List of Physics Mechanics Formulas, Equations Latex Code

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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
• 1.2 Average Acceleration
• 1.3 Bulk modulus
• 1.4 Centripetal acceleration
• 1.5 Compressibility
• 1.6 Continuity equation
• 1.7 Displacement
• 1.8 Hydraulic lift
• 1.9 Instantaneous Acceleration
• 1.10 Newton's Second Law (Force)
• 1.11 Shear modulus
• 1.12 Simple harmonic motion acceleration
• 1.13 Speed of sound waves in a fluid
• 1.14 Stress
• 1.15 Velocity
• 1.16 Viscous Flow
• 1.17 Young's modulus

1. Mechanics

• 1.1 Angular Momentum

  Equation

  
  
  

  Latex Code

              M = I\omega
          

  Explanation

  
  

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• 1.2 Average Acceleration

  Equation

  
  
  

  Latex Code

              a_{av} = \frac{{\Delta \upsilon }}{{\Delta t}}
          

  Explanation

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• 1.3 Bulk modulus defined

  Equation

  
  
  

  Latex Code

              B = - \frac{P}{{\Delta V}/V}
          

  Explanation

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• 1.4 Centripetal acceleration

  Equation

  
  
  

  Latex Code

              a=\frac{v^{2}}{r}
          

  Explanation

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• 1.5 Compressibility

  Equation

  
  
  

  Latex Code

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

  Explanation

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• 1.5 Compressibility

  Equation

  
  
  

  Latex Code

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

  Explanation

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• 1.6 Continuity equation

  Equation

  
  
  

  Latex Code

              I_{V} = \upsilon A
          

  Explanation

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• 1.7 Displacement

  Equation

  
  
  

  Latex Code

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

  Explanation

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• 1.8 Hydraulic lift

  Equation

  
  
  

  Latex Code

              F_2 = \frac{{F_1 }}{{A_1 }}A_2 = \frac{{A_2 }}{{A_1 }}F_1
          

  Explanation

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• 1.9 Instantaneous Acceleration

  Equation

  
  
  

  Latex Code

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

  Explanation

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• 1.10 Newton's Second Law (Force)

  Equation

  
  
  

  Latex Code

              F = ma
          

  Explanation

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• 1.11 Shear modulus

  Equation

  
  
  

  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}
          

  Explanation

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• 1.12 Simple harmonic motion acceleration

  Equation

  
  
  

  Latex Code

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

  Explanation

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• 1.13 Speed of sound waves in a fluid

  Equation

  
  
  

  Latex Code

              \upsilon = \sqrt {\frac{B}{\rho }}
          

  Explanation

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• 1.14 Stress

  Equation

  
  
  

  Latex Code

              {\text{Stress}} = \frac{F}{A}
          

  Explanation

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• 1.15 Velocity

  Equation

  
  
  

  Latex Code

              \upsilon = \upsilon _0 + at
          

  Explanation

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• 1.16 Viscous Flow

  Equation

  
  
  

  Latex Code

              F = \eta \frac{{\upsilon A}}{z}
          

  Explanation

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• 1.17 Young's modulus

  Equation

  
  
  

  Latex Code

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

  Explanation

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