**Angular Displacement Definition**

Angular displacement is defined as “the angle in radians (degrees, revolutions) through which a point or line has been rotated in a specified sense about a specified axis”. It is the angle of the movement of a body in a circular path.

**What is angular displacement?**

It is the angle made by a body while moving in a circular path. Before we go any further into the topic, we have to understand what is meant by** rotational motion.** When a rigid body is rotating about its own axis, motion ceases to become a particle. It is so because in a circular path velocity and acceleration can change at any time. The rotation of rigid bodies or bodies which will remain constant throughout the duration of rotation, over a fixed axis is called rotational motion.

The angle made by the body from its point of rest at any point in the rotational motion is the angular displacement.

For example- If a dancer dancing around a pole does one full rotation, his or her angular rotation will be \(360^{o}\). On the other hand, he or she makes half a rotation; the displacement will be \(180^{o}\).

It is vector quantity, which means that it has both magnitude and direction.

For example, an displacement of \(360^{o}\), clockwise is very different from \(360^{o}\), counter-clockwise.

**Unit of angular displacement**

The unit for this is **Radian **or **Degrees. **Two pi radian equals to \(360^{o}\).

**Measurement of Angular Displacement**

It can be measured by using a simple formula. The formula is:

\theta =\frac{s}{r}, where,

\theta is the angular displacement,

s is the distance travelled by the body, and

r is the radius of the circle along which it is moving.

In simpler words, the displacement of object is the distance travelled by it around the circumference of a circle divided by its radius.