Angular Momentum of an Object with Linear Momentum

on . Posted in Classical Mechanics

Angular momentum of an object, abbreviated as \(\Delta L\), is the porportion of the average net torque and the time interval the torque is applied to.

 

Angular Momentum of an object with linear momentum formula

\( L =  m \; v \; r_{\perp}  \)     (Angular Momentum of an Object with Linear Momentum)

\( m =  L \;/\; v \; r_{\perp} \)

\( v = L \;/\; m \; r_{\perp} \)

\( r_{\perp} = L \;/\; m \; v \)

Symbol English Metric
\( L \) = angular momentum   \(lbm-ft^2 \;/\; sec\)  \(kg-m^2 \;/\; s\)  
\( m \)  (Greek symbol tau) = mass \(lbm\) \(kg\)
\( v \) = velocity  \(ft \;/\; sec\) \(m \;/\; s\)
\( r_{\perp} \) = perpendicular radius is from a chosen axis to the mass's line of motion \( ft \) \( m \)

 

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Tags: Momentum Angular