Terminal Velocity

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

velocity terminalTerminal velocity, abbreviated as \(v_t\), is when an object is falling under the influence of gravity but with no other influences.

 

Formulas that use Terminal Velocity

\(\large{ v_t = \frac { g \;d^2\; \left( \rho_p \;-\; \rho_m \right) } {18\; \eta} }\)   
\(\large{ v_t =   \sqrt {  \frac {2 \;m \; g} {C_d \; \rho \; A}  }   }\)   
\(\large{ v_t =   \sqrt {  \frac {2 \; W}{C_d \; \rho \; A}  }   }\)   

Where:

\(\large{ v_t }\) = terminal velocity (maximum falling speed)

\(\large{ A }\) = area of object

\(\large{ \rho }\)   (Greek symbol rho) = density of fluid

\(\large{ \rho_m }\) = density of medium

\(\large{ \rho_p }\) = density of particle

\(\large{ d }\) = diameter

\(\large{ C_d }\) = drag coefficient

\(\large{ g }\) = gravitational acceleration

\(\large{ m }\) = mass

\(\large{ \eta }\) = viscosity of medium

\(\large{ W }\) = weight of object

 

Tags: Equations for Velocity