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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
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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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