Terminal Velocity

on . Posted in Classical Mechanics

velocity terminalTerminal velocity, abbreviated as \(v_t\), is when atmospheric drag on a falling object becomes equal and opposite to the acceleration due to gravity.  The object at terminal velocity has zero acceleration and constant speed as the net force on it is zero.

 

Terminal Velocity formula

\( v_t =   \sqrt { 2 \;m \; g \;/\; C_d \; \rho \; A  }   \) 
Symbol English Metric
\( v_t \) = terminal velocity (maximum falling speed) \(ft \;/\; sec\) \(m \;/\; s\)
\(\ m \) = mass \(lbm\)  \(kg\)
\( g \) = gravitational acceleration \(ft \;/\; sec^2\) \(m \;/\; s^2\)
\( C_d \) = drag coefficient   \(dimensionless\)
\( \rho \)   (Greek symbol rho) = density of fluid \(lbm \;/\; ft^3\) \(kg \;/\; m^3\)
\( A \) = area of object \(ft^2\) \(m^2\)

 

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Tags: Velocity