![]() ![]() ![]() θ therefore defines the angular position of the rotating particle. The characteristic feature of circular motion is that the radius is fixed and only the angle θ moves as time proceeds. (If you are in doubt, remember that a full circle is 2π radians and that the circumference is 2π r. ![]() If θ is measured in radians, then the distance travelled by the particle from the x axis, measured round the arc of the circle is s = rθ. It is much more convenient to use polar coordinates, r representing the distance to the centre of the circle and θ representing the angle measured anticlockwise from the x axis. Which has an unfortunate ambiguity of sign. We can use Cartesian coordinates, but these are not very convenient, the relationship between x and y on a circle of radius r is We first need a way of defining the position of a particle in its circular motion. We initially start with this simplified version, but it will need to be generalised because some problems in chemistry require a more sophisticated analysis. This topic deals with a single mass performing a circular motion. ![]()
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