How is angular momentum related to angular speed?

How is angular momentum related to angular speed?

Definition in classical mechanics angular momentum L is proportional to moment of inertia I and angular speed ω measured in radians per second. Unlike mass, which depends only on amount of matter, moment of inertia is also dependent on the position of the axis of rotation and the shape of the matter.

Is angular momentum in the same direction as velocity?

The angular momentum and angular velocity vectors always point in the same direction.

What does angular momentum depend on?

angular momentum = mass × velocity × distance (from point object is spinning or orbiting around) Very often in astronomy, the object (or group of objects) we're observing has no outside forces acting on it in a way to produce torques that would disturb the angular motion of the object (or group of objects).

How do you find angular momentum from moment of inertia and angular velocity?

In physics, you can calculate angular momentum in the same way that you calculate linear momentum — just substitute moment of inertia for mass, and angular velocity for velocity....The angular momentum equation

1. L = angular momentum.
2. / = the moment of inertia.
3. W = the angular velocity.

Why is V WR?

V = wr uses w instead of omega for keyboard convenience, where w equals radians per second., and r is the radius. If the period of rotation is t, then w = 2pi/t (two pi radians in a circle divided by one rotation period). So v = 2pi*r/t.

How is angular momentum calculated?

p = m*v. With a bit of a simplification, angular momentum (L) is defined as the distance of the object from a rotation axis multiplied by the linear momentum: L = r*p or L = mvr.

Does angular momentum have direction?

Angular momentum is a vector and, therefore, has direction as well as magnitude.

Is angular momentum frame dependent?

It's easy to imagine another frame where the z′ axis is parallel to →ω and in that frame, my intuition suggests that the angular momentum should be parallel to the angular velocity. That suggests that the angular momentum depends on the frame.

How is the angular momentum of a particle related to its velocity?

• The orbital angular momentum vector of a particle is always parallel and directly proportional to the orbital angular velocity vector ω of the particle, where the constant of proportionality depends on both the mass of the particle and its distance from origin.

Why is the angular momentum parallel to the stick?

• The angular momentum is parallel to the stick. But the stick itself is inclined w.r.t another, stationary, reference axis and is rotating about that axis. The reason for using r parallel to the arms and not the stationary axis is is because r is perpendicular to the axis about which the masses are rotating.

Can you change the direction of angular momentum?

• As such it can (and, generically, it will) change the direction of ω → to produce an angular momentum in some non-parallel direction. One of the questions that this leaves open, however, is just how different these two directions are allowed to be.

How is angular momentum related to Maxwell electrodynamics?

• Angular momentum in optics. In classical Maxwell electrodynamics the Poynting vector is a linear momentum density of electromagnetic field. The angular momentum density vector is given by a vector product as in classical mechanics: The above identities are valid locally, i.e. in each space point in a given moment .