Generalized velocity
= Generalized velocity
{title2=$\dot q_i=dq_i/dt$}
The <time derivative> of a <generalized coordinate>. It is an independent velocity argument of a mechanical <Lagrangian>, but need not have the units or direction of a Cartesian <velocity>: for an angular coordinate it is an <angular velocity>. A regular <Legendre transform> replaces these variables with the corresponding <canonical momenta>.