Question

relation between torque and angular momentum

Answer 1

Angular moment is the canonical momentum conjugate to rotational displacement. Torque is the generalised force associated to rotational displacement.

In the Lagrangian formulation of a system, the Euler-Lagrange equation of momentum stipulates that the generalised force (dL/dq) is the time derivative of the generalised momentum (dL/d q dot). Therefore, the relationship between angular momentum (l) and torque (T) is that dl/dt = T. Torque equals the time derivative of angular momentum.

Answer 2

Torque= I×w

$angular \: momentum \: = I\alpha$


$\frac{torque}{ang.momentum} = \frac{w}{ \alpha }$