## List of Physics Mechanics Formulas, Equations Latex Code

rockingdingo 2023-03-20 #physics #mechanics 1 0

List of Physics Mechanics Formulas, Equations Latex Code

In this blog, we will introduce most popuplar formulas in Mechanics, Physics. We will also provide latex code of the equations. Topics include velocity, stress, speed of sound, newton second law(force), shear_modulus, angular momentum, centripetal acceleration, continuity equation, displacement , Hydraulic Lift, Speed of sound waves in a fluid, etc.

### 1. Mechanics

• #### 1.1 Angular Momentum

##### Latex Code
            M = I\omega


• #### 1.2 Average Acceleration

##### Latex Code
            a_{av} = \frac{{\Delta \upsilon }}{{\Delta t}}


• #### 1.3 Bulk modulus defined

##### Latex Code
            B = - \frac{P}{{\Delta V}/V}


• #### 1.4 Centripetal acceleration

##### Latex Code
            a=\frac{v^{2}}{r}


• #### 1.5 Compressibility

##### Latex Code
            k = \frac{1}{B} = - \frac{{\Delta V}/V}{P}


• #### 1.5 Compressibility

##### Latex Code
            k = \frac{1}{B} = - \frac{{\Delta V}/V}{P}


• #### 1.6 Continuity equation

##### Latex Code
            I_{V} = \upsilon A


• #### 1.7 Displacement

##### Latex Code
            {\Delta x}=x-x_{0}=v_{0}t+\frac{1}{2}at^{2}


• #### 1.8 Hydraulic lift

##### Latex Code
            F_2 = \frac{{F_1 }}{{A_1 }}A_2 = \frac{{A_2 }}{{A_1 }}F_1


• #### 1.9 Instantaneous Acceleration

##### Latex Code
            a = \frac{{d\upsilon }}{{dt}} = \frac{{d^2 x}}{{dt^2 }}


• #### 1.10 Newton's Second Law (Force)

##### Latex Code
            F = ma


• #### 1.11 Shear modulus

##### Latex Code
            M_{s} = \frac{F_{s} / A}{ {\Delta x} /L}=\frac{F_{s}/A}{\tan \theta}M_{s} = \frac{F_{s}/A}{\Delta x/L} = \frac{F_{s}/A}{\tan \theta}


• #### 1.12 Simple harmonic motion acceleration

##### Latex Code
            a = - \omega ^2 x = - \omega ^2 r\sin (\omega t)


• #### 1.13 Speed of sound waves in a fluid

##### Latex Code
            \upsilon = \sqrt {\frac{B}{\rho }}


• #### 1.14 Stress

##### Latex Code
            {\text{Stress}} = \frac{F}{A}


• #### 1.15 Velocity

##### Latex Code
            \upsilon = \upsilon _0 + at


• #### 1.16 Viscous Flow

##### Latex Code
            F = \eta \frac{{\upsilon A}}{z}


• #### 1.17 Young's modulus

##### Latex Code
            \Upsilon = \frac{F/A}{\Delta L/L} =\frac{\text{Stress}}{\text{Strain}}