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Classical Mechanics Glossary

Absolute Vacuum - Contains no matter and can not be achieved. Acceleration - The rate of change of velocity. Whenever a mass experiences a force, an acceleration is acting. Acceleration due to Gravity - The force on an object caused only by gravity....

Mass

Mass Formula $ m \;=\; \rho \cdot V $ (Mass) $ \rho \;=\; \dfrac{ m }{ V } $ $ V \;=\; \dfrac{ m }{ \rho } $ Symbol English Metric $ m $ = Mass $lbm$ $kg$ $ \rho $ (Greek symbol rho) = Density $lbm \;/\; ft^3$ $kg \;/\; m^3$ $ V $ =...

Relativistic Mass

Relativistic Mass Formula $ m_r \;=\; \dfrac{ m }{ \sqrt{ \dfrac{ 1 - v^2 }{ c^2 } } }$ Symbol English Metric $ m_r $ = Relativistic Mass $ lbm$ $ kg$ $ m $ = Rest mass $ lbm$ $ kg$ $ v $ = Velocity $ft\;/\;sec$ $m\;/\;s$ $ c $ =...

Formula Symbols - M

safety dimensionless dimensionless dimensionless - $M$ - Markstein number dimensionless dimensionless dimensionless - $m$ - mass $lbm$ $kg$ $kg$ - $M$ - mass scale - - - - $\mu_m$ mu mass attenuation coefficient - - - - $\dot {m}_c$ - mass condensation...

Law of Conservation

over time. The law of conservation is based on the principle of conservation of physical quantities. While energy and mass can change forms or be transferred, their total sum remains constant in an isolated system. This principle is rooted in the...

Mass Flow Rate

Mass Flow Rate Formula $ \dot m_f \;=\; \rho \cdot v \cdot A_c $ (Mass Flow Rate) $ \rho \;=\; \dfrac{ \dot m_f }{ v \cdot A_c }$ $ v \;=\; \dfrac{ \dot m_f }{ \rho \cdot A_c }$ $ A_c \;=\; \dfrac{ \dot m_f }{ \rho \cdot v }$ Symbol English...

Center of Mass

Center of Mass for Two Masses Formula $ x_{cm} \;=\; \dfrac{m_1 \cdot x_1 + m_2 \cdot x_2}{m_1 + m_2} $ (Two Masses) $ x_{cm} \;=\; \dfrac{m_1 \cdot x_1 + m_2 \cdot x_2 + \cdots }{ m_1 + m_2 + \cdots }$ (Multiple Masses) Symbol English Metric \(...

Mass Moment of Inertia

Mass Moment of Inertia Formula $ I \;=\; k \cdot m \cdot \bar r^2 $ (Mass Moment of Inertia) $ k \;=\; \dfrac{ I }{ m \cdot \bar r^2 } $ $ m \;=\; \dfrac{ I }{ k \cdot \bar r^2 } $ $ \bar r \;=\; \sqrt{ \dfrac{ I }{ k \cdot m } }$ Symbol...

Mass Transfer Coefficient

Mass Transfer Coefficient Formula $ K \;=\; \dfrac{ \dot {m}_t }{ A \cdot \Delta F_c }$ (Mass Transfer Coefficient) $ \dot {m}_t \;=\; K \cdot A \cdot \Delta F_c $ $ A \;=\; \dfrac{ \dot {m}_t \cdot \Delta F_c }{ K }$ \( \Delta F_c \;=\; \dfrac{...

Atomic Mass

Atomic Mass Formula $ u \;= \; p + n $ (Atomic Mass) $ p \;=\; u - n $ $ n \;=\; u - p $ Symbol English Metric $ u $ = Atomic Mass $ amu $ $ amu $ $ p $ = Number of Protons $ dimensionless $ $ dimensionless $ $ n $ = Number of...

Buoyancy Mass

Buoyancy Mass Formula $ m_b \;=\; m_o \cdot \left( 1 - \dfrac{\rho_f }{ \rho_o} \right) $ (Buoyancy Mass) $ m_o \;=\; \dfrac{ m_b }{ 1 - \dfrac{ \rho_f }{ \rho_o } } $ $ \rho_f \;=\; - \rho_o \cdot \dfrac{ m_b }{ m_o } - 1 $ \( \rho_o \;=\;...

Molar Mass of Gas

Molar Mass of Gas Formula $ M \;=\; V \cdot 0.0821 \cdot \dfrac{ G }{ T } \cdot p $ (Molar Mass of Gas) $ V \;=\; \dfrac{ M \cdot T }{ 0.0821 \cdot G \cdot p } $ $ G \;=\; \dfrac{ M \cdot T }{ 0.0821 \cdot V \cdot p } $ \( T \;=\; \dfrac{ 0.0821...

Law of Conservation of Mass

Law of Conservation of Mass Formula $ \left( \dfrac{ \partial \rho }{ \partial t } \right) + (\; \nabla \cdot ( \rho \cdot v) \;) \;=\; 0 $ Symbol English Metric $ \partial $ = Infinitesimal Change - - $ \rho $ (Greek symbol rho) = Density...

Moment of Inertia of a Mass

Moment of Inertia of a Mass Formula, Single Mass $ I \;=\; m \cdot r^2 $ Symbol English Metric $ I $ = Moment of Inertia $lbm\;/\;ft^2-sec$ $kg\;/\;m^2$ $ m $ = Mass $lbm$ $kg$ $ r $ = Radius $ft$ $m$ Moment of inertia of a mass,...

Planck Mass

Planck Mass Formula $ m_p \;=\; \sqrt{ \dfrac{ h \cdot c }{ G } } $ (Plank Mass) $ h \;=\; m_p^2 \cdot \dfrac{ G }{ c } $ $ c \;=\; \dfrac{ m_p^2 \cdot G }{ h } $ $ G \;=\; \dfrac{ h \cdot c }{ m_p^2 } $ Symbol English Metric $ m_p $ = Planck...

Atomic Mass Unit

Atomic Mass Unit Conversion Multiply By To Get 1 atomic mass unit, amu 1.66054E-22 centigram 1.66054E-23 decigram 1.66054E-25 dekagram 1.66054E-33 gigagram, Gg 1.66054E-24 gram, g 1.66054E-27 kilogram, kg 1.66054E-30 megagram, Mg 1.66054E-18 microgram...

Internal Mass

Internal mass is the mass contained within a specific object or system. It represents the total amount of matter present within the boundaries of that object or system. Internal mass is also the mass of an object measured by its resistance to...

Vapor Mass Velocity of Tray Type Tower

Vapor Mass Velocity of Tray Type Tower Formula $ w \;=\; 3600 \cdot k_g \cdot [\; ( \rho_l - \rho_g) \cdot \rho_g \;] ^{0.5} $ Symbol English Metric $ w $ = Vapor Mass Velocity of Tray Type Tower $lbm\;/\;ft^2-h$ - $ k_g $ = Sizing Constant...

Molar Mass

Molar mass, abbreviated as M, (English unit $\large{\frac{lbm}{mol}}$ or $\large{\frac{oz}{mol}}$) and (Metric unit $\large{\frac{kg}{mol}}$ or $\large{\frac{g}{mol}}$), is a physical property of a chemical substance that represents the mass of...

Continuity Equation for Mass

Continuity Equation for Mass Formula This formula states that the mass entering a system is equal to the mass leaves the system both at the same rate. $ A_1 \cdot v_1 \;=\; A_2 \cdot v_2 $ (Continuity Equation for Mass) \( A_1 \;=\; \dfrac{ A_2 \cdot...

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