The concept of angular momentum transfer from a body due to rotation is called the principle of moments. A number of rotating particles will always result in the creation of momentum i.e. torque or centrifugal force.
This creates a net force that acts in a direction that is parallel to the motion of the particles. It is important to recognize that this is a dynamic process. The direction of the net force does not change over a period of time. However, the magnitude of the net force changes over time. The magnitude is termed as the Correlated Time and Area (CTA) of the system.
The total time that a system takes for it to complete one revolution is known as the time variable of the system. This term is derived by dividing the time interval between the first moment of rotation of the system with the last moment of that system. The term of the system is then written as the time variable. This then can be expressed as the momentum of the system divided by the time interval. The values of the momentum can be plotted on graphs of a Cartesian surface.
The particles that are involved in rotational motion undergo three unique changes at different times. The first is that the orientation of the particles. When the system is rotating about an axis, the orientation of the particles may change. In some cases the particles are oriented about their source of rotation.
The second change is in the velocity. The velocity of particles is expressed as a vector sum over all the velocities of the system. The third change is in the direction of motion. In a system that has a single orientation, the direction of motion is always parallel to the x-axis. In systems with two or more orientations, the direction of motion can be changed from the normal to the perpendicular to the x-axis.
There are many types of rotational motion. Most systems of motion will be described as “periodic” or “periodic in time.” Periodic motion is a continuous motion that is characterized by a frequency of movement that is the same for the entire duration of that motion. Some types of rotational motion are also periodic in nature but have periods of lesser periodicity. Examples of such include pulsating, rotating, and scalloped motion.
Rotational motion occurs in systems of particles that are spinning. The particles in such a system can move in any direction, but their orientation along an axis is essential for their motion. The direction of the motion is determined by the orientation of the particles’ center of mass. If the orientation of the center of mass of the particles is clockwise, then the particles spin in a clockwise direction. Similarly, if the particles are moving in an anti-clockwise direction, they spin in a counter-clockwise direction.
A second example is the systems of sub-atomic particles. These particles are very small, and so, their motion is very slow. For this reason, the laws of relativity state that nothing can travel faster than the speed of light. It has been proven that the speed of light only increases when you include unicellular matter such as microbes. Thus, it is impossible for any system of particles to travel faster than the speed of light. The only exception to this rule would be if you were to create a wormhole to send information through to someone on another planet.
The rotational motion of particles in such systems, as already stated, is not an important factor in their motion. So, what is the effect of adding such particles? In simple terms, the new particles will attract others, and thus, increase the total number of particles. It will then follow that the total number of space-time continuum units that are filled by these particles will increase. It is this increase that leads to time and space compression. We have talked about how the existence of some invisible “virtual particles” could lead to time compression.
Now let us consider a more mathematically valid example, which involves four rotating systems. The first, we can take the systems of particles that are arranged in a ring. When we rotate the system, all the particles would be forced to travel around the ring in a similar pattern. This would, of course, result in a torque, which would make the ring rotates. Hence, the first form of “motion” would be the torques, or rotational motions.
The second form of motion is the clocks, or periodic variations, of a system. For this, there are two ways of measuring the motion: with respect to the definite time, and with respect to the mean time. If we consider the first case, the particles that are being added will eventually be dislodged, and so the system will slow down. But in the second case, the system will continue to rotate without any loss of particles. Hence, the clock might be considered to be a true form of “motion”, although it is not really a rotation.