Инженерия

$Q = A v$

$A_1 v_1 = A_2 v_2 = Q$

$v = \frac{Q}{A}$

$h_p = \frac{p}{\rho g}$

$\frac{p_1}{\rho g} + \frac{v_1^2}{2g} + z_1 = \frac{p_2}{\rho g} + \frac{v_2^2}{2g} + z_2$

$Re = \frac{\rho v D_h}{\mu} = \frac{v D_h}{\nu}$

$D_h = \frac{4A}{P_w}$

$h_f = f\frac{L}{D_h}\frac{v^2}{2g}$

$P = \frac{\rho g Q H}{\eta}$

$\Delta x = |x_{\text{изм}}-x_{\text{ref}}|$

$\delta = \frac{\Delta x}{|x_{\text{ref}}|}\cdot 100\%$

$\gamma = \frac{\Delta x_{\max}}{X_N}\cdot 100\%$

$\bar{x}=\frac{1}{n}\sum_{i=1}^{n}x_i$

$s=\sqrt{\frac{\sum_{i=1}^{n}(x_i-\bar{x})^2}{n-1}}$

$u_A(\bar{x})=\frac{s}{\sqrt{n}}$

$U=k\,u_c$

$u_y=\sqrt{u_a^2+u_b^2},\quad y=a\pm b$

$\frac{u_y}{|y|}=\sqrt{\left(\frac{u_a}{a}\right)^2+\left(\frac{u_b}{b}\right)^2},\quad y=a\,b\ \text{или}\ y=\frac{a}{b}$

$T=D_{\max}-D_{\min}=ES-EI$

$\sum F_x = 0,\; \sum F_y = 0$

$\sum M_O = 0$

$M = F \cdot d = \mathbf{r} \times \mathbf{F}$

$\sigma = \frac{F}{A}$

$\varepsilon = \frac{\Delta L}{L_0}$

$\Delta L = \frac{F L_0}{A E}$

$E = \frac{\sigma}{\varepsilon}$

$n = \frac{\sigma_{\text{доп}}}{\sigma_{\text{раб}}}$

$\tau = \frac{V}{A}$

$F_{\text{экв}} = qL,\quad x_{\text{cp}} = x_A + \frac{L}{2}$

$q=-\lambda A\frac{dT}{dx}$

$q=hA(T_s-T_\infty)$

$Nu=\frac{hL}{\lambda}$

$\lambda=\frac{r}{T}$

$R(t)=e^{-\lambda t}$

$Re=\frac{\rho vD}{\mu}$

$Q=vA$

$P=\rho gQH$

$Q=\lambda A\frac{\Delta T}{\delta}$

$\alpha=\frac{Q}{A\Delta T}$

$\Delta T_{lm}=\frac{\Delta T_1-\Delta T_2}{\ln(\Delta T_1/\Delta T_2)}$

$\Delta L=\alpha L_0\Delta T$

$\sigma=\frac{F}{A}$

$\varepsilon=\frac{\Delta L}{L_0}$

$\Delta L=\frac{FL}{EA}$

$\sigma=\frac{M y}{I}$