Vukota Boljanovic

Applied Mathematical and Physical Formulas Pocket Reference


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book covers the International System of Units (the SI base units, the SI derived units, the SI prefixes, and units outside the SI that are accepted for use with the SI); metric units of measurement; U.S. units of measurements; and tables of equivalent metric and United States Customary System (USCS) units.

      The second part of the book covers formulas, rules, and figures related to Algebra, Geometry, Trigonometry, Analytical Geometry, Mathematics of Finance, Calculus, and Statistics.

      The third part of the book covers formulas, definitions, and figures related to Mechanics, Fluid Mechanics, Temperature and Heat, Electricity and Magnetism, Light, and Waves and Sound.

      Students and professionals alike will find this book a very effective learning tool and reference. I am grateful to my son Sasha for valuable contributions in the preparation of this book.

      Vukota Boljanovic

       UNITS

      Units are labels that are used to distinguish one type of measurable quantity from other types. Length, mass, and time are distinctly different physical quantities, and therefore have different unit names, such as meters, kilograms and seconds. We use several systems of units, including the metric (SI) units, the English (or US customary units), and a number of others, which are of mainly historical interest.

      This part of the book contains the following:

      1. International System of Units

      2. Metric Units of Measurement

      3. U.S. Units of Measurement

      4. Tables of Equivalents

      The International System of Units, abbreviated as SI, is the modernized version of the metric system established by international agreement.

Quantity Name Symbol
length meter m
mass kilogram kg
time second s
electric current ampere A
thermodynamic temperature kelvin K
amount of a substance mole mol
Quantity Name Symbol
area square meter m2
volume cubic meter m3
speed, velocity meter per second m/s
acceleration meter per second squared m/s2
wave number reciprocal meter m-1
mass density kilogram per cubic meter kg/m3
specific volume cubic meter per kilogram m3/kg
current density ampere per square meter A/m2
magnetic field strength ampere per meter A/m
amount-of-substance concentration mol per cubic meter mol/m3
luminance candela per square meter cd/m2
mass fraction kilogram per kilogram kg/kg
Quantity Name Symbol
plane angle radian rad
solid angle steradian sr
frequency hertz Hz
force newton N
pressure, stress pascal Pa
energy, work, quantity of heat joule J
power, radiant flux watt W
electric charge, quantity of electricity coulomb C
electric potential difference volt V
capacitance farad F
electric resistance ohm Ω
electric conductance siemens S
magnetic flux weber Wb
magnetic flux density tesla T
inductance henry H
Celsius temperature degree Celsius 0C
luminous flux lumen lm
illuminance lux lx