by facts that have been repeatedly confirmed through observation and experimentation over time. • Example: quantum theory © 2014 Pearson Education, Inc.
  • 7. 1-1 The Nature of Science • Law: they are similar to scientific theories in that they are principles that can be used to predict the behavior of natural world. Both law and theories are well supported by observation and/or experimental evidence. It summarizes the relationship between variables. E.g Newton’s law. • The difference between them are: • Law are frequently written as an equation and describes what happens. • Theories are more of explanation. It explains why we observe what we do. © 2014 Pearson Education, Inc.
  • 8. 1-1 The Nature of Science • Model: • A description, simulation, graphic, or 3-D representation of theory used to help enhance understanding. © 2014 Pearson Education, Inc.
  • 9. 1-1 The Nature of Science • Observation: important first step toward scientific theory; requires imagination to tell what is important. • Theories: created to explain observations; will make predictions. • Observations will tell if the prediction is accurate, and the cycle goes on. © 2014 Pearson Education, Inc.
  • 10. 1-2 Models, Theories, and Laws Models are very useful during the process of understanding phenomena. A model creates mental pictures; care must be taken to understand the limits of the model and not take it too seriously. A theory is detailed and can give testable predictions. A law is a brief description of how nature behaves in a broad set of circumstances. A principle is similar to a law, but applies to a narrower range of phenomena. © 2014 Pearson Education, Inc.
  • 11. 1-2 The Nature of Science How does a new theory get accepted? • Predictions agree better with data • Explains a greater range of phenomena © 2014 Pearson Education, Inc.
  • 12. 1-3 Physics and Its Relation to Other Fields Physics is needed in both architecture and engineering. Other fields that use physics, and make contributions to it: physiology, zoology, life sciences, … © 2014 Pearson Education, Inc.
  • 13. 1-3 Physics and Its Relation to Other Fields Communication between architects and engineers is essential if disaster is to be avoided. © 2014 Pearson Education, Inc.
  • 14. 1-4 Measurement and Uncertainty; Significant Figures No measurement is exact; there is always some uncertainty due to 1. limited instrument accuracy (systematic error) 2. difficulty reading results (random/human error). The photograph below illustrates this—it would be difficult to measure the width of this 2×4 to better than a millimeter. © 2014 Pearson Education, Inc.
  • 15. 1-4 Measurement and Uncertainty; Significant Figures Estimated uncertainty is written with a ± sign; for example: 8.8 ± 0.1 cm Percent uncertainty is the ratio of the uncertainty to the measured value, multiplied by 100: © 2014 Pearson Education, Inc.
  • 16. 1-4 Measurement and Uncertainty; Significant Figures The number of significant figures is the number of reliably known digits in a number. The way the number is written should indicate the number of significant figures: • 23.21 cm has 4 significant figures • 0.062 cm has 2 significant figures (the initial zeroes don’t count) • 80 km is ambiguous—it could have 1 or 2 significant figures. If it has 3, it should be written 80.0 km. © 2014 Pearson Education, Inc.
  • 17. 1-4 Measurement and Uncertainty; Significant Figures When multiplying or dividing numbers, the result has as many significant figures as the number used in the calculation with the fewest significant figures. Example: 11.3 cm x 6.8 cm = 77 cm When adding or subtracting, the answer is no more accurate than the least accurate number used. © 2014 Pearson Education, Inc.
  • 18. 1-4 Measurement and Uncertainty; Significant Figures Calculators will not give you the right number of significant figures; they usually give too many but sometimes give too few (especially if there are trailing zeroes after a decimal point). The top calculator shows the result of 2.0 / 3.0. The bottom calculator shows the result of 2.5 × 3.2. © 2014 Pearson Education, Inc.
  • 19. 1-5 PHYSICAL QUANTITIES • Physical quantities are physical properties in physics that can be measured. • They have two parts: eg. 20 kg • 1. Numerical • 2. Alphabetical • Numerical part : size/magnitude • Alphabetical part: it is the quantity that specifies the specific physical quantity-SI unit. © 2014 Pearson Education, Inc.
  • 20. 1-5 PHYSICAL QUANTITIES • Categories physical quantities: • Fundamental/base • Derived • supplementary © 2014 Pearson Education, Inc.
  • 21. 1-5 Units, Standards, and the SI System © 2014 Pearson Education, Inc. Quantity Unit Standard Length Meter Length of the path traveled by light in 1/299,792,458 second. Time Second Time required for 9,192,631,770 periods of radiation emitted by cesium atoms Mass Kilogram Platinum cylinder in International Bureau of Weights and Measures, Paris
  • 22. 1-5 Units, Standards, and the SI System These are the standard SI prefixes for indicating powers of 10. Many are familiar; Y, Z, E, h, da, a, z, and y are rarely used. © 2014 Pearson Education, Inc.
  • 23. 1-5 Units, Standards, and the SI System We will be working in the SI system, where the basic units are kilograms, meters, and seconds. Other systems: cgs; units are grams, centimeters, and seconds. British engineering system has force instead of mass as one of its basic quantities, which are feet, pounds, and seconds. © 2014 Pearson Education, Inc.
  • 24. 1-6 Converting Units Converting between metric units, for example from kg to g, is easy, as all it involves is powers of 10. Converting to and from British units is considerably more work. For example, given that 1 m = 3.28084 ft, this 8611-m mountain is 28251 feet high. © 2014 Pearson Education, Inc.
  • 25. 1-7 Order of Magnitude: Rapid Estimating A quick way to estimate a calculated quantity is to round off all numbers to one significant figure and then calculate. Your result should at least be the right order of magnitude; this can be expressed by rounding it off to the nearest power of 10. Diagrams are also very useful in making estimations. © 2014 Pearson Education, Inc.
  • 26. 1-8 Dimensions and Dimensional Analysis Dimensions of a quantity are the base units that make it up; they are generally written using square brackets. Example: Speed = distance / time Dimensions of speed: [L/T] Quantities that are being added or subtracted must have the same dimensions. In addition, a quantity calculated as the solution to a problem should have the correct dimensions. © 2014 Pearson Education, Inc.
  • 27. Summary of Chapter 1 • Theories are created to explain observations, and then tested based on their predictions. • A model is like an analogy; it is not intended to be a true picture, but just to provide a familiar way of envisioning a quantity. • A theory is much more well-developed, and can make testable predictions; a law is a theory that can be explained simply, and which is widely applicable. • Dimensional analysis is useful for checking calculations. © 2014 Pearson Education, Inc.
  • 28. © 2014 Pearson Education, Inc.

Editor's Notes

  1. Over the course of human history, people have developed many interconnected and validated ideas about the physical, biological, psychological, and social worlds. Those ideas have enabled successive generations to achieve an increasingly comprehensive and reliable understanding of the human species and its environment. The means used to develop these ideas are particular ways of observing, thinking, experimenting, and validating. These ways represent a fundamental aspect of the nature of science and reflect how science tends to differ from other modes of knowing.
  2. In science, a model is a representation of an idea, an object or even a process or a system that is used to describe and explain phenomena that cannot be experienced directly. Models are central to what scientists do, both in their research as well as when communicating their explanations. Models are a mentally visual way of linking theory with experiment, and they guide research by being simplified representations of an imagined reality that enable predictions to be developed and tested by experiment.  A theory presents a systematic way of understanding events or situations. It is a set of concepts, definitions, and propositions that explain or predict these events or situations by illustrating the relationships between variables. A law in science is a generalized rule to explain a body of observations in the form of a verbal or mathematical statement.
  3. Measurement is a process of detecting an unknown physical quantity by using standard quantity. For example: Take a book and use ruler (scale) to find its length. Suppose the length was 20 cm. You underwent through a process called Measurement where: The unknown physical quantity was the length of book. There are two types of measurement errors: Random Errors Systematic Errors Random Errors Random errors occur when measurements are being made; as a result, the measurements may vary in unpredictable ways, which could result in a significant deviation from the true value. The ruler was the standard quantity. 20 was the magnitude. cm was the unit of the book-length.
  4. The interval in which the true value lies is called the uncertainty in the measurement. Absolute Uncertainty or ± value The absolute uncertainty in the mean value of measurements is half the range of the measurements. E.g. Suppose the measurements of the diameter of a pin by a Vernier Calliper are as follows: 0.25mm; 0.24mm;0.26mm; 0.23mm;0.27mm; The mean = (0.25 + 0.24 + 0.26 + 0.23 + 0.27)/5 =125/5 = 0.25mm The range = 0.27 - 0.23 = 0.04mm Absolute Uncertainty = ± 0.04/2 = ± 0.02 So, the mean value = mean ± range/2  = 25 ± 0.04/2 = 25 ± 0.02 Accuracy: This is the closeness of the measured values to the true value. Precision: This is the closeness of the measured values to each other: the closer they are to each other, the more precise they are.
  5. Units provide specific meaning to the magnitude of a substance. Units of measurement provide standard to identify measurement of a physical quantify. For example: If you say that, the volume of your notebook is 25, it provides no exact meaning because it could be 25 mm3 or 25 cm3 or 25 dm3 and many more. But if you use units cm3, it provides accurate meaning that the volume of the notebook is 25 cm3.