# Circular Motion

## Circle Geometry

### In order to understand the Motion of Objects in a Circle, first the Basic Geometry of a Circle is required :- ## Angular Displacement

### The first variable to be considered is the Rotational equivalent of Displacement, the Angular Displacement ( θ ), which is defined as the change in Angular Position between two points and can be found by :- ## Angular Velocity

### An object moving in a circular path will have an Angular Velocity ( ω ), which is defined as the rate of change of Angular Displacement and can be found by :- ### In order to convert between Linear ( Tangential ) Velocity and Angular Velocity for an object, the following formula can be used :- ## Alternate versions of Angular Velocity

### The Periodic Time is related to the Angular Velocity by :- ## Angular Acceleration

### An Object which changes is Angular Velocity will have an Angular Acceleration (), which is defined as the rate of change of Angular Velocity and can be found by :- ### In order to convert between Linear and Angular Velocity for an object, the following formula can be used :- a = r α

## Equations of Angular Motion

### As can been seen from the above formulae, there is a linear relationship between the Tangential and Angular Velocities. Due to this, the Equations of Motion can be easily converted in to Angular motion :- 