Uniform circular motion


The Uniform Circular Motion is described with the same characteristics as the Uniform Rectilinear Motion, the only difference is that it is done in a straight line, while the MCU describes a circular path, this means that the movement being executed is constant in terms of speed and acceleration which is null, however the direction taken by the object under study is different in the presence of a curved path joined at its ends.

Unlike the MRU, the Uniform Circular Motion works with variable and data according to the circle in which we study, we are based then on the relationship of the angle that the moving particle takes with respect to the center of origin which is located in the center of the circumference. In MCU, a so-called Radian is used as a unit to define displacement, which describes a distance that travels all around the circumference. The Uniform Circular Motion must be plotted on a Cartesian plane, however the curve must be expressed in terms of radians, fundamental versors (0, I, J) are responsible for measuring the angle and amplitude of this in the circumference.

The angle must be measured in radians, however trigonometry plays a fundamental role in simplifying the result, this angle can also be measured in degrees which are conceived thanks to the complex use that can be given to degrees. In this way we can find the following data: The entire circumference measures a total of 2π (2Pi) radians or what is equal to 360º since the unit π (Pi) in this area is equivalent to 180º, half a circumference is equivalent to 1π or what which is the same as 180º, a quarter of a circumference can be denoted as π/2 or 90º and so on until we have, with the help of trigonometry, a complete field of angles for study. In everyday life, this movement has a very diverse application, typical of those objects that describe a revolution of constant speed, such as a Ferris wheel, the plate of a microwave oven, among others.