What is Angular Velocity in Physics? it is also known as Angular Frequency Vector, it is a measure of rotation and its rate, which basically refers to how fast the object in question rotates or revolves relative to another point. It is the measure of how fast the angular position or object orientation does move or change with time.

In the field of Engineering, the angles or angular displacement are usually commonly measured in degrees or in revolutions. The angular velocities in revolutions per minute. This is called rpm. In the field of physics and mathematics, the angular velocities is usually measured in radians per second. The following are the conversion factors: 1 degree=0.0175 radian, 1 rpm= 0.105 radian per second.

In some scenarios, the angular velocity is regarded as a frequency and the choice of terms depend upon the system which is being considered, basically which aspect of the system. In alternating electric current produced by generator it is described in terms of frequency.

There are two types of Angular Velocity - Orbital Angular Velocity and Spin Angular Velocity.

Orbital Angular Velocity-  Orbital Angular Velocity is a point object moves around a fixed origin of place. This is the time rate of change of its angular position which is relative to the origin.

Spin Angular Velocity-  Spin angular velocity is How fast a rigid body moves with respect to its centre of rotation and is not dependent of the choice of origin.

The total angular momentum of any object is the sum of the spin and orbital angular momentum. The orbital angular velocity is always parallel and directly proportional to the orbital angular velocity vector of the particle. Here the constant of proportion is dependent on the body of particle mass and its particular distance from origin. The Spin Angular momentum is also proportional but it is not always parallel to the spin angular velocity vector.

In usual terms the angular velocity has dimensions of angle per unit of time. The SI unit of angular velocity is radians per second. The radian here does not have dimensions. Hence the SI unit for Angular velocity may be listed as -1. The angular velocity is usually termed by the symbol omega. Positive angular velocity is counter clockwise while the negative angular velocity is negative. Angular Velocity is psedovector where the magnitude which is measuring the angular speed. That is the rate at which the object rotates or revolves. The direction is perpendicular to the plane of rotation or angular displacement. The angular velocity orientation is usually specified by the right hand rule.

The Angular momentum is an extensive quantity which means that the total angular momentum of any system is the sum of -

Angular momentum of the parts. For a rigid body the total angular momentum is the volume integral of angular momentum density over the entire body.

Orbital Angular momentum in three dimensional space of time.

The relationship between force (F) , Torque, Momentum and angular momentum vectors in a system which is rotating. The r is the position vector.

How do we define it in the 3 D system- We need to know the rate at which the vector which is in position sweeps out angle the direction perpendicular to the plane of angular displacement. There is mass involved. Also there is the definition how mass is distributed to the space.

In liner momentum what is the Analogy?

- It is the rotation analog to the linear momentum. Here it will involve the elements of mass and displacement just like linear. But it also involves the position and shape unlike in linear. Many physics problems involve mass or matter in motion at a certain point in space. Even if it is moving or not. There can be many questions for it,- can it exert energy or perform work.

Energy, the capability to do work, can be kept in matter by setting it in motion—a combination of inertia and its displacement. Inertia is measured by its mass, and displacement by its velocity.

How do you find Angular Velocity?

Angular Velocity units are radians per second. This is usually described by the symbol omega and the radians are basically unites quantity.

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