Torque is angular momentum derivative

In the case of a single particle, the total vector sum of all the external torques acting on a particle is equal to the time rate change of the angular momentum of that particle.

In the case of a system of particles, the net external torque acting on a system of particles is equal to the time rate change of the system’s total angular momentum.

Links:

  1. Wikipedia.

time

time.

Symbol:

t

Latex:

\(t\)

Dimension:

time

angular_momentum

Pseudovector of net angular_momentum as a function of time.

Symbol:

L(t)

Latex:

\(L \left( t \right)\)

Dimension:

length**2*mass/time

torque

Pseudovector of net torque as a function of time.

Symbol:

tau(t)

Latex:

\(\tau \left( t \right)\)

Dimension:

force*length

law

tau(t) = Derivative(L(t), t)

Latex:
\[\tau \left( t \right) = \frac{d}{d t} L \left( t \right)\]