Unit and Measurements PDF
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This document describes the different units and formulas for various physical quantities in mathematics.
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Unit and Measurements +-------------+-------------+-------------+-------------+-------------+ | | | **Formula** | **Abbreviat | **Symbols** | | | | | ion** | | +=============+=============+=============+=============+====...
Unit and Measurements +-------------+-------------+-------------+-------------+-------------+ | | | **Formula** | **Abbreviat | **Symbols** | | | | | ion** | | +=============+=============+=============+=============+=============+ | 1. | Density | Mass/Volume | \ | | | | | | [\$\$\\frac | | | | | | {\\text{kg} | | | | | | }{m\^{3}}\$ | | | | | | \$]{.math | | | | | |.display}\ | | +-------------+-------------+-------------+-------------+-------------+ | 2. | Speed | Distance/Ti | \ | | | | | me | [\$\$\\frac | | | | | | {m}{s}\$\$] | | | | | | {.math | | | | | |.display}\ | | +-------------+-------------+-------------+-------------+-------------+ | 3. | Velocity | Displacemen | \ | | | | | t/Time | [\$\$\\frac | | | | | | {m}{s}\$\$] | | | | | | {.math | | | | | |.display}\ | | +-------------+-------------+-------------+-------------+-------------+ | 4. | Acceleratio | Change in | \ | | | | n | velocity | [\$\$\\frac | | | | | /Time | {m}{s\^{2}} | | | | | | \$\$]{.math | | | | | |.display}\ | | +-------------+-------------+-------------+-------------+-------------+ | 5. | Force | Mass \* | \ | \ | | | | Acceleratio | [\$\$\\text | [*Newton* ( | | | | n | {kg\\ | *N*)]{.math | | | | |.}\\frac{m} |.display}\ | | | | | {s\^{2}}\$\ | | | | | | $]{.math | | | | | |.display}\ | | +-------------+-------------+-------------+-------------+-------------+ | 6. | Pressure | Force / | \ | - [*Pasca | | | | Area | [N. | l* (*P*)]{. | | | | | *m*^2^]{.ma | math | | | | | th |.inline | | | | |.display}\ | } | | | | | | | | | | | | - [bar]{. | | | | | | math | | | | | |.inline | | | | | | } | +-------------+-------------+-------------+-------------+-------------+ | 7. | Momentum | Mass \* | \ | | | | | Velocity | [\$\$\\text | | | | | | {Kg\\ | | | | | |.}\\frac{m} | | | | | | {s}\$\$]{.m | | | | | | ath | | | | | |.display}\ | | +-------------+-------------+-------------+-------------+-------------+ | 8. | Work | Force \* | \ | - [Joule( | | | /Energy | Distance | [\$\$\\text | *J*)]{.math | | | | | {kg\\ |.inline | | | | |.}\\frac{m} | } | | | | | {s\^{2}}\\t | | | | | | ext{.\\ | - [erg | | | | | m}\$\$]{.ma | ]{.math | | | | | th |.inline | | | | |.display}\ | } | | | | | | | | | | | | - [Kcal]{ | | | | | |.math | | | | | |.inline | | | | | | } | +-------------+-------------+-------------+-------------+-------------+ | 9. | Power | Work/Time | \ | - [*Watt* | | | | | [\$\$\\frac | (*W*)]{.ma | | | | | {J}{s}\$\$] | th | | | | | {.math |.inline | | | | |.display}\ | } | | | | | | | | | | | | - [Kcal]{ | | | | | |.math | | | | | |.inline | | | | | | } | +-------------+-------------+-------------+-------------+-------------+ **Types of Physical Quantities** 1. Basic Quantity - Length - Mass - Time - Current - Temperature 2. Derived Quantity - Area - Volume - Density - Speed - Velocity - Acceleration - Force - Momentum - Work - Pressure - Power - Impulse of force - Frequency - Surface tension 3. Scalar Quantity - Current - Potential Difference - Temperature - Pressure - Speed - Distance - Density - Mass - Work - Power - Energy - Frequency - Electric flux 4. Vector Quantity - Displacement - Velocity - Force - Circulation - Momentum - Electric Force - Electric field - Impulse of Force - Area **Rules for writing Units** 1. If writing full name, all the letters should be in lowercase 2. If named after a person, first character should be capital 3. Should never be plural 4. No full stop after the unit's name 5. Quantity must always be in one ratio **SI Units** **Quantity** **SI Unit** -------------------- ------------- Length m Mass kg Time seconds Current A Temperature Kelvin Matter of mass mole Luminous intensity candela