# **Angular Velocity Definition**

From its origins, physics has tried to understand how things move. In this sense, the movement is associated with a series of concepts such as force , speed , inertia or gravity.

### Angular velocity

When a mobile moves in a circle of radius r, it travels through a space that can be expressed in meters. At the same time, it travels an angle and for this reason we speak of angular displacement.

In uniform circular motion (MCU) an angular velocity is produced, normally described with the letter w. Said velocity indicates the angle described by the radius of a circle in a unit of time. Consequently, angular velocity is equal to the angle divided by time. While angles are measured in degrees, time is measured in seconds (angles can also be measured in radians).

### An illustrative example

If a mobile with uniform circular motion takes 10 seconds to make 4 turns, its resulting angular velocity would be 144 degrees per second (since each turn is 360 degrees and 4 turns are made, there is a total of 1440 degrees, which divided by 10 seconds give the amount of 144).

### The angular velocity is integrated into a type of movement, the kinematics

Mechanics is the part of physics that studies the movement of bodies. This discipline is divided into three branches: kinematic , dynamic and static . Angular velocity is related to kinematics, since this branch studies the movement of bodies without taking into account their mass or the forces produced by an agent. The dynamics is concerned with studying the movement of bodies taking into account the forces that produce said movement. Finally, static studies the bodies that are in equilibrium , that is, at rest.

Sometimes, angular velocity does have relation to the concept of force. This is what happens in the movement that occurs in the hammer throw in athletics . In this sense, the turns made by the pitcher are aimed at the hammer reaching a high angular momentum.

This movement involves a series of physical concepts, such as the radius of rotation, the angle of departure of the device, the speed of rotation and the force exerted by the athlete.

Finally, it is worth remembering that the revolutions per minute (rpm) of washing machines or motor vehicles can also be expressed in angular velocity units.

Photo: Fotolia - sp4764

**Angular Speed Topics**