Contents

Preface

Acknowledgements

Author

Chapter 1   Units and Measurements

1.1     Scientific Notation

1.2     Units of Length

1.2.1   Mechanical Measuring Instruments

1.2.2   Recording and Calculating with Measurements

1.2.3   Significant Digits

1.2.4   Rounding Off

1.2.5   Addition/Subtraction

1.2.6   Multiplication/Division

1.2.7   Calibration

1.2.8   Unit Conversions

1.2.9   The Bracket Method

1.2.10   Multiple Conversions

1.2.11   Measuring Length Electronically

1.3     Area

1.3.1   Surface Area of Three-Dimensional Objects

1.3.2   The Bracket Method Revisited

1.4     Volume Calculations

1.4.1   Volume Units

1.4.2   Volume Unit Conversions—The Bracket Method

1.4.3   Measuring Volume

1.5     Mass and Weight

1.6     Time

1.6.1   Time Measurement by Mechanical Devices

1.6.2   Electronic Measurement Devices

1.6.3   Calibrating Clocks

1.7     Chapter Summary

1.7.1   Significant Digits

1.7.2   Adding and Subtracting Significant Digits

1.7.3   Multiplying and Dividing Significant Digits

1.7.4   Conversions

1.7.4.1   Length

1.7.4.2   Area

1.7.4.3   Volume

1.7.4.4   Formulas for Area

1.7.4.5   Formulas for Volume

Chapter 2   Linear Motion

2.1     Rates

2.2     Vector

2.3     Scalar

2.4     Coordinate Systems

2.5     Velocity and Speed

2.6     Instantaneous Velocity

2.7     Measuring Speed, Speedometers

2.8     Acceleration

2.8.1   Acceleration Due to Gravity (Free-Fall Acceleration)

2.8.2   Accelerometers

2.8.3   Accelerated Systems with a Constant Acceleration

2.8.4   Problem Solving Procedure

2.9     Chapter Summary

Chapter 3   Force and Momentum

3.1     Force

3.1.1   Measuring Force

3.1.2   Electronic Scales

3.2     Mass and Weight

3.3     Gravitational Force

3.4     Redefining the Kilogram

3.5     Newton’s Laws

3.6     Multiple Forces

3.7     Static Equilibrium

3.8     Forces Acting in Two or Three Dimensions

3.9     Friction

3.9.1   Key Points about Frictional Force

3.9.2   Rolling Friction

3.9.3   Reducing Friction

3.10   Momentum

3.11   Action Reaction

3.12   Conservation of Momentum

3.13   Chapter Summary

3.13.1   Formulas

3.13.2   Conversions

3.13.3   Key Points about Frictional Force

Chapter 4   Energy, Work, and Power

4.1     Energy/Work Units

4.2     Efficiency

4.3     Potential Energy Sources

4.3.1   Gravitational

4.3.2   Springs

4.3.3   Batteries

4.3.4   Fuels

4.4     Kinetic Energy

4.5     Work and Kinetic Energy

4.6     Energy Conservation

4.7     Work and Potential Energy

4.8     Power

4.9     Kilowatt-Hours

4.10   Power, Force, and Velocity

4.11   Other Sources of Energy

4.11.1   Fuel Cells

4.11.2   Wind

4.11.3   Hydroelectric Energy

4.11.4   Solar Energy

4.11.5   Lightning

4.11.6   Fusion

4.12   Chapter Summary

4.12.1   Conversions

Chapter 5   Rotational Motion

5.1     Measuring Angles

5.1.1   Potentiometer

5.1.2   Mechanical Rotary Encoder

5.1.3   Optical Rotary Encoder

5.1.4   Gyroscope

5.2     Distance Measurements along a Circle

5.3     Angular Velocity

5.3.1   Measuring Angular Velocity

5.3.2   Tachometer

5.3.3   Magnetic Pickup Coil Tachometer

5.4     Angular Velocity Calculations

5.5     Circular Velocity

5.6     Centripetal Acceleration

5.7     Centripetal Force

5.8     Centrifugal Force

5.8.1   Geosynchronous Orbits

5.9     Transmissions

5.10   Torque

5.11   Torque and Power

5.12   Changing Torque

5.13   Chapter Summary

Chapter 6   Machines

6.1     Mechanical Advantage

6.2     Efficiency

6.3     The Lever

6.4     The Pulley

6.5     The Wheel and Axle

6.6     The Inclined Plane

6.7     The Screw

6.8     Wedge

6.9     Compound Machines

6.10   Chapter Summary

Chapter 7   Strength of Materials

7.1     Strength

7.2     Springs

7.3     Stress

7.4     Strain

7.5     Stress/Strain Behavior

7.5.1   Space Elevator

7.5.2   Young’s Modulus of Elasticity

7.6     Bulk Modulus

7.7     Shear Modulus

7.8     Hardness

7.9     Malleability

7.10   Ductility

7.11   Chapter Summary

Chapter 8   Fluids

8.1     Properties of Fluids

8.2     Capillary Action

8.3     Viscosity

8.4     Specific Gravity

8.5     Determining Concentrations of Solutions

8.6     Hydrometer

8.7     Buoyancy

8.8     Archimedes’ Principle

8.9     Pressure

8.10   Measuring Pressure

8.11   Barometer

8.12   Pressure versus Depth

8.13   Hydraulics

8.14   Braking Systems

8.15   Pneumatics

8.16   Chapter Summary

Chapter 9   Fluid Flow

9.1     Types of Fluid Flow

9.2     Measuring the Volume of a Fluid in Flow

9.3     Measuring Flow Rate

9.4     Calculating Flow Rate

9.5     Fluid Pumps

9.5.1   Piston Pumps

9.5.2   Centrifugal Pump

9.5.3   Gear Pump

9.6     Pump Power

9.6.1   Pressure in a Moving Fluid and Bernoulli’s Principle

9.7     Carburetor

9.8     Power Generation

9.8.1   Wind Power

9.8.2   Hydroelectric Power

9.9     Chapter Summary

Chapter 10 Temperature and Heat

10.1   Temperature Scales

10.2   Measuring Temperature

10.2.1   Glass Thermometer

10.2.2   Thermocouple

10.2.3   Thermistor

10.2.4   Bimetal Strip

10.2.5   Optical Pyrometer

10.3   Heat

10.4   Heat Transfer

10.4.1   Conduction

10.5   Thermal Insulation

10.6   Convection

10.6.1   Automobile Engine Cooling

10.6.2   Home Heating

10.6.3   Solar Water Heater

10.7   Radiation

10.7.1   Stephan–Boltzmann Law

10.7.2   Global Warming

10.8   Controlling Temperature

10.9   Specific Heat Capacity

10.10 Changing the State of a Substance

10.10.1   Melting and Freezing

10.10.2   Latent Heat of Fusion

10.10.3   Boiling and Condensing

10.10.4   Latent Heat of Vaporization

10.10.5   Pressure and the State of a Material

10.10.6   Pressure Cooker

10.11 Chapter Summary

10.11.1   Specific Heat Capacity

Chapter 11 Thermodynamics: Heat Engines, Heat Pumps, and Thermal Expansion

11.1   Heat Engines

11.1.1   Fuels

11.1.2   Gas Mileage

11.1.3   Laws of Thermodynamics

11.1.4   Efficiency

11.1.5   External Combustion Engine

11.1.6   Internal Combustion Engine

11.1.7   The Efficiency of a Human Being

11.1.8   Artificial Leaf

11.2   Heat Pumps

11.2.1   Refrigeration Cycle

11.3   Thermal Expansion of Gases, Liquids, and Solids

11.3.1   Linear Expansion

11.3.2   Area and Volume Expansion

11.3.3   Bimetal Strip Thermostat

11.3.4   Nitinol Wire

11.4   Chapter Summary

Chapter 12 Electric Force

12.1   Charge

12.2   The Electric Field

12.3   The Electric Field of a Point Charge

12.4   Work and the Electric Field

12.5   Generating an Electric Field

12.5.1   Electrical Potential Energy and Voltage

12.6   Electric Field and Voltage

12.6.1   Armed and Dangerous, Building an Electron Gun

12.7   Capacitance

12.7.1   Energy Storage

12.7.2   Don’t Be Shocked by the Following

12.7.3   Van de Graaff Generator

12.7.4   Catching a Lightning Bolt (Don’t Try This at Home!)

12.8   Chapter Summary

Chapter 13 Electricity

13.1   Batteries

13.2   Voltage

13.3   Current

13.3.1   AC versus DC

13.4   Resistance

13.4.1    Resistors

13.5   Schematic Symbols

13.6   Circuit

13.7   Ohm’s Law

13.8   Series Circuits

13.8.1   Batteries in Series

13.9   Parallel Circuits

13.10 Power

13.10.1   Electrical Energy

13.10.2   Energy Cost

13.11 Batteries and Amp-Hour Rating

13.11.1   Amp-Hour Rating and Batteries in Serial and Parallel

13.11.1.1   Batteries in Series

13.11.1.2   Batteries in Parallel

13.12 Chapter Summary

Chapter 14 Magnetism

14.1   Electromagnets

14.1.1   Applications of Electromagnets

14.1.1.1 Electromagnet Crane

14.1.1.2 Relay

14.1.1.3 Solenoid Actuator

14.1.1.4 Speaker

14.1.1.5 Superconducting Magnets

14.1.1.6 Magnetically Levitated Trains

14.2   Earth’s Magnetic Field

14.2.1   Compass

14.2.2   Magnetic Field of a Current Carrying Wire

14.3   Magnetic Field Inside a Coil

14.4   Electromagnetic Induction

14.5   An Electrical Generator

14.5.1   Alternators

14.6   Motors

14.6.1   DC Motors

14.6.2   AC Motors

14.7   Electric Meters

14.8   Magnetic Memory

14.8.1   Hard Disks

14.8.2   Inductors

14.9   Transformers

14.10 Inductive Heating

14.11 Magnetic Resonance Imaging

14.12 Measuring Magnetic Fields

14.12.1   Hall Probe

14.12.2   Metal Detectors

14.13   Chapter Summary

Chapter 15 Waves

15.1   Velocity, Frequency, and Wavelength

15.2   Wave Types

15.2.1   Transverse Waves

15.2.2   Longitudinal Waves

15.3   General Wave Properties

15.3.1   Refraction

15.3.2   Superposition

15.3.3   Constructive Interference

15.3.4   Destructive Interference

15.3.5   Tone

15.3.6   Resonance

15.3.7   Diffraction

15.4   Distance and Velocity Measurements with Waves

15.4.1   Radar, Lidar, and Sonar

15.4.2   Doppler Shift

15.5   Sound Waves

15.5.1   Speed of Sound

15.5.2   Pitch

15.5.3   Ultrasound Imaging

15.5.4   Ultrasonic Tape Measure

15.5.5   Ultrasonic Cleaning

15.5.6   Sound Pressure

15.5.7   Sound Intensity

15.5.8   Sound Intensity Level

15.5.9   Microphones

15.5.10   Gravitational Waves

15.6   Chapter Summary

15.6.1   Sound Intensity Level

Chapter 16 Light

16.1   Electromagnetic Waves

16.2   The Visible Spectrum

16.2.1   White Light

16.2.2   Colors

16.2.3   Infrared

16.2.4   Ultraviolet

16.3   Generation of Electromagnetic Waves

16.3.1   Radio Waves

16.3.2   Microwaves

16.4   Light

16.4.1   Lasers

16.5   The Speed of Electromagnetic Waves

16.5.1   Speed, Frequency, and Wavelength

16.6   Optics

16.6.1   Opacity

16.6.2   Reflection of Light

16.6.3   Spherical Mirrors

16.6.4   Focal Point

16.6.5   Parabolic Mirror

16.6.6   Corner Reflector

16.7   Diffraction and Refraction of Light

16.8   Lenses

16.8.1   Thin Lens Equation

16.8.2   Magnification

16.8.3   f-number

16.8.4   Compound Lenses

16.8.5   Aberration

16.8.6   Dispersion

16.9   Intensity and Illumination

16.9.1   Luminous Intensity

16.9.2   Illumination

16.10 Optical Devices

16.10.1   Optical Storage

16.10.2   Photodiodes, Resistors, and Transistors

16.10.3   Charge-Coupled Device

16.10.4   Fiber Optics

16.10.5   Solar Energy

16.11 Light Scattering

16.12 Chapter Summary

16.12.1   Thin Lens Equation

16.12.2   Magnification

Chapter 17 Data Acquisition-Sensors and Microcontrollers

17.1   Resistive Sensors

17.1.1   Measuring Resistive Sensors

17.1.2   Humidity Sensor

17.1.3   Photoresistors

17.2   Calibration and Data Fitting

17.3   Excel

17.3.1   Comparing Theory and Experiment with Data Fitting

17.3.2   Excel’s Solver Function

17.3.3   Starting Solver

17.4   Sensors that Output Voltage

17.4.1   LM35

17.4.2   Thermocouple

17.5   Measuring Magnetic Fields

17.5.1   Hall Probe

17.6   Microcontrollers and Data Acquisition

17.6.1   The Arduino Uno Microcontroller

17.6.2   Analog Sensors and Analog to Digital Conversion

17.6.3   Digital Sensors

17.6.4   Sampling Data at a Fixed Rate

17.7   The NodeMcu Microcontroller

17.8   Summary

17.8.1   Lab Ideas

Chapter 18 Smartphones and Physics

18.1   phyphox

18.2   Using phyphox

18.3   Measuring Acceleration and Angular Velocity

18.4   LAB 1: Measuring g

18.4.1   Theory

18.4.2   Procedure

18.5   LAB 2: Measuring Velocity

18.5.1   Theory

18.5.2   Procedure

18.6   LAB 3: Measuring g Using a Pendulum and a Smartphone’s Gyroscope

18.6.1   Theory

18.6.2   Procedure

18.7   LAB 4: Measure the Velocity of an Elevator and Height between Floors

18.7.1   Theory

18.7.2   Procedure

18.8   LAB 5: Measure the Period of Oscillation of a Spring or Rubber Band

18.8.1   Theory

18.8.2   Procedure

18.9   LAB 6: Measure Centripetal Acceleration of a Rotating Phone

18.9.1   Theory

18.9.2   Procedure

18.10 LAB 7: Rolling Velocity

18.10.1   Theory

18.10.2   Procedure

18.11 LAB 8: Inelastic Collisions

18.11.1   Theory

18.11.2   Procedure

18.12 Motion Analysis Using Tracker

18.13 Summary

Appendix A: Trigonometry Review

A.1   Pythagorean Theorem and Right Triangles

A.2   Determining Sides and Angles

A.3   Sin(θ), Cos(θ), Tan(θ)

A.4   Problem Solving Tips

Appendix B: Supplementary Lab Experiments

B.1   Measuring Length

B.1.1   Procedure

B.2   Measuring Time

B.2.1   Procedure

B.3   Measuring g

B.3.1   Procedure

B.4   Measuring Force

B.4.1   Procedure

B.5   Measuring Power

B.5.1   Procedure

B.6   Measuring Angular Velocity

B.6.1   Procedure

B.7   Machines

B.7.1   Procedure

B.8   Measuring Temperature

B.8.1   Procedure

B.9   Measuring Light

B.9.1   Procedure

B.10 Direct Current Motors

B.10.1 Procedure

B.10.2 Questions

Appendix C: Unit Conversions

Appendix D: Answers to Odd Numbered Back of the Chapter Problems

Index

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