Classical Mechanics

classical mechanics banner 3 Classical mechanics is a branch of physics that deals with the motion of bodies in accordance with the general principles by Isaac Newton's laws of mechanics. Classical mechanics describes the motion of objects larger than a molecule and smaller than a planet, close to room temperature and going at speeds significantly slower than the speed of light. Classical mechanics gives accurate results as long as it is limited to large objects and the speeds less than the speed of light.

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$\epsilon$ (Greek symbol epsilon) - Absolute Roughness
$a$ - Acceleration
$a$ - Acceleration from Force
$F_a$ - Air Resistance
$\alpha$ (Greek symbol alpha) - Angular Acceleration
$ \theta $ (Greek symbol theta) - Angular Deflection
$ \theta $ (Greek symbol theta) - Angular Displacement
$L$ - Angular Momentum
$\omega$ (Greek symbol omega) - Angular Velocity
$\omega$ (Greek symbol omega) - Angular Velocity of a Rolling Sphere
$F_a$ - Applied Force
$p_a$ - Atmospheric Pressure
$ \bar {a} $ - Average Acceleration
$\bar {\alpha}$ (Greek symbol alpha) - Average Angular Acceleration
$\bar {\omega} $ (Greek symbol omega) - Average Angular Velocity Change in Velocity
$ \bar {v} $ - Average Velovity Change in Velovity
$P$ - axial force
$k$ - Axial Stiffness
$\tau$ (Greek symbol tau) - Beam Shear Stress
$BHN$ - Brinell Hardness Number
$a_c$ - Centripetal Acceleration
$\Delta L$ - Change in Angular Momentum
$l_c$ - Characteristic Length
$U$ - Characteristic Velocity
$v_c$ - Circular Velocity
$\tau$ (Greek symbol tau) - Column Buckling Stress
$a_c$ - Constant Acceleration
$\omega$ (Greek symbol omega) - Constant Angular Acceleration
$\sigma$ (Greek symbol sigma) - cylinder axial stress
$\sigma$ (Greek symbol sigma) - cylinder hoop stress
$d$ - deceleration
$DEF$ - deflection
$ \delta$ (Greek symbol delta) - deformation
$ \rho$ (Greek symbol rho) - density
$ \rho$ (Greek symbol rho) - density of an ideal gas
$\Delta$ - differential
$ \sigma $ (Greek symbol sigma) - direct stress
$d$ - displacement
$P$ - displacement power
$f_o$ - Doppler Effect
$\eta$ (Greek symbol eta) - efficiency
$\lambda$ (Greek symbol lambda) - elastic modulus
$E_c$ - elastic modulus of concrete
$E$ - elasticity
$E$ - elongation
$E_p$ - elongation percentage
$E$ - energy
$v_e$ - escape velocity
$l_f$ - final length
$v_f$ - final velocity
$Q$ - first moment of area
$F$ - force
$f$ - friction
$\mu$ - friction coefficient
$$F L$$ - friction loss
$g$ - gravitational acceleration
$F$ - gravitational force
$g$ - gravity
$I$ - impulse
$l_i$ - initial length
$v_i$ - initial velocity
$a_i$ - instantaneous acceleration
$a_i$ - instantaneous angular acceleration
$v_i$ - instantaneous velocity
$\nu$ (Greek symbol nu) - kinematic viscosity
$v_0$ - launch velocity of a projectile
$l$ - length
$\Delta l$ - length differential
$LIQ$ - liquid
$\sigma$ (Greek symbol sigma) - longitudinal stress
$m$ - mass
$D$ - mass diffusivity
$\dot m_f$ - mass flow rate
$K$ - mass Transfer Coefficient
$h_{max}$ - maximum height of a projectile
$\lambda$ (Greek symbol lambda) - mean free path
$ME$ - mechanical energy
$M$ - molar mass
$M$ - molar mass of gas
$M$ - molarity
$M$ - moment
$I$ - moment of inertia
$p$ - momentum
$\Delta p$ - momentum differential
$n$ - number density
$\eta_0$ (Greek symbol eta) - overall efficiency
$\mu$ (Greek symbol mu) - Poisson's ratio
$PE$ - potential energy
$P$ - power
$p$ - pressure
$\Delta p$ - pressure differential
$k$ - radius of gyration
$a_c$ - rate of change in acceleration
$v_c$ - rate of change in velocity
$m_r$ - relativistic mass
$ \mu $ (Greek symbol mu) - resilience modulus
$\tau$ (Greek symbol tau) - rotational force
$\theta$ (Greek symbol theta) - rotational motion
$k$ - rotational stiffness
$W_r$ - rotational work
$I$ - second moment of area
$V$ - shear force
$G$ - shear modulus
$\gamma$ (Greek symbol gamma) - shear strain
$\tau$ (Greek symbol tau) - shear stress
$SG$ - specific gravity
$SG_g$ - specific gravity of gas
$SG_s$ - specific gravity of soil
$\upsilon$ (Greek symbol upsilon) - specific volume
$\gamma$ (Greek symbol gamma) - specific weight
$s$ - speed
$c$ - speed of light
$a$ - speed of sound
$p_s$ - stagnation pressure
$SE$ - static efficiency
$f_s$ - static friction
$SP$ - static pressure
$k$ - stiffness
$d$ - stopping distance
$\epsilon$ (Greek symbol epsilon) - strain
$U$ - strain energy
$\sigma$ (Greek symbol sigma) - stress
$\pi$ - surface pressure
$\sigma$ (Greek symbol sigma) - surface tension
$a_t$ - tangential acceleration
$v_t$ - tangential velocity
$T$ - tension
$v_t$ - terminal velocity
$t$ - test time
$\sigma_t$ (Greek symbol sigma) - thermal stress
$F$ - thrust
$t$ - time
$\Delta T$ - time differential
$\tau$ (Greek symbol tau) - torque
$T_s$ - torque speed
$T$ - torsion
$J$ - torsion constant
$W_t$ - total work
$UTS$ - ultimate tensile strength
$VAC$ - vacuum
$G_vd$ - vapor Density of Gas
$v$ - velocity
$\Delta v$ - velocity differential
$\nu$ (Greek symbol nu) - velocity gradient
$W$ - weight
$W_{\rho}$ - weight density
$T_{wc}$ - wind chill factor
$E$ - wind energy
$W$ - work
$W_{net}$ - work-energy principle
$WPR$ - working pressure

Nomenclature, Symbols, and Units

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