Mechanical Engineering Basic Formulae

Time period of a Pendulum

$T=2\pi \sqrt{\frac{L}{g}}$

Power

$Power = \frac{Work}{Time}=\frac{Force\: \times Distance}{Time}$

Frictional Force

$F_{friction}=\mu \: \times \: F_{normal}$

Bernoulli's Equation

$E_{pressure}\:+\:E_{kinetic}\:+\:E_{potential}=constant$

$P_{1}\: +\: \frac{1}{2}\rho v_{1}^{2}\: +\: \rho gh_{1}\: = \: P_{2}\: +\: \frac{1}{2}\rho v_{2}^{2}\: +\: \rho gh_{2}$

$\frac{P_{1}}{\rho g}\: +\: \frac{v_{1}^{2}}{2g}\: +\: h_{1}\: = \: \frac{P_{2}}{\rho g}\: +\: \frac{v_{2}^{2}}{2g}\: +\: h_{2}$

Principal Stresses

$\sigma _{1\, ,\, 2}\: =\: \frac{\sigma _{x}\: +\: \sigma _{y}}{2}\: \pm \, \sqrt{\left ( \frac{\sigma _{x}\: -\: \sigma _{y}}{2} \right )^{2}\: +\: \tau _{xy}^{2}}$

Velocity Potential function

$\mathbf{Velocity \, Potential\, function \: (\phi ) \Rightarrow u=\frac{\partial \phi }{\partial x} \: \: \&\:\: v=\frac{\partial \phi }{\partial y}}$

Stream function

$\mathbf{Stream\, function \: (\psi ) \Rightarrow u=\frac{\partial \psi }{\partial y} \: \: \&\:\: v=\frac{-\, \partial \psi }{\partial x}}$

Least Count of Vernier Scale

$\boldsymbol{Least \: Count\: of \: Vernier \: Scale = \frac{One \: Main \: Scale \: Division \: Value}{Total \: number\: of\: Vernier\: Scale \: Divisions}=\frac{1\: mm}{10}=0.1\: mm \: \textit{or}\:\: 0.01 \: cm}$

Least Count of Micro Meter (Screw Gauge)

$\boldsymbol{Least \: Count\: of \: Micro\: meter = \frac{One \: Main \: Scale \: Division \: Value}{Total \: number\: of\: Circular\: Scale \: Divisions}=\frac{1\: mm}{100}=0.01\: mm \: \textit{or}\:\: 0.001 \: cm}$

20 டிசம்பர், 2018

Mechanical Engineering Basic Formulae

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