Length
Length (also called distance) is the dimension from one point to another point or the dimension from one end to the other end of an object.
length formulas
\(\large{ \Delta l = l_f - l_i }\) | |
\(\large{ l = \frac {\pi\; r\;\theta}{180} }\) | (angular deflection) |
\(\large{ l = \frac { 2 \; h_l \; d_p \; g } { f_d \; v^2 } }\) | (Darcy-Weisbach equation) |
\(\large{ l = \frac { h_1 \;-\; h_2} { i} }\) | (hydraulic gradient) |
\(\large{ l = \frac{ \lambda }{ Kn } }\) | (Knudsen number) |
\(\large{ l = k_t \; \frac{\Delta T}{\dot {Q}_t} }\) | (linear thermal expansion coefficient) |
\(\large{ l = \frac {M}{F} }\) | (moment) |
\(\large{ l_s = \sqrt{ \frac{ 2 \; PE_s }{ k_s } } }\) | (spring potential energy) |
\(\large{ \Delta l = \epsilon \; l_i }\) | (strain) |
Where:
\(\large{ l }\) = length
\(\large{ \theta }\) (Greek symbol theta) = angular deflection
\(\large{ f_d }\) = Darcy friction factor
\(\large{ F }\) = force
\(\large{ g }\) = gravitational acceleration
\(\large{ h_l }\) = head loss
\(\large{ \dot {Q}_t }\) = heat transfer rate
\(\large{ i }\) = hydraulic gradient
\(\large{ Kn }\) = Knudsen number
\(\large{ \Delta l }\) = length differential
\(\large{ l_f }\) = final length
\(\large{ l_i }\) = initial length
\(\large{ r }\) = minimum centerline bend radius for constant flexing
\(\large{ v }\) = mean flow velocity
\(\large{ \lambda }\) (Greek symbol lambda) = mean free path
\(\large{ M }\) = moment
\(\large{ \pi }\) = Pi
\(\large{ d_p }\) = inside diameter of pipe
\(\large{ h_1 }\) = pressure head at point 1
\(\large{ h_2 }\) = pressure head at point 2
\(\large{ k_s }\) = spring force constant
\(\large{ PE_s }\) = spring potential energy
\(\large{ \epsilon }\) (Greek symbol epsilon) = strain
\(\large{ \Delta T }\) = temperature differential
\(\large{ k_t }\) = thermal conductivity constant