Multiple Representations is the idea that a physical phenomena can be explored in many different ways. For example, there is the physical representation which models the system with figures and diagrams, such as a free body diagram. There is also the mathematical representation which uses the equation(s) governing the physics of the system. All of the representations can be used together to help us understand and quantify the physical phenomena.

 

Observe the different types of representations for this section below;

Physical Representations explain the features of the situation in a visual way, often with vector representations of physical quantities overlaid a simple diagram or picture of the situation.

Mathematical Representation uses equation(s) to describe the situation.

The Physics classroom has a great walkthrough for Uniform Circular Motion.

Graphical Representation describes the situation through use of plots and graphs.

College-Physics does a number of good plots that look at Uniform Circular Motion.

Descriptive Representation is made up entirely of words or annotations. Think about how you might explain the situation to someone else.

Cory is on a marry-go-round with a radius of 1.5m. Andrew is spinning the marry-go-round so that Cory is moving at 3 m/s. Cory is barely able to hold on to the marry-go-round due to his radial acceleration. Andrew is a Jerk…

Actual Phenomena could be thought of as doing the experiment. For example, if you're asked which of two runners, with different characteristics of their speeds, will win the race, one way to determine that would be to get two runners to run in the described way and see who wins.

A funderful video with objects undergoing Uniform Circular motion

Also, Wolfram Alpha does a spectacular analysis of tether-ball. (This does require you to sign up and download an add on)