Angular momentum is rotational inertia times angular speed

For a rigid body rotating around a fixed axis, the component of its angular momentum parallel to the rotational axis is found as the product of the body’s rotational inertia and the magnitude of its angular velocity.

Conditions:

1. The body is rigid.

2. The axis of rotation is fixed.

3. The origin of the coordinate system lies on the axis of rotation.

Links:

1. Wikipedia, vector counterpart of this law.

angular_momentum

Component of the vector of angular_momentum parallel to the rotational axis.

Symbol:

L

Latex:

\(L\)

Dimension:

length**2*mass/time

rotational_inertia

rotational_inertia of the body about the given rotational axis.

Symbol:

I

Latex:

\(I\)

Dimension:

length**2*mass

angular_speed

angular_speed of the body.

Symbol:

w

Latex:

\(\omega\)

Dimension:

angle/time

law

L = I * w

Latex:

\[L = I \omega\]